{"text":"Question: Solve -2711 = -423*b - 738 + 9448 for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5128232 by 4.\nAnswer: -1282058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that 3*q**5 - 8627*q**4\/5 + 1126149*q**3\/5 + 6720115*q**2 - 915000*q - 450000 = 0.\nAnswer: -25, -1\/5, 1\/3, 300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 92731, 370746, 834103, 1482802?\nAnswer: 2316843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 24 = -6*h. Let n = -3 - h. What is the first derivative of 6 - 2*k**4 + n*k**4 + 2 wrt k?\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2424 (base 9) in base 10?\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -55 + 70.9. Let k = w + -2.9. Let b = 12.6 - k. Sort -4, b, -5.\nAnswer: -5, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 2*o - 9. Let c(n) = -n + 4. Calculate -5*c(q) - 3*p(q).\nAnswer: -q + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rcr when three letters picked without replacement from rrccrc?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -156*9455\nAnswer: -1474980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 59*r**2 + 6 - 10 + 4*r**2 + 17*r**2)*(r + 4*r + 4*r) to z + h*r + d*r**2 + t*r**3 and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-360)\/(-16))\/(20\/8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -117 = -f - 228. Let y = -56 - f. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1655047 is divided by 4770?\nAnswer: 4627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yfpy when four letters picked without replacement from yfypf?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.775471 litres in millilitres?\nAnswer: 4775.471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) be the third derivative of -a**5\/30 - a**4\/24 - a**3\/3 - 121*a**2 - 2. Let r(f) = 2*f**2 + 2*f + 3. Determine -5*l(v) - 4*r(v).\nAnswer: 2*v**2 - 3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 256*j**4 - j**3 - 515*j**2 + j + 130792.\nAnswer: 3072*j**2 - 6*j - 1030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -10306*n - 72114. Calculate s(-7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-44750)\/(-15) - -2*(-1)\/(-3). What is the hundreds digit of b\/28 - (-16)\/(-28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-3))\/(24\/(-16)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y**6*y)*y*y\/(y**5\/y))**(5\/7)\/((y**(4\/9)*y*y*y**(-2\/5)*y*y)\/(y*y*y**(-2)\/y*y*y**0\/y)) assuming y is positive.\nAnswer: y**(-3389\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 3513596 smaller than 3513595?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j**3 - 13*j**2 + 3*j + 30. Let m be i(14). Let f = 413 - m. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 2*a - 12. Let b(s) = s - 6. Let o(f) = -5*b(f) + 2*l(f). Let t be o(3). Calculate the greatest common factor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -a**3 + 33*a**2 - 217*a + 1492. Calculate l(27).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 368 a factor of 662633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 109b - 722?\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 181 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 26c8 (base 15) to base 8.\nAnswer: 20140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3963773 to the power of 1\/4, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a millennium in years?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - 25) + 12 - (6 + 2).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 405195184?\nAnswer: 2, 61, 415159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 5 - 35 = 0. Suppose -m = -15 - d. Solve p - m = -5*i, 15 = -2*i + 5*i + 2*p for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1580*l + 407*l - 38 - 2.\nAnswer: -1173*l - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 34 + -90. What is the common denominator of 43\/6 and 1\/((d\/38)\/2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 5*u + 7 = 4*u, 2*d + 4*u + 18 = 0. Are d and 8\/17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 15\/26 - 1\/13. Let x = 19 + 50. Let c = x - 69. Which is smaller: c or v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yyf when three letters picked without replacement from {f: 4, y: 10}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 15 - 37. Let l = o - -15. Is l < -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 2783.5 and 2.\nAnswer: 2785.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2991555529 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 57460.27ml?\nAnswer: 57.46027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) be the third derivative of i**5\/5 + 8181*i**2. Let h(r) = -280*r. What is p(h(o))?\nAnswer: 940800*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -24*-67.17.\nAnswer: 1612.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 500*z - 165645778 = -52*z - 20188810. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41496 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2\/5)\/(2\/10). Let t be -1 - (p + -4) - -3. Let a be 3\/3*(t + -2). Solve -a - 18 = -4*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (40\/(30\/3))\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 3\/10  (b) -0.3663  (c) 4  (d) 1\/10  (e) -4\/11  (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, 0.1, -3\/7, 73, 0.13 in increasing order.\nAnswer: -3\/7, 0.1, 0.13, 2\/5, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11408 is divided by 5703.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3.87 + -0.13. Which is the third smallest value?  (a) 16  (b) -5\/4  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00005894 rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -4*y. Let f be c(-1). Suppose f*z + 2 = 10. What is the first derivative of -1 + 0*i**2 + z - 2*i**2 wrt i?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = g**2 + 138*g + 3123. What is the remainder when 1492 is divided by n(-110)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - a - 13712 = 0, -2*o + 3*o + 2748 = -3*a. Let f = -568 + o. What is f rounded to the nearest one hundred?\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.45 + -0.013?\nAnswer: 3.437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*t**3 - 2*t + 2*t)*(0*t**2 - 7*t**2 - 3 + 4).\nAnswer: -14*t**5 + 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3575863845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6 and 26.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (372\/8)\/(2\/4). Let k = c + -34. Suppose -k = -4*i + 5*s + 56, -i = 5*s - 35. What are the prime factors of i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*p + 101 = 5*q - 3*p, 449*p = 2*q + 448*p - 41 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 5*p = -0*s - 21, 3*p + 3 = 3*s. Let n(v) = 6*v**2 - 4 + 643*v**3 + 0*v + 3*v + 645*v**3 + 3*v - 1290*v**3. Is n(s) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 less than 1168674464754?\nAnswer: 1168674464755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 16) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 7*s - 8*s - 3*s**2 + 2*s**2. Suppose 0*l - 2*t + 16 = 4*l, -14 = l + 5*t. Let k(f) = -7*f**2 - 7*f - 1. Calculate l*m(i) - k(i).\nAnswer: i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000368 to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -28, -66179, 2\/13 in ascending order.\nAnswer: -66179, -28, -3, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3\/1709 - -8146\/227297. Which is greater: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/2  (b) -0.1  (c) 2  (d) -0.2  (e) -1\/7  (f) 707.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -p**3 + 5*p**2 - 5*p - 6. Suppose 0 = -2*f - 2, 5*q - f = q + 13. Let y be k(q). Sort 11, -4, y in decreasing order.\nAnswer: 11, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -25.2 - -25. What is the third smallest value in -1, 1, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30*y**3 + 480*y**2 + 62*y**3 + 93*y**2 + 86*y - 31*y**3.\nAnswer: y**3 + 573*y**2 + 86*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/7  (b) 3  (c) 5\/12  (d) -1\/4  (e) 0.2  (f) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -93\/4 and 13\/4908?\nAnswer: 4908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*s - 13*s - 49*s + 71 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s = 4*g - 1, 75*s = 80*s + 5*g for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -295 + 591. Is a a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 2\/9, -2\/29 in decreasing order.\nAnswer: 2\/9, -2\/29, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n - 7 = -16*m + 12*m, 2*n - 4 = -m for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**4\/6 - 1895*u**3\/2 - 2842*u**2\/3.\nAnswer: -u**2*(u + 1)*(u + 5684)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 126165 (base 8) to base 6\nAnswer: 540221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.57 + 321.6?\nAnswer: 325.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 143.1 and -1?\nAnswer: -143.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*p + 1 - 1 + 24*p to the form h + u*p and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(112) + (1*sqrt(112) - sqrt(112)))*-5)\/(sqrt(700)*-1))\/(-4*(sqrt(216)*-4)\/sqrt(3)))**2.\nAnswer: 1\/4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*k - 26*k - 87. Put 4, 5, 7, k in decreasing order.\nAnswer: 7, 5, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 5\/4, -0.3, -87?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = -3, -6*k + k + 1907 = y. Suppose -35*l + 765 + 5720 = 115. Suppose -4*i - k = -2*a, 2*a - i = 3*a - l. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-48)\/90*1\/(-2). Put -2\/11, 0.5, w in ascending order.\nAnswer: -2\/11, w, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(153) + 0 + 3 - sqrt(153)) + -1 + sqrt(153) + 0 + 1*((sqrt(1088)*-2 - sqrt(1088) - sqrt(1088)) + sqrt(1088))*-5)**2.\nAnswer: 492*sqrt(17) + 257197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2784\/689 + 206\/53. What is the closest to 2 in -3\/5, m, 1\/2, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.51 - 0.09. Which is the closest to 1?  (a) w  (b) 0.2  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -86.4 - -86.4. Let t be (-2 - (-2)\/(-4))*2. Let j = 0.05 + -0.45. Which is the third biggest value?  (a) j  (b) v  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -125*s**4 - 4*s**4 - s**2 + s**2 + (s**2 - s**2 - 2*s**3)*(2*s + 0*s - 3*s).\nAnswer: -127*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(20)\/(sqrt(4)\/sqrt(2))*-5)\/((-3*sqrt(4840) + sqrt(4840))\/sqrt(8)) + 1.\nAnswer: 5*sqrt(2)\/22 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/((-896)\/36) + 2\/(-7)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the second derivative of -n**5\/20 + 7*n**4\/12 + n**3\/6 - n**2 + n. Suppose -235 = -556*m + 1608 + 456 + 1593. Calculate u(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3723.786 minus -291423.9?\nAnswer: 295147.686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/((-555)\/(-186) + -3). Let w = -62 - l. Let x be (-1)\/((-21)\/(-9)) + w. Which is bigger: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y + 13*k - 76 = 9*k, 0 = 2*y + 2*k + 1199 - 1237 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -3563646, -7127286, -10690926?\n\"Answer: -3563640*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -108 - -114. Let v(g) = -g - 5. Let d(l) = 1. Determine x*d(s) + v(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 19*r. Let m = 91 + -89. Let b(h) = -12*h**2 - 13*h**2 + 23*h**m. Give k(b(s)).\nAnswer: -38*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -b - 2*b**4 + 6*b**3 - 243942*b**2 + 243942*b**2 + 59 to p*b**4 + q*b**3 + k*b**2 + c*b + g and give g.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -41468, -82933, -124398, -165863?\n\"Answer: -41465*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -1018.23 to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*(0 - -5) - (-56 - 932688\/(-22752))?\nAnswer: 1\/158","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -114 - -4623414?\nAnswer: 4623300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-384)\/(-72))\/(-16)*1\/6*2.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.1 + 0.02. Let q = -2.92 + m. Let d = 1 - q. Which is the smallest value?  (a) d  (b) -4\/7  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 10 and 100540?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gggdgggggdggdg. What is prob of sequence ddd?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = 2*y - 4, 3*m = 2*m - y + 1. Sort 1, 4, 2, m in decreasing order.\nAnswer: 4, 2, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2240, 4349, 6436, 8507, 10568?\nAnswer: 12625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -214 - 98*n - 62 + 276. Let h(f) be the third derivative of f**4\/12 - 2*f**2. What is z(h(t))?\nAnswer: -196*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.004 + 3.004. Let t = 0 + 0.4. Let j = 0.3 - t. What is the second biggest value in 1, m, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 11.55  (b) 1\/6  (c) 12434\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 83.68497584 to one dp.\nAnswer: 83.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1*1*4\/(-14). Let b = 163 - 164. What is the closest to -2 in 0, b, p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3548 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*h - 5*h**2 - 2*h.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -6 + x**2 + 0*x**2 - 2*x + 0*x**2. Let i be h(5). Solve -3*v - 6 = i for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3958.\nAnswer: 2, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 3, c: 3, e: 6, z: 5}. What is prob of picking 1 c, 1 e, and 1 z?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-16)\/(-5) + -3 - 21051\/103360. Let v = r - -89\/323. Calculate the common denominator of v and -59\/2.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*s + 21728 = -448. What is the highest common divisor of s and 576?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*y**2 + 0*y**2 + 3*y**2 + (3*y - 2*y + y)*(-228*y + 201 - 201).\nAnswer: -455*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8751900623 + 8751900623 + 22*y.\nAnswer: 22*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -7, -2, 3.32?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 106 a factor of 510750294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = x**2 + 3*x - 4. Let w be i(3). Let c = 10 + -3. Let n = w - c. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1485737 - 1485737 - 3647*x**3.\nAnswer: -3647*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lv when two letters picked without replacement from {v: 1, l: 2, h: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-34)\/(-68))\/(11\/(-4)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16188.711681 rounded to the nearest 100?\nAnswer: -16200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25834 + 25834 + 4*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**2 + 5*v - 3. Let y be r(2). Let j = -48.066 + 46.066. Which is the nearest to j?  (a) 2\/3  (b) 1  (c) y  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -0.2, 2, -3, 66?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 168 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 4*k - 10 = 0, -u - 13 + 2 = 4*k. Let c = -27 + 82\/3. Is c not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -190466 = 10*o - 190226 for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.13*-1397.97156.\nAnswer: -181.7363028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*r - 2*r = 3*g + 17, 0 = g + 4*r - 5. Let o = g + 2. Let u be (2\/15)\/((-3)\/9). Which is the closest to -0.1?  (a) o  (b) u  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*p**2 + 0*p**2 + 3*p**5)*(6 + 1 - 5) + (0*p**2 + 18*p**2 - 2*p**2 + 3*p)*(-p**2 + 2*p**3 + p**2).\nAnswer: 38*p**5 + 6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5*j**2*z**2 - 19076*j**2*z - j**2 - 3914*j*z**2 + 2*z**2 + 11*z wrt j.\nAnswer: 10*z**2 - 38152*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k + 5 = -2*g + 10, -4 = -4*g for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 246 = 2*j. Let r = j + -80. Solve 3*h + r*h + 10 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 21695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -25 + 34. What is the lowest common multiple of 12 and y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -1\/3, -10, 8.22, 0.2, -16 in increasing order.\nAnswer: -16, -10, -1, -1\/3, 0.2, 8.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - q = -57 - 36, -j - 36 = 3*q. Let v be -1*((-4)\/(-6))\/((-18)\/j). Suppose -u = -0*u + 1. What is the third smallest value in 0.3, u, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - 12 - (2 - 0 - (-6 - -5)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (125\/(-1500)*(-6)\/(-1))\/((-1)\/(-4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (6\/16*2)\/((-4162)\/(-133184))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = p + 7. Let n be z(-2). Let l be 2911\/n - 1\/2. Let s = -584 + l. Calculate the common denominator of -93\/10 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 77?  (a) 88  (b) -2  (c) -2\/5  (d) 53\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 + g**2 + 249*g**4 - 2*g**5 - 249*g**4 + (26*g - 9*g - 12*g)*(-g**4 + g**4 - 2*g**4).\nAnswer: -12*g**5 + g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (7 + -1)*14\/4. Let w be 5\/(-15)*-1*n. Calculate the greatest common divisor of 1 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 86 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 1, h: 1, f: 1, q: 2, b: 1, c: 1}. Give prob of picking 1 x, 1 c, 1 h, and 1 f.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 232255 and 185804.\nAnswer: 929020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6 and ((-2)\/1)\/(24\/(-36))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/31 - 45327\/(-8091))\/(3\/9).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q + 116 = 10*o, 1661*q - 1666*q + 19 = 2*o for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of -485*(22\/(-10) - 19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is c in -21*c**4\/2 - 24*c**3 - 6*c**2 = 0?\nAnswer: -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 745042 (base 11) to base 13.\nAnswer: 329ac2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8.9703 + -1.0297. Which is the nearest to 1?  (a) -3\/4  (b) z  (c) -2  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(57)\/sqrt(3)*-5*-2.\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (14\/686*14)\/((-2)\/(-49)). Sort -145, 5, i.\nAnswer: -145, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 742243 is divided by 356.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -11  (b) -2  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:09 AM and 2:37 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 1452260.4+-0.3\nAnswer: 1452260.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3394777 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.114 - 0.436. Round y to 2 dps.\nAnswer: -0.55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the third derivative of k**4\/12 + 4*k**3\/3 - 3*k**2 - 5. Calculate o(-13).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + ((sqrt(72) - (sqrt(72) + 0 + sqrt(72) + 4)) + 3)*1 + -1 + 5 + 1)**2.\nAnswer: -48*sqrt(2) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -9549  (b) 0  (c) 0.1  (d) 15\/4  (e) -2\/3  (f) 4  (g) -3\/8\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 217 and 558?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 470 = 3*g, -410 = -2*g - 2*r - 102. List the prime factors of g.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*r = 2312 + 10708. Does 27 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-3)*f\/(f*((f\/f**17)\/f)\/f)*(f\/(f\/((f*f**(-1\/6))\/f)))\/((f\/f**21)\/f))**(-20) assuming f is positive.\nAnswer: f**(-2150\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 4 - 96?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1.4?  (a) -3\/2  (b) 0  (c) -124  (d) -1\/4  (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 + 1. Find the third derivative of -4*g**2 + g**3 - w*g**3 - g**3 + g**2 wrt g.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {q: 2, c: 1, w: 2, k: 1, j: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 63, 127, 191?\nAnswer: 255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -3*a. Let k(b) = -73*b**2. Determine f(k(i)).\nAnswer: 219*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**(-2)\/c*c)\/c*c**(6\/11)*(c**(3\/4)*c)\/(c*c*c\/(c*c*c**(-8\/9)*c)) assuming c is positive.\nAnswer: c**(-235\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-24057)\/(-324)*16\/36?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2448 + 2449. Put -3, 5, m, 41 in descending order.\nAnswer: 41, 5, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1121*u**3 + 242 + 9*u**2 + 18*u**2 + 1123*u**3.\nAnswer: 2*u**3 + 27*u**2 + 242","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2*(-3)\/(-6)*-6. Is 5 - z\/9*-3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 78 + -83. Let q be ((-26)\/52)\/(3\/(24\/n)). Let b = -6 + 4. What is the nearest to -2 in q, -0.2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1773380 divided by 14\nAnswer: -126670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/2 of a century in months?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s**3 - 7*s**2 - s - 1. Let j(p) = 3*p**3 - 15*p**2 - p - 1. Let z(c) = 2*j(c) - 5*y(c). Suppose 2*h = -o - 8, -o + h + 0 = 2. Does 7 divide z(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the third derivative of -u**11\/498960 + u**9\/90720 + 4*u**5\/15 - 12*u**2. Let n(q) be the third derivative of d(q). Determine j so that n(j) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 bigger than 44\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a millimeter in micrometers?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 185 is divided by 87?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 315 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -114, -246, -340, -390, -390, -334, -216?\n\"Answer: j**3 + 13*j**2 - 178*j + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -3*q - 8. Let a be j(-4). Let h(x) = -2*x + 3 + 2*x - a*x. Give h(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -3*v + 5. Let c(b) = -b + 2. Let u(t) = -5*c(t) + 2*n(t). Let x(k) = -k - 4. Let m(g) = -g - 5. Let f(a) = 4*m(a) - 5*x(a). Determine f(u(q)).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 263891208.84 to the nearest 1000000.\nAnswer: 264000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 22*t - 185*t - 15*t - 110*t in the form r*t + a and give r.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 54*s - 44*s. Solve 7*c - s*c + 3*y = 29, 0 = -2*y + 6 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -5 * 0.051\nAnswer: -0.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (600 - 600 + 68*v)*(3*v**3 + 0 + 0).\nAnswer: 204*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/5, 153, 0.1, -2, 5\/27?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = -5*k + 4*c, -3*c + 731564 = 731555 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37*t**3 - 24 + 7*t**3 + 14*t**3 + 13*t**3.\nAnswer: -3*t**3 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*g**2 + 3*g - g**2 + 5*g - 4*g wrt g.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15984\/14 - (-11)\/(924\/24) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*o + 5 = 29. Let z(g) = 5*g - 2. Let u(i) = i + 1. Let q(y) = o*z(y) + 6*u(y). Determine q(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -a**2 + 134323 + 1388*a - 1388*a + 0*a**2 - 134323.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 2 - 4 + 7*s**2 - s**2. Let d be v(-2). Suppose -z = -2*y - 11, -5*y = -0*z + 3*z + d. Solve 8 + z = -3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 45159.49ml in litres?\nAnswer: 45.15949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2042*f + 25 + 18 - 43 - 692*f.\nAnswer: -2734*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -1846*h + 758. What is the thousands digit of f(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, k: 4, h: 2, l: 2, q: 3}. What is prob of picking 1 k, 1 q, and 1 l?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 31433424020 + -2?\nAnswer: 31433424013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 81.862 - -0.138. Suppose 60 = 2*x + 60. Which is greater: s or x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 78969 - 55263. What is the hundreds digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7 (base 9) to base 5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*q**4 - 11864*q**3 - 9119940*q**2 - 474213600*q.\nAnswer: -4*q*(q + 56)*(q + 1455)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 410*x + 4320 - 15800 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 16.739 * -1.204\nAnswer: -20.153756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = b**2 + 3*b - 14. Let f be d(-6). Solve -4*t = -4*s - 0 - 4, t = f*s + 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 2*j**2 - 34. Determine n(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 279 and 846.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes after 2:09 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1271556743?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-4\/11)*o**(-16))**(-17\/5) assuming o is positive.\nAnswer: o**(612\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i\/(i*i*(i**2\/i*i)\/i*i*i*i)*i*i)*i)\/((i**(-2\/15)*i)\/i))**(-1\/12)*(i*i\/i**(-1\/7)*i)\/i**(-4\/3)*i**5*i*i**(-1\/3)*i*i*i assuming i is positive.\nAnswer: i**(16021\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 3333, 3241, 3101, 2919, 2701, 2453, 2181, 1891?\n\"Answer: i**3 - 30*i**2 - 9*i + 3371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -b**5 + 3*b**5 - 2*b**4 + 22*b**2 - 23*b**2 + (-2*b**3 - 4 + 4)*(2*b - 2*b - b**2) + b**5 - 3*b**5 + 4*b**5.\nAnswer: 6*b**5 - 2*b**4 - b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 11 - 8. Find the first derivative of 3*i**4 + 10 - 3*i**4 - h - 3*i**4 wrt i.\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -14*b + 29*b - 225. Calculate the remainder when 298 is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8.94 + -9. Let y = 10 + -10.34. Let l = y + f. Which is the smallest value?  (a) l  (b) 2\/3  (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4 and 0.26?\nAnswer: -1.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**3 - 49*b**2 + 52*b - 187. Determine c(48).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*d + 4*n - 42, 5*n = -266*d + 265*d for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1704502?\nAnswer: 2, 47, 18133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -435 divided by -145\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1432499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide (-52)\/(-4)*6 + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12\/(-18)*(-11)\/(1320\/(-45))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 124616 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve d**2\/8 + 2231397*d\/2 + 4979132571609\/2 = 0.\nAnswer: -4462794","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (10\/(-45))\/(48670\/2826)\nAnswer: -2\/155","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -83 - -86. Suppose 2*h - 746 = -4*a, -r*a + 172 = 3*h - 383. What are the prime factors of a?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0 + 1 + -3 + (-16)\/(-28) + 2108\/476. Solve 13\/2*l - 11\/4*l**2 - 1\/4*l**4 + 0 - 7\/2*l**x = 0.\nAnswer: -13, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -258.4 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a**2 + 11*a + 40. Let t be x(13). Calculate the greatest common divisor of 14 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5364*u**4 + 3236*u**4 + 3499*u**4 + (2 + 1 - 2)*(-u**2 + 2*u**4 + u**2) as a*u**2 + i + g*u**3 + k*u + q*u**4 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-3)\/9)\/((-1)\/(-3)). Let a(f) = 2*f - 4. Let m(w) = 119. Let c(b) = 65. Let j(i) = 11*c(i) - 6*m(i). Give y*a(t) + 2*j(t).\nAnswer: -2*t + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 183001 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 4*i + 10, 5*w + i = 397. Suppose 5*f = -0*b - 4*b + 77, 0 = 4*b + 4*f - w. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -348 - -484. Let h = 151728.14862 - 151864.15. Let x = r + h. What is x rounded to 4 dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 233 = 19*k - 55*s + 54*s, 0 = -k + 2*s + 19 + 3 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvcvvnwnvlvn. Give prob of picking 1 l and 1 n.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of -21.494 and 17.\nAnswer: -365.398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3  (b) -991  (c) 1\/4  (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 2*t. Let v(f) = -71*f + 41. What is q(v(n))?\nAnswer: -142*n + 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-10)\/4 + 7\/14 + 53. Suppose 4 = 4*b - 64. What is the greatest common divisor of w and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 106105578 and 1242?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -119911 - 1280*f + 119911.\nAnswer: -1280*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/(-6)*(39 - 29).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 2*x**2 + 2*x - 3. Let a be q(-3). Suppose -21 = -4*u + 5*w, 5*u - 30 = 176*w - 171*w. Solve -a*l + 12*l = -u for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q**2 - 2*q + 1. Let t be (-99)\/(-22) - (-2)\/(-4). Give z(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 12, u: 7}. What is prob of picking 1 y and 3 u?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 10\/9 of a hour?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -132, -250, -356, -444, -508?\nAnswer: -542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = -4*t - 392. Let m = 62 + t. Solve i = 3*i - m for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 11\/((-4)\/(-8)*-2). Let o(n) = 5*n**3 - 11*n**2 + 16*n. Let c(t) = t**3 - 2*t**2 + 3*t. What is a*c(j) + 2*o(j)?\nAnswer: -j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 48 - 124.3. Let p = -80.3 - v. Let i = -0.6 + 2.6. Which is the nearest to -1\/3?  (a) 0.03  (b) i  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 282 a factor of 58988668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 43951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -52 - -52. Let f(w) be the first derivative of w**3\/3 - 5*w**2\/2 + 241*w - 13. What is the hundreds digit of f(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.423 - 0.323. Are m and -1\/34 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -1202*d - 1208. Give g(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 28*q**3 + 6*q**2 - 38*q - 6. Let i(m) = -m**3 + m**2 - m - 1. Let k(y) = 6*i(y) - x(y). What is the second derivative of k(w) wrt w?\nAnswer: -204*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15296, 61196, 137696, 244796, 382496, 550796, 749696?\nAnswer: 979196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -50*p**2 - 1 + 1 + (p**2 - 2*p**2 + 2*p**2)*(2 - 1 + 0) - 2*p**2 + 1 - 1 to the form f + v*p**2 + a*p and give v.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -4.81603 to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -0*o - 6. Let d(r) = -r**3 + 8*r**2 + r - 4. Is d(o) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 553 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0087488 rounded to five decimal places?\nAnswer: 0.00875","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 725102381.\nAnswer: 53, 2447, 5591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*u = -639 - 2391. Let j = u - 72. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 135 minutes before 9:54 PM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 33 and 12406064?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 421*p - 437*p = -176 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Add together 5.87303 and 1944409.\nAnswer: 1944414.87303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the first derivative of 16\/3*p**6 + 136\/3*p**3 - 152\/5*p**5 + 17*p**4 - 134 + 16*p - 50*p**2. Suppose v(y) = 0. Calculate y.\nAnswer: -1, 1\/4, 1\/2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -13*d**2 + 9*d**2 + 9*d**2. Suppose 0 = -5*c + 3*c - 2*m + 10, -3*c + 7 = m. Let z(k) = c + 0 - 1 + 3*k. Calculate z(p(j)).\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: ((-46)\/230)\/(6\/25)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 5*l + 6. Let r(g) = -g**2 - 6*g - 7. Determine -6*i(s) - 5*r(s).\nAnswer: 5*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (19672\/(-159835))\/((-2)\/(-10))*(-3)\/16?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 209 is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mjvjvvjm. What is prob of picking 1 m and 2 v?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 53809756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.029 minus 375947985868?\nAnswer: -375947985867.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (10\/6)\/(60\/72)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8 + 6. Let j(h) = -h**3 + 6*h**2 - 11*h + 8. Let b be j(4). Sort b, 5, n in descending order.\nAnswer: 5, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w + 12 = 3*j - 13, -60*j - 129 - 3 = -72*j for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 601 (base 8) in base 6?\nAnswer: 1441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 47 and 31.\nAnswer: 1457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -1188715243 - 3\nAnswer: -1188715246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-23)\/2*(1 + -3). Let f(n) = 2*n**3 + 15*n**2 + 15*n + 11. Let x be f(-6). Suppose 22*d + x = s*d. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (4\/(-7) - (-90)\/(-63))\/(-10). Let n = -2.4 + -1.4. What is the closest to -0.2 in n, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r = -60202 + 32064 - 35510. What are the prime factors of r?\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3.2 - 1.8. Sort 0.2, c, 3 in descending order.\nAnswer: 3, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 391, -2 in decreasing order.\nAnswer: 391, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 2*v = 8, 4*r - 3*v = 8 + 2. Suppose 0 = h - 5*i + 509985, -r*h - i = -6*h - 1019997. Round h to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14528 is divided by 803?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 196020513 is divided by 3396?\nAnswer: 3393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -69\/16 and 17\/72.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4270\/13 + -3232364\/9841. Is -1 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g**2 - 5*g - 10. Suppose 0 = 2*w + 34 - 16. Let q be (w + 2)*(0 - 1). Give l(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 43\/4 of a milligram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4063 + -4063. Let j = -8.01 - -8. Let w = -5.99 + j. Which is the smallest value?  (a) f  (b) 0.3  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 2*i = 27. Suppose 0 = -3*j + 5*r - 2, 5*j - 5*r + 14 = -6. Let g = i - j. Calculate the greatest common divisor of g and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.02 - 2.02. Let j = -3.54 - -1.23. Let z = j + 1.71. What is the third biggest value in p, z, 0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -862 or 518?\nAnswer: -862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -2*f. Let k(a) be the second derivative of 1\/12*a**4 + 3\/2*a**3 + 124*a + 0 + 0*a**2. Calculate r(k(y)).\nAnswer: -2*y**2 - 18*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -3 - (-26)\/12 - -2. Let r = -1\/77 - -157\/231. Let i = y - r. Which is the third biggest value?  (a) -5  (b) i  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -9*i + 16. Let n(v) = 2*v - 3. Determine -33*n(u) - 6*r(u).\nAnswer: -12*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 76  (b) 3  (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37 = -2*p + 69. Suppose 2*z = -3*h + p, -2*h = -z - z - 52. What is the remainder when (48\/3)\/((-18)\/(-45)) is divided by h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the second derivative of -l**5\/10 + 29*l**4\/12 - 12*l. What is the third derivative of i(m) wrt m?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -71*s = 45*s - 93*s + 414. Is -3\/16 greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:05 PM and 12:52 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + 13 + (5 - 10) + -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -36*y**4 + 84*y**3 + 344*y**2 + 256*y. Let j(m) = -13*m**4 + 28*m**3 + 115*m**2 + 86*m. Let v(s) = 8*j(s) - 3*o(s). What is h in v(h) = 0?\nAnswer: -2, -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 at most -1623?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -206 (base 9) to base 4\nAnswer: -2220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = -4*c + 7*w + 596, 5*w = -4*c + 556. Let u be -9*4\/(-6)*3. Calculate the greatest common factor of u and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, -103, 1153, 3.\nAnswer: -103, -9, 3, 1153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than 67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (105*g + 101*g - 72*g)*(-2 + g**3 + 0 + 3)*(1 + 3 - 6).\nAnswer: -268*g**4 - 268*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -289*i**5 - 29*i + 4 wrt i?\nAnswer: -5780*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1.51 and 1023?\nAnswer: -1544.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 360545376 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((((sqrt(100) - -1*sqrt(100)) + sqrt(100))\/sqrt(5))\/((sqrt(144) - sqrt(36)) + sqrt(36))*-3 - ((6*sqrt(560))\/sqrt(7) + -1 + 3)**2).\nAnswer: 585*sqrt(5)\/2 + 8652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 24 and 113304.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 4, m: 10, d: 3, k: 1}. What is prob of picking 1 k and 1 q?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 4, d: 1, x: 1, h: 6, f: 1}. Give prob of sequence xf.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:39 AM and 6:23 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = -4*n - 8*l + 39, -4*n - l + 27 = 0. Suppose -6*m = -2*m - 40. Calculate the smallest common multiple of m and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:16 PM and 6:38 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 8 = 22. Let s(p) = 2*p**2 + 5*p. Let b(n) = n**3 + 2*n**2 - 18*n - 7. Let k(w) = b(w) + 2*s(w). What is k(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -22*w**5 + 5*w**3 - 23*w**2 + 5*w - 5. Let i(m) = m**5 + m**3 + m - 1. Let k(h) = 5*i(h) - v(h). What is the third derivative of k(x) wrt x?\nAnswer: 1620*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1416802 is divided by 12319.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the second derivative of -k**4\/12 + k**3\/3 - k**2 + k. Suppose 27*b = -42*b + 345. Determine a(b).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -13*o - 8. Let f(a) be the second derivative of -7*a + 0 + 0*a**3 - 1\/6*a**6 + 6*a**2 + 0*a**5 + o*a**4. Differentiate f(m) with respect to m.\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21572832 - -0.17716?\nAnswer: 21572832.17716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate l**3*r**2 - 2*l**3*r - 1890*l - 11936*r**2 with respect to l.\nAnswer: 3*l**2*r**2 - 6*l**2*r - 1890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30958?\nAnswer: 2, 23, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 15 + 33 = -5*b, 3*b = 3*u - 33. Let l be (-6)\/b + 220\/50. Find the common denominator of -105\/22 and (-514)\/(-40) + 2\/l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3 - -45?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15412679?\nAnswer: 41, 293, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -186 = -5*m - 4*k + 35, -2*k - 137 = -3*m. Suppose -5*g + 3*g = -4*s + 40, -5*g = -5*s + m. Suppose -828 - 998 = -s*q. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -12 - 49?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -351*h**3 - 2*h + 2*h + 49 + 350*h**3 + 7*h**4 wrt h?\nAnswer: 28*h**3 - 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 15 = -7. What is the remainder when 20 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*u - 3 + 3)*((-2*u - 2*u - 3*u)*(602 - 538 + 340) + 5*u - 2*u - 4*u).\nAnswer: 5658*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1981\/4  (b) 0.4  (c) 3  (d) 309\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 39462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a second in milliseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.07?  (a) 4  (b) -4\/7  (c) 16  (d) -1\/3  (e) 1.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 82894 divided by -5?\nAnswer: -82894\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d + 8. Let q be f(0). Let a = -5 + q. Suppose -x = -2*x + 2. Solve 2*t + z + a = -x, 2*t - 1 = z for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 280 + -311 - (-1 + -13).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:17 PM and 2:53 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -230 divided by 66522.\nAnswer: -115\/33261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 14172 by -1181.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sum -201 and -92186.\nAnswer: -92387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = 0, 20 = -0*q + 4*q - 4*x. Let s be -21*(-10)\/35 + -4. Suppose -3*i + q*f = -295, -i + 2*f = s*i - 307. Is 12 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 5:26 AM and 10:44 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2 + -13212123303?\nAnswer: -13212123301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1)\/(-3) + 53\/3. Let r = 13 - h. What is the units digit of (-2 + r\/(-2))*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the first derivative of 0*r - 4\/27*r**3 + 0*r**2 - 2 - 1\/18*r**4. Factor b(k).\nAnswer: -2*k**2*(k + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5392.\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -24*q**3 + 4233*q**2 - 5784*q + 1575.\nAnswer: -3*(q - 175)*(q - 1)*(8*q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5864 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5.018 - 0.118. Let g = 0.9 - l. Which is the closest to 0.1?  (a) -0.2  (b) -3\/4  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 228 = -4*l, 3*l - k - 161 = -0*k. Let a = 54 - l. Solve 2 = a*r + 3*g + 3, 4*g = -4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/u**(-9))\/(u\/(u**(3\/7)\/u)))\/(u\/u**1)**(-2\/5) assuming u is positive.\nAnswer: u**(59\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -c**3 - 23*c**2 + 15*c + 869. Give g(-22).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + ((0 + sqrt(396))*6 - -3*(sqrt(396)*2)**2) + (sqrt(396) - (-3*sqrt(396) + 5)) + -6*2*sqrt(396).\nAnswer: -12*sqrt(11) + 4750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -40*z**2 + 322*z - 15. Let f be b(8). What is the fifth biggest value in 2, f, -4\/5, -1\/7, 8?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1808?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 264 minutes after 12:04 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2359 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6069 = 69*s + 3861. Is s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1704.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4356)\/54)\/121*54*-3?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 231 and 30912?\nAnswer: 340032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6437661 divided by -64.\nAnswer: -6437661\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 139 + -209. Let p = h + 72. Find the third derivative of 21*m**5 - 12*m**2 + 10*m**5 + 43*m**p wrt m.\nAnswer: 1860*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -3 and -81747.5.\nAnswer: -81750.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 12*u - 110 = 0. What are the prime factors of (u\/25 - (-9)\/(-15))*-79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -7461.858111 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2 - 0) + 3 + -4. Let k be 1*20\/b*-3. Let x = -8 + k. Solve c + 3*c = x for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-7))**(-23\/3)\/(x*x\/(x\/(x**1*x))*x*x\/x**(10\/9)))**36 assuming x is positive.\nAnswer: x**1792","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -20.26 to the nearest integer.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(252)\/(3*sqrt(6) + sqrt(6))*-4)\/((sqrt(1200) - 1*sqrt(1200) - sqrt(1200))\/sqrt(8)).\nAnswer: sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 3143 divide 2445596097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q, 1 z, and 1 d when three letters picked without replacement from zqdqzrdzqdd?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1073987426 to the nearest integer?\nAnswer: 32772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(833)*1 + 3 - (2*sqrt(833) + -2))**2.\nAnswer: -70*sqrt(17) + 858","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 150647409869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9197 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -10 - -5. Let s = -0.04 + 2.04. Let u = d + s. Put -1\/4, 0.4, u in descending order.\nAnswer: 0.4, -1\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 3*u**3 + u**2 - 1. Let l be c(-1). Let o be (1 + 1)\/(6\/(-324)*3). Let n be o\/l + (-2)\/2. Solve -2*i + 1 = n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40*q + 54*q + 44*q - 139*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -20*v - 38 + 98 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-7\/3)\/i*i)\/(i*i\/((i*i**(-4\/3)*i)\/i)*i)*(i*i*i**(14\/5)*i)\/i*i*i**(1\/5) assuming i is positive.\nAnswer: i**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1944*s = 2152*s - 3913*s - 1647 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -69*t**2 + 89*t - 26*t - 10*t - 53*t - 196*t**2.\nAnswer: -265*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -959 or -146644\/153?\nAnswer: -146644\/153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = v**3 + 26*v**2 + 94*v + 133. Let d be h(-22). What is the closest to 0.81 in -5, -0.5, d, -0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 103, 98, 91, 82, 71, 58?\n\"Answer: -w**2 - 2*w + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -44*(3 - 1) - -4. Let h = -84 - s. Solve -r + 2*x + 2 - 17 = h, x + 20 = -5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10 + 18 + 8*r + 5 + 15 - 40.\nAnswer: 8*r + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/5 of a millennium in decades?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the third derivative of l**6\/40 + l**5\/20 - l**3\/6 + 705*l**2 - 1. Suppose -d + 3 = -0*d. Let m(g) = 6*g**3 + 5*g**2 - 2. Determine d*m(s) - 5*h(s).\nAnswer: 3*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2.7269 - 2.7731. Sort 18, 3, x, 2.\nAnswer: x, 2, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*z**3 + 369884906407*z - 369884906407*z.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n = -10*h + 70, 0 = 5*h - 19*n + 15*n - 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24 - 137*o**3 + 100*o**3 + 24.\nAnswer: -37*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {k: 2, x: 6}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 194197.68548866 - 194355.68549. Let r = n + 158. What is r rounded to seven decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 414 and 368.\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 432 minutes after 2:58 PM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -18.9 + 2.9. Let z = 14 + w. Which is bigger: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 51063, 51058, 51053, 51048?\n\"Answer: -5*r + 51068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -20*a + 125087 - 125087. Let r(j) = 71 - 13*j**2 - 71. Determine r(x(o)).\nAnswer: -5200*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 15) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 35097, 70199, 105301, 140403, 175505?\n\"Answer: 35102*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50 = -5*w - 25. Suppose y = -2*y + 5*j - 40, 3*y + w*j = 10. Let d = 4 - 7. Is y >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-5)\/(-105)*-6 + (-347600)\/(-77)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -9a58a + -4?\nAnswer: -9a591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**3 - 10*r**2 + 12*r + 5. What is the remainder when 253 is divided by m(9)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**2 - z - 1. Let k(f) = 2*f**2 - 2*f + 40. Calculate k(m) - w(m).\nAnswer: m**2 - m + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-48)\/(-21) - 22\/11. Let k = -0.4 + 0.9. What is the second biggest value in w, k, -1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2) - (sqrt(2) + 0)*4) + sqrt(6)\/sqrt(3) + -1 - (sqrt(72)*1 + (sqrt(2) - (2*sqrt(2))**2*-6) + 4).\nAnswer: -53 - 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from rlqsdddsdqqu?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*p + 15*p - c = 1, -p - 4*c = 14. Put 2, p, 28, 3, -12 in decreasing order.\nAnswer: 28, 3, 2, p, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -115743 - -202334. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55340976 a multiple of 2371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 42 a factor of 2530920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 2, -14, 0, 3 in decreasing order.\nAnswer: 6, 3, 2, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 1351 divide 618614509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 10 - 8. Solve 4*z - l*z = -2*v + 2, 0 = -5*v + 4*z + 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v + 8. Let y = -33 - -35. Suppose -8 = -a - 4, -5*b = y*a + 22. Let q be j(b). Calculate the highest common factor of 112 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 5 - x**2 + 8*x + 0 - 2*x. Let u be n(7). Let s be (u + 1)*(1 + 0). Which is smaller: -2\/7 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -33*n + 7*n - 15*n + 24*n**3 wrt n.\nAnswer: 144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -s**3 - 130 + 130 - s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12040 is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**(-2\/21))\/q)\/(q*q**(-5)) assuming q is positive.\nAnswer: q**(82\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2134045 is divided by 153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (100 + 162 - 16)*(4 + 2*o - 4) as p*o + k and give p.\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*sqrt(136)*-2)\/(sqrt(512) - (4*sqrt(512) - sqrt(512) - sqrt(512))) + -2)*3.\nAnswer: -9*sqrt(17)\/4 - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-6)\/((-2)\/4 - 55\/(-70)). Calculate the remainder when (12\/h)\/((-8)\/1036) is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 19*k - 18*k - 14565 = 0, -2*v + 3*k + 5826 = 0. List the prime factors of v.\nAnswer: 3, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*h + 27 - 2*h**2 + 175 - 21 + 4*h**2.\nAnswer: 2*h**2 + 6*h + 181","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4454, 8909, 13364, 17819?\nAnswer: 22274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/7 + (-7540)\/7280. What is the nearest to -0.2 in 3\/4, t, -0.1, 19?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -57.566 rounded to one dp?\nAnswer: -57.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fqfqfpqfjlffpf. Give prob of sequence pl.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - w = -6 - 23, 3*b - 5*w = -91. Let x = 29 + b. Let k(p) = 2*p**x + 3*p**2 - 7*p**2. Let u(m) = 5*m. Determine u(k(j)).\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000047788079 to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7404153.\nAnswer: 3, 53, 46567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(847)*3 + -3)**2 + 1 + 5 + -6*(-6*(sqrt(847) + -1) - (sqrt(847) + -2 + sqrt(847) + 3)).\nAnswer: 330*sqrt(7) + 7608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -10, -32, -58, -82, -98, -100?\n\"Answer: z**3 - 8*z**2 - 5*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -2*t**2. Let d be (2 - 0\/1) + 0. Suppose -3*n = 8 + 7, 2*w + 6 = -d*n. Let q(z) = -2*z**w + z**2 + 0*z**2 + 3*z**2. Determine a(q(h)).\nAnswer: -8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5774*f**2 + 574509*f - 398.\nAnswer: (2*f + 199)*(2887*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4\/7, 2\/635, -2\/13, 1, -4, 890, 0.1?\nAnswer: 890","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in 74\/63, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 243321*x - 3881*x**3 + 3924*x**3 - 243321*x.\nAnswer: 43*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*q + 2518 = -6*q. Suppose 4*i = 3*i + q. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -7*h**2 + 7*h + 33. Let m(t) = -2*t**2 + 2*t - 1. Let g(i) = -j(i) + 3*m(i). Let a be g(7). Solve 5*v = a*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0\/(8 + -15) + 834\/2. Let v = 824 + g. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.26 + 38.26. Let z = x + -38.4. Which is the closest to -3?  (a) 0.4  (b) z  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -145 or -4172\/29?\nAnswer: -145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1308108 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 1053 divided by -33\nAnswer: -351\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-57293*o**2 + 224*o**3 - o**4 + 57293*o**2)*(-3 - 2 + 1)*(-2 + 0 + 0).\nAnswer: -8*o**4 + 1792*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the first derivative of -101 + 13\/3*f**2 + 7\/6*f**4 - 8\/3*f - 10\/3*f**3 - 2\/15*f**5. Solve y(v) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.161 times 0.04?\nAnswer: 0.00644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -11807.27074 rounded to 1 decimal place?\nAnswer: -11807.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (s**3 + 5*s - 5*s)*(3*s + s**2 - 3*s) + 1 - 1 - 3*s**5 - 4*s**5 + 3*s**5 + 7*s**5.\nAnswer: 4*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6565 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 457*b**5 - 117621*b**2 + 1515*b - 6714 wrt b?\nAnswer: 9140*b**3 - 235242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -161*h**4*y - 2*y + 78 wrt h?\nAnswer: -644*h**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 8905250 to the power of 1\/2, to the nearest integer?\nAnswer: 2984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-14) + -1*(-231)\/(-49)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 18*m. Let i(h) = -818*h + 1. Give i(v(z)).\nAnswer: -14724*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52*w - 3*v = -55*w + 3, -w - v = 9 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 139143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (15*n - n**2 - 15*n - 2*n**3)*(-2*n - 2*n - 4*n) in the form z*n**2 + h*n**3 + p*n**4 + k*n + b and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -40.129 - -2.749. What is x rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 97 - (-123 + 125 + -33)?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -12 + 17. Let q = n - -16. Let g = q - 20.9847. What is g rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1058980927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1*(-1 - (-5 + 4)). Suppose -4*l + 232 = -u*l. List the prime factors of l.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(847) - (sqrt(847) + -1 + 0 + sqrt(847)).\nAnswer: -11*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:16 AM and 12:05 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33851*z + 489906 = 29048*z for z.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -166 and -6?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7330?\nAnswer: 2, 5, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -n - q - q + 6, -12 = -3*n - 3*q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (1193000\/75 - (0 - 7)) + (-2)\/(-6).\nAnswer: 2, 73, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1377*c**3 - 1483*c**3 + 378*c**3.\nAnswer: -2482*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 124889 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 29230 smaller than 29233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 * -5.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -13158, -27038, -42382, -59922, -80390, -104518, -133038?\n\"Answer: -122*h**3 - 13026*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -373, -4065, -14155, -33841, -66321, -114793, -182455, -272505?\nAnswer: -388141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the third derivative of k**5\/60 + k**4\/24 - k**3\/3 - 34*k**2 + 2. Suppose 2 = 2*i - 4*m - 14, -3*i = 3*m + 3. Determine b(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + -69 + 0 + (17995 - 17985)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t**3 - 6*t**2 - 7*t + 4. Let b be n(7). Suppose -9*k + 6*k - o = -5, -b*k = -5*o + 25. Solve k = 3*g - 6*g + 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -127*g + 819. Let s(w) = 34*w - 205. Let j(f) = -2*q(f) - 9*s(f). Give j(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.11823 - 892.48177. What is g rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.457 + 0.347. Suppose -3 = -2*y + 4*s + 1, -y + 5*s = -11. What is the biggest value in y, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-6 - -3) + (-57)\/2. Let f be 3\/(-9) - 97\/(-3). Let y = o + f. What is the second biggest value in -5, -0.3, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*i + 4*i - 133*i**2 - 8*i in the form n + r*i**2 + u*i and give r.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that -3*p**4 + 292440*p**3 - 19583478*p**2 + 337539312*p - 318248271 = 0.\nAnswer: 1, 33, 97413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/26?  (a) -0.3  (b) -1.61963  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 6729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.1 minus 79023?\nAnswer: -79024.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -23, 6 in descending order.\nAnswer: 6, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-16)\/(-6))\/((-6)\/(-9)). Suppose -2*c + 5*b + 26 = -c, 4*b = -a. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-42)\/14*88\/(-3). Calculate the highest common factor of j and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 76*f - 9. Let b(y) = 988*y - 114. Let l(w) = -6*b(w) + 76*c(w). Let m(x) = 2*x**2. Determine m(l(t)).\nAnswer: 46208*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*m + 20698 - 20902 = 0 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b - 3, b = -2*p + 6*p + 121. Let l = 60 + p. Let a = 523 + -518. What is the remainder when l is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 25 + -67 + 46 - (17 + 0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 166410260 to the nearest integer?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s\/(s*s*(s**(2\/5)\/s)\/s*s)*s)**(2\/147)*(s\/(s*s*(s\/(s**(-1\/4)*s))\/s))\/(s*(s\/s**(-2\/5))\/s) assuming s is positive.\nAnswer: s**(-4787\/2940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (24\/(-15))\/(2\/(-5)). Suppose m = j*m - 9. Suppose -m*d + 5*c + 2543254 + 1596751 = 0, -d = 4*c - 1379996. What is d rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 9 = 62. Let p = -24 + l. What is the units digit of 1*p*(7 + -6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 times 1.76?\nAnswer: 0.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -127\/238224 and -67\/196?\nAnswer: 1667568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the second derivative of -b**3\/3 + 5987*b. Let u(k) = -k**2 + 14. What is s(u(z))?\nAnswer: 2*z**2 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 400 minutes after 11:31 AM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -52 + -14 - (178 - 124).\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 22785407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 53 + -57 - (30 - -4 - -2)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h**2 + 47*h - 219. Give n(42).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 77\/60 and (-22)\/(-56)*(19 - (-20 - -38)).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -281 + 845\/3. Calculate the common denominator of k and 31\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 667837023?\nAnswer: 3, 7, 19, 157, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 87 a factor of 1374815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 4*x + 9. Let i(n) = 11*n + 28. Let m(f) = -8*h(f) + 3*i(f). Let v be m(-10). Solve -v*g - 3 = -7 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5012?\nAnswer: 2, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 51\/1639082 and -33\/14.\nAnswer: 11473574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*k - 10 - 5. Suppose 2*z + 20 = -2*z - 5*l, 4*z + k*l = -12. Which is the closest to z?  (a) 0.5  (b) -4  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 769658461 to the nearest one million.\nAnswer: 770000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2891*l**2 - 2093*l + 21 - 9 - 11 - l**3 - 1769*l wrt l.\nAnswer: -6*l - 5782","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -36 + 33. Let f be y\/(-21) + (-3)\/21. Round f to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.12 and -8663509.\nAnswer: -8663509.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 18967 to the power of 1\/2, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 13805344 and 224?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 8649692?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*(72\/(-16) + 9).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 107*c + 6. Let f(g) = -208*g - 10. Let l(p) = 3*f(p) + 5*m(p). Let n(y) = -3*y**2. What is l(n(i))?\nAnswer: 267*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-6)\/(-2) + 330\/55 - 6. Solve 7 = 5*f + v - 6, -5*v - 19 = -u*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 101789700 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 112893946.\nAnswer: 2, 11, 5131543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 4*s = -2*f - 6, 3*f + 4*s = 30. Let w be -4*(-3 - -1*2). Let t(q) = -6*q + f*q + w*q + 0 - 2. Let h(r) = 5*r - 3. Calculate 2*h(d) - 3*t(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 - (48 + -30) - (2 + -33 + 2).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a millennium in years?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -ab (base 15) in base 13?\nAnswer: -c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -16*y - 3. Let h be n(-1). Suppose 108 = h*k - 4*k. Let j(g) = -g**3 + 7*g**2 - 6*g + 6. Let d be j(6). What is the highest common factor of d and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 30202032 (base 5) in base 16?\nAnswer: 3acfc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**19*z*z**(5\/2)\/z)**3 assuming z is positive.\nAnswer: z**(129\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fsffsff. Give prob of sequence ff.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f**5\/7 + 10*f**4\/7 + 2*f**3\/7 - 10*f**2\/7 = 0. What is f?\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = -3*s - 0*z + 43, 5*z + 80 = 5*s. Let q be (-9)\/(-18)*102\/s. Is q bigger than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 135792004 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-1\/5)\/k*k)\/((k**(-2\/9)*k)\/k))\/((k*(k\/(k\/(k*k**(1\/6)))*k)\/k)\/k*k**5)*(k\/(k*k**(-2\/9))*k\/(k\/(k\/k**(1\/3)))*k)**22 assuming k is positive.\nAnswer: k**(3187\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 42.14 less than 65.15?\nAnswer: 23.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*i**2 + 2 - 2)*(-1 + 1 - 1) + (-4*i - i + 0*i)*(-6*i + 0*i + 5*i).\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 104 - 110. Let c be (p\/16)\/((-297)\/132). Factor -c*r + 1\/3 - 1\/6*r**2.\nAnswer: -(r - 1)*(r + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -112, -1044, -3606, -8614, -16884, -29232?\n\"Answer: -136*a**3 + a**2 + 17*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 15\/20732 and -54\/78913.\nAnswer: 22411292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v + 95 - 308. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -20 - 1210031?\nAnswer: -1210111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 23250.11436 rounded to the nearest 10?\nAnswer: 23250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5696155 + 5696155 + 20*w**3.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 7*z - 88. Let q(o) = -12*o + 176. Determine 5*f(k) + 3*q(k).\nAnswer: -k + 88","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1308 and 26737488?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 4, 2, -4, -14, -28, -46, -68?\n\"Answer: -2*w**2 + 4*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-10)*-4)\/((-3)\/(-15))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 46 + -43. Suppose 3*k + 3*o - 16 = 89, 106 = g*k + 2*o. Does 30 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70*v - 15*v + 1840 = 9*v for v.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1377) + sqrt(1377)*1 - (sqrt(2448) + -1*sqrt(2448)))**2.\nAnswer: 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:38 PM and 12:30 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -96354 + 96354.5. Suppose 0 = -i + 2*i + 2. Put -2\/13, j, i in decreasing order.\nAnswer: j, -2\/13, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 10 + 2 + 178\/(-15). Which is bigger: 4\/9 or l?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -56 - -56.76. Let y = 12.76 - d. Let v = 11.999508 - y. What is v rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -299680 rounded to the nearest ten thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3 - -5. Suppose -3*f - 209642 = z*p + 1390346, 799980 = -p - 5*f. Round p to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (16\/20)\/(3\/(-15)). Let v be -1 - x - (5 - 4). List the prime factors of (0 + v)\/(8\/100).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 78 - 91 - ((0 + 4 - 2) + 9)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -p**2 + 5*p**2 + p**2.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43*z - 4 = -5*p + 40*z, 0 = 3*p - 3*z + 12 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5298 + -5394. Sort 4, -3, 0, n.\nAnswer: n, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/4, -51.8, -12, -4 in descending order.\nAnswer: 1\/4, -4, -12, -51.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 306, -1, 2, -4, -2069 in descending order.\nAnswer: 306, 2, -1, -4, -2069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2440554551 - 4?\nAnswer: -2440554555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2691 and 134667?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-12)\/10)\/((-36)\/15 + 275367\/114760)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0042782 to five decimal places.\nAnswer: 0.00428","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -490695, -490694, -490693?\nAnswer: -490692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 3\/83, -3\/8, 1, -34, -0.1.\nAnswer: -34, -5, -3\/8, -0.1, 3\/83, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*d + 2*s - 2, 0 = 2*d - 3*d - s + 1. Let b(j) = 2*j - 4. Let c be b(2). Let n = d - c. What is n rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x**25)**(-37))**(2\/19) assuming x is positive.\nAnswer: x**(-1924\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-4))\/(8*(-7)\/(-336))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -34*l - 11 + 13 + 14 + 59*l in the form k + g*l and give g.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 2 + (10 - (-10)\/(300\/(-290)))?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 989 + 1171. Does 16 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6*(-1)\/(-6) - (50 - 53). Let x(l) be the second derivative of -2*l - 1\/24*l**p + 0 + 0*l**3 + 1\/4*l**2. Factor x(j).\nAnswer: -(j - 1)*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 25612 + -11529. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -3, 23, -1, -18 in decreasing order.\nAnswer: 23, 4, -1, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -471 + 265. Let q = w + 393. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43\/4 of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -m**3 + 3*m**2 - 3*m - 2. Suppose -80 = -6*d + 2*d. Suppose 4*t + d = -t. Let h(y) = y**3 - y**2 + y + 1. Calculate t*h(o) - 2*g(o).\nAnswer: -2*o**3 - 2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, 0, 2 in decreasing order.\nAnswer: 9, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 10011022210202 (base 3) in base 4?\nAnswer: 12122001302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 55 - 49 - (2 - -3 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 1544 = -2*c, 29*c - 5*a = 25*c + 3090. Let d = c - 773. Solve 0 - b**d + 0*b + 1\/6*b**3 + 1\/6*b**4 = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y**2 + 19*y - 32. Let l be u(4). Solve -3*v = -0*j + 2*j + 13, 0 = 5*j + 3*v + l for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 70 - 85. Let d(v) = v**3 + 16*v**2 + 3*v + 30. Let p be d(f). List the prime factors of 6\/15*p\/3.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12)\/(-162)*(-2349)\/(-5307).\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 39297.\nAnswer: 3, 13099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1685 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 6469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3065275?\nAnswer: 5, 122611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 70, 143, 208, 259, 290, 295, 268, 203?\n\"Answer: -y**3 + 2*y**2 + 74*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-328 - 366 + 665 - 54*n)*(0 + 1 - 2).\nAnswer: 54*n + 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, 1\/5, -3, 10, 1\/84 in descending order.\nAnswer: 10, 0.4, 1\/5, 1\/84, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30 divided by -478457.\nAnswer: -30\/478457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 1 + 3 = 0. Suppose 0 = -2*b + 5*b. Suppose b = -n*x + x. Solve 4*q - 14 = 3*l, -3*q = -x*l - 2*l - 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -39120, -313156, -1056976, -2505474, -4893544, -8456080, -13427976, -20044126?\nAnswer: -28539424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49 = 3*h - 166. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 333131 - 433013?\nAnswer: -44332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 9 = -7. Solve 3*d + 1 = -m for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 2081, 2066, 2017, 1928, 1793, 1606?\n\"Answer: -d**3 - 11*d**2 + 25*d + 2068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2.63069 and 0.14.\nAnswer: -0.3682966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -937662*p + 12*p**2 + 937662*p.\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 371 - 938 = 189*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k - 7. Let b be n(-7). Let v(c) = -c + 9. List the prime factors of v(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -4 - 13\/((-39)\/222). What is the greatest common divisor of 42 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 4*y**2 + 3*y + 8. What is the units digit of j(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*l = -0*l + 24 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2641*p + 41824 - 69933 = 7902 + 98680 for p.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -9*p**3 - p**2 + 5*p - 5. Let a(r) be the second derivative of 7\/6*r**3 - 1\/6*r**4 - 7\/2*r**2 - 13\/20*r**5 + 2 + 34*r. Give 5*a(f) - 7*h(f).\nAnswer: -2*f**3 - 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2*u + 0)*(-u + u + u) - 2*u**2 + 3*u**2 + 0*u**2 - 233*u + 6*u - 233*u - 31796*u**2 + 460*u.\nAnswer: -31797*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 1 - -1 - (1 + 15 + -17 + (71 - 80))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iiiiiiiiiibb. What is prob of picking 2 b?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 57 - 57. Let n be h\/(2 + (-5 - 0)). Suppose -9*i + n*i + 1638 = 0. Is 13 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = -s + 4*s - 15, 0 = -4*v - 4*s + 28. Suppose q - 5*k - 3 = 0, v*q - 6*q = k + 7. Suppose 5*p = -0*p - 5. What is the closest to p in 0.4, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -334997.1 to the nearest one thousand.\nAnswer: -335000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-134)\/(-1005)*(-5)\/(-3).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 40088?\nAnswer: 2, 5011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the third derivative of 1\/336*n**8 + 23\/60*n**6 - 3\/2*n**5 + 27\/8*n**4 + 336*n**2 - 9\/2*n**3 + 0 - 11\/210*n**7 + 0*n. Factor y(a).\nAnswer: (a - 3)**3*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 29 - -9?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -a - 5*f - 21, 35 = -5*a + 5*f. Let i = a - 19. Let t be 4\/(-14) + (-64)\/i. Solve -b + 9 = 3*n, t*n = 6*n + 2*b - 14 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 0 - -12211210121201?\nAnswer: 12211210121201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Factor -2*x**2\/3 + 1086*x + 106304\/3.\nAnswer: -2*(x - 1661)*(x + 32)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 41*b**5 - 219*b**2 + 219*b**2 - 3*b**5 - b**3 + b**3 + (b**2 - b**2 - 2*b**3)*(-2*b**2 + 4*b**2 - b**2).\nAnswer: 36*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (6\/30)\/(296\/10). Let a = -377\/9916 - u. Let g = a - -115\/1072. What is the common denominator of 19\/16 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7134)\/11890*2*5\/(-192).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.596 - -0.896. Let m be 2\/4*(2 + -4). Let s be (m\/8)\/((-3)\/6). Sort 0.04, v, s in ascending order.\nAnswer: 0.04, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 12) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.169208mm in meters?\nAnswer: 0.002169208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -188, 1\/6, 0.3, -0.09, 2, -1\/4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 51\/(-68) + 27\/4. Solve n*u = 11*u + 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 99968*y**3 + 100032*y**3 - 300070*y**3 + 99996*y**3.\nAnswer: -74*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 t and 1 a when four letters picked without replacement from {a: 2, t: 7, z: 2}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 18 - 10. Let k(h) = 4*h + 8. Let j be k(6). What is the highest common divisor of j and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -94959*h + 95062*h + 3605 for h.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1224 - 138*r + 198*r - 65*r)*(-3*r + 2*r + 2*r) as i + f*r + p*r**2 and give f.\nAnswer: -1224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -241 + 348. Suppose 56*t = 57*t - b. Is t >= 105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 1068690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + (1 - 2) + 8 + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 18*s**2 + 4*s - 3. List the prime factors of x(2).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3033.\nAnswer: 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4\/6*372\/8. Let r(h) be the first derivative of -31*h + u*h - 1 + 2*h**3. Let t(a) = -2*a**2. Determine r(t(j)).\nAnswer: 24*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -29 - -58. Let s(f) = 18*f**2 - 2*f + 5. Let p be s(-3). Suppose 59 + p = 8*z. What is the greatest common divisor of z and c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 17 + 8 = -5*n, -15 = -5*n + 4*o. Let v = -12 - -13. Let m be (4 - (8 - n)) + v. Which is the third smallest value?  (a) 2  (b) 3\/5  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -2*x**2 + 11*x + 8. Let o be m(6). Put -10, -3, -1, o in descending order.\nAnswer: o, -1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-n + 3 - 3)*(n**2 - 1095*n + 551*n - 14 + 547*n) as m*n**3 + y*n**2 + i*n + u and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -95\/1034 and -77\/28409714?\nAnswer: 312506854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2113 + 2049 = -8*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4231632 or -4231633?\nAnswer: -4231633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/((z*z**(-1\/8)\/z)\/z)*z*z*z**(1\/2))**(-1\/3))**(14\/11) assuming z is positive.\nAnswer: z**(-259\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-2\/17)\/p)**32*p**(-2\/17)\/(p*p**(-20)) assuming p is positive.\nAnswer: p**(-287\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u - 35 = -25*a + 30*a, -u = 5*a + 19 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2 + 39?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 344312 + 1?\nAnswer: 344313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -92, -85, -78, -71, -64?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -2\/17, 13\/6, -1, 182?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 21 + 525?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1  (b) 1  (c) -2390494\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 4*f - 10 = 0, 5*h + 0 - 12 = -f. Let g be (h + 2)*1\/2. Factor v**4 + g*v**2 + v**3 - 3*v**2 + v - 2*v.\nAnswer: v*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 54353369 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x**3 - 14*x**2 - 32*x + 798. Is s(19) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-2 - 0) + 0)*-2. Suppose -5*u + 54 = x*k, 0*u + 3*u + 4*k - 26 = 0. What is the remainder when u is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 20076542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -126?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 921, 2872, 5359, 8382?\n\"Answer: 268*t**2 + 1147*t - 494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -23, -8219, 0 in descending order.\nAnswer: 5, 0, -23, -8219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*l**5 - 1308*l**4 + 130128*l**3 - 3645424*l**2 + 12582336*l = 0. Calculate l.\nAnswer: 0, 4, 39, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.07 in -2\/5, -3\/5, -65.116?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -35 - 7 - -23 - (9 + 1).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 17184.78 millennia in centuries?\nAnswer: 171847.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-84)\/63*((-6)\/5)\/((-36)\/(-45)). Solve -2*l - 4*g + 22 = 0, l - a*l + 1 = -3*g for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.7 and -401.59?\nAnswer: 402.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -2*l**3 - l**2 + 4*l - 3. Is m(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 141028?\nAnswer: 2, 35257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*b**3*o**2*p**2 + 3*b**3*o**2 - 2*b**3*o - 43*b**3*p**4 + 3*b**2*o*p - 2*b*o**2*p - 2*o**2 wrt p?\nAnswer: -6*b**3*o**2 - 516*b**3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 45998?\nAnswer: 2, 109, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*s = -11*s. Which is smaller: 1\/4 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 23 = -5*b, 2*x - 6 = 2*b - 20. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*i - 2*i + 23 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -76872765 by -176719.\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 48 and 216?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-5)\/15 - (-28)\/75. Let c(p) be the first derivative of 1\/5*p - 2 + 1\/10*p**4 - x*p**5 + 0*p**3 - 1\/5*p**2. Factor c(l).\nAnswer: -(l - 1)**3*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1923, -850, 2057, 7716, 17045?\nAnswer: 30962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33*q**2 + 35*q**2 - 7*q**2.\nAnswer: 61*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 12*(1 - 24\/16). Let u be (0 + 2)\/(4\/(-6)). Let s be (20\/u)\/(2 - (-16)\/d). Calculate the greatest common factor of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 155 and 341?\nAnswer: 1705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 3*n + 3. Determine t(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = w**3 + 3*w**2 + 2*w + 3. Let l(s) = -s - 10. Let p be l(-8). Let t be x(p). Solve -4*n - 1 = t*j - 5, 4*j + 1 = n for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(6) - 2*sqrt(6)*-1)\/(4*sqrt(18)) - ((-4*sqrt(18)\/sqrt(2))\/(sqrt(12)*-2 + sqrt(3)) + 4).\nAnswer: -4 - 13*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**2 - 12199182*q - 37205010367281.\nAnswer: -(q + 6099591)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -0.052678*-1.2\nAnswer: 0.0632136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 17\/2 of a micrometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3)\/(-6) - 204\/8. Let s = p - -26. List the prime factors of s*3 - (13 + -41).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 14 - 31. Let y = w + 22. Let g = 9 + -3. What is the smallest common multiple of g and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -264*d**3 - 20*d - 20. Calculate the least common multiple of 396 and z(-1).\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 240591161*m**5 + 39319338*m**2 + m + 2 wrt m?\nAnswer: 14435469660*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + i = 9391, 3*y + 5*i - 14266 = -197. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 427, -3, 2, 14, 5, 0, -48 in increasing order.\nAnswer: -48, -3, 0, 2, 5, 14, 427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 41 + -43. Let f be (7 - 4) + 3 + w. Find the second derivative of 4*m - 22*m**4 + 14*m**4 + 16*m**f wrt m.\nAnswer: 96*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -74 + 112. Suppose -5*n - 4*k + 108 = 0, n - v + 10 = -4*k. What is the least common multiple of n and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/15 or 1749.6687?\nAnswer: 1749.6687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*(sqrt(12) - sqrt(48)\/(1*sqrt(4))))\/(6*(sqrt(384) - (sqrt(384) + sqrt(384)*3)) - sqrt(384)))**2*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*s**4*x - 3*s**4 + 137*s**3*x - 68*s**3 - 3*s**2*x + 3*s**2 + 58*x wrt s?\nAnswer: -48*s*x - 72*s + 822*x - 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) be the first derivative of -11*d**2\/2 + 28737. Let j(n) be the first derivative of 4*n**2 + 2. What is j(k(r))?\nAnswer: -88*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -6*h**2 - 1. Let k(j) = -j**3 - 6*j**2 - 1. Determine 4*k(z) - 3*y(z).\nAnswer: -4*z**3 - 6*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -33 - -166\/5. Let a(q) be the first derivative of -1 + 1\/20*q**4 + 0*q - n*q**2 - 1\/15*q**3. Let a(t) = 0. Calculate t.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 15490453?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 14, 1\/19, -2.98, 46, 5 in descending order.\nAnswer: 46, 14, 5, 1\/19, -2.98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 48351990 to the power of 1\/2, to the nearest integer?\nAnswer: 6954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vl when two letters picked without replacement from vvvvvrrrrvl?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4 + (-1)\/((-3)\/(10 + -4)). Sort 0, 3, g in increasing order.\nAnswer: 0, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 minutes before 6:30 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m + 0 + 3 = 5*j, 5*m + 2*j = 26 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -204 + 204.3. Which is the third biggest value?  (a) 58  (b) -3\/4  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 l when two letters picked without replacement from yllyytlylllltyl.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of -35880 and -0.16.\nAnswer: 5740.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -15025 divided by 3005?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2138 + 1347 + 1173 + 121*a + 3*a**2 wrt a.\nAnswer: 6*a + 121","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/((3 - -2)*96\/180). What is the closest to k in 2\/13, 2\/11, -16?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-29)\/145 + (-41)\/(-5). Let y be 4\/g + ((-95)\/(-10) - 5). Solve 6 = y*a - 3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -764 + 199 = -5*i. Let h be 2\/((18\/(-108))\/((-13)\/2)). Let u = h + i. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccttcct. Give prob of picking 2 c.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) be the third derivative of 0 + 1\/6*h**3 + 0*h - 6*h**2 - 1\/24*h**4. What is x(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 171619 is divided by 269?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -280, -0.2, 5\/216, -0.1 in increasing order.\nAnswer: -280, -0.2, -0.1, 5\/216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**2 + r + 4. Let m be y(3). Let d = m + 2. Let p = -1 + 1.3. Which is the third biggest value?  (a) -1\/3  (b) p  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -6*m - 8*m - 4 + m**2 + 12*m. Let o be q(4). Suppose 172 = o*n + 4*w, 3*w + 190 = 4*n - 2*w. Solve 10 + 5 = 3*z, 5*z - n = 4*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 74884992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -2779, 5 in ascending order.\nAnswer: -2779, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w**3 - 2*w**2 + 2*w - 2. Let t = -28 - -33. Let n(u) = -u - 5*u + u**2 + 1 + t*u + 0*u. Suppose 6 - 16 = -5*h. What is h*n(g) + k(g)?\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 + (-23)\/((-207)\/(-90))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -2 - (3\/(-5) + (-288)\/(-80)). Which is the closest to 2\/9?  (a) g  (b) -2  (c) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20\/(-150)*(9\/(-18))\/(8\/(-336))\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60*m + 152*m - 1478 = 110 + 3748 for m.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 101 = 4*l + 33. Let u = 1 - -3. Suppose 0 = -2*t + 6*t - u*b + 12, 20 = 4*b. Solve 3*g = -4*m + l, -g - 4*m + 5 = -t*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*f = 2*f + 18. Let i be 30 + f + (-3)\/1. What is the greatest common factor of 58 and i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b = -7*m + 25, 3*b - 30 = -2*m - 19 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 67581 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 3*u - 5*i, 3*u - 2*u = -5*i + 11. Suppose -u = 5*o + j - 56, 5*o + 3*j - 50 = 0. Let t = 16 - o. Calculate the smallest common multiple of t and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/11, -12\/71, -3076, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the first derivative of -3\/2*b**2 - 5\/3*b**3 + 3 + 4*b - 1\/4*b**4. Is l(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8*1\/(60\/(-25)))\/((-25)\/30).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*m + 2*m - 3*m + m.\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 44225445 (base 6) in base 7?\nAnswer: 14161130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -383, -802, -1221?\nAnswer: -1640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 88\/12975495 and -5\/2808.\nAnswer: 934235640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -41510514 (base 7) to base 3\nAnswer: -20120202001120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*b - 5*c + 8, 8*b = 4*b + 5*c + 16. Calculate the greatest common divisor of b and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = d - 6*d + 1355. Let o = d + -144. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 minutes before 10:15 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*d + 22 = 2*k, 1018*d - 1019*d + 10 = -2*k for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 198 and 2541.\nAnswer: 15246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve x + 9*r - 14*r + 22 = 0, 0 = -2*x - 4*r + 26 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -9*h**4 + 22*h**3 + 83*h**2 + 27*h. Let t(j) = 17*j**4 - 44*j**3 - 165*j**2 - 53*j. Let u(w) = 5*b(w) + 3*t(w). Factor u(q).\nAnswer: 2*q*(q - 6)*(q + 2)*(3*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*k**5 - k**5 + 0*k**5 + (k**2 + k**4 - k**2)*(-5*k + 2*k + 6*k).\nAnswer: 5*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -281bc (base 14) in base 6?\nAnswer: -2043002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that -2*i**2\/3 + 38*i\/3 = 0.\nAnswer: 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -63 divided by 686?\nAnswer: -9\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 61*a + 16 = 4*t + 59*a, -3*t + 8*a = 14 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 106, -1026, -4524, -11570, -23346, -41034, -65816?\n\"Answer: -197*l**3 - l**2 + 250*l + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0.3, -0.54, -4, 1\/4, -14?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**2\/11 - 646*t\/11 + 10592\/11.\nAnswer: -(t - 16)*(t + 662)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*y - 22*l + 20*l - 4, -2*y = -5*l + 11 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1*(3 - 2) - -2. Suppose p*o = 2*o + 4. Suppose -o*t + 15 = -3*t. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9462384?\nAnswer: 2, 3, 23, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (6 - 6) + (-10 - 0) + 4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*x**5 + 4*x**4 - 2725*x**3 - 14973*x - 99.\nAnswer: 40*x**3 + 48*x**2 - 16350*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l**3 + 2*l**2 - 6*l - 5. Let z be i(-3). Suppose -297 - 127 = -z*w. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3873, 7749, 11625?\nAnswer: 15501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -4*y + 2. Determine z(7).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by 338868\nAnswer: 5\/338868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -116 - -126. Suppose 6*n = s*n - 408. What is the remainder when n is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 10088468 and 13?\nAnswer: 10088468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -862 - -862.000403. Round p to 5 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-19)\/5016*268 + 10\/12.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/63 or 0.085?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 3*p = -20, 3*r + 5 = 2*p + 25. Let g = 3827 - -2101. Suppose -5*x - 3*a + 3997 = -3403, -r*x + g = 4*a. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -80 + 23. Let n be (-2 - j\/27)\/((-12)\/(-8)). Which is the closest to n?  (a) 0  (b) -3  (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/(-117)*-169*-1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 5*u**2 + 12*u + 4. Let l(k) = -4*k**2 - 9*k - 3. Let p(y) = -4*l(y) - 3*x(y). Let c(q) = 13*q - 3 + 8*q - 4*q. Give p(c(j)).\nAnswer: 289*j**2 - 102*j + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 12033533.5 rounded to the nearest ten thousand?\nAnswer: 12030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-822)\/51 - (-18 + 2). What is the third biggest value in f, -3, 3, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1 - -67ba?\nAnswer: 67bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/14)\/(3 + 123\/(-42)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4)\/(((-40)\/35)\/4). Suppose -2*g + 2 = -f, -2*f + 3*g - d = -6*f. What is the remainder when 11 is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*m + 35 = -56 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/4 of a centimeter in micrometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -50?  (a) -1  (b) -10\/7  (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 17 + -14. Is 1 - (-2)\/u*699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**3 - 8*t**2 - 3*t - 19. Let o be b(-8). Suppose -i - 2*i = -2*a - 3, 5*i - o = -2*a. Suppose a = 3*c - 35 - 25. Solve -5 = 5*f + c for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2\/11689 + 1133749\/490938. Let k = 3959 + -55485\/14. Find the common denominator of k and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*v**3 + 44828*v**2 - 85197892*v + 85153060 = 0. What is v?\nAnswer: -12863, 1, 1655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) be the second derivative of -7\/3*c**3 + 6*c + 0 + 0*c**2. Let j(k) = -k. Give j(t(s)).\nAnswer: 14*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 697 minutes after 4:28 AM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -661, -1, 15, 0, -17 in increasing order.\nAnswer: -661, -17, -1, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*r - r - 3*r)*(0*r**2 - 2*r**2 - 3*r**2).\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 5*o = -4, -o = 2*f - 25 + 9. What is the lowest common multiple of 7 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 12 + 94. Let d = j - 107. Put d, 1, 0.1, 5 in ascending order.\nAnswer: d, 0.1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -46\/5 and -8\/2585725.\nAnswer: 2585725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.06, 0.5, -2\/9, 1\/11, -4, -57?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.7 and -1.4.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c + c - 5*o - 8, -o + 20 = 5*c. Suppose 1871 = q - 128*n + 124*n, 7484 = c*q + n. List the prime factors of q.\nAnswer: 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) -9  (b) 0.19  (c) -26\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -243 = -2*k - 47. Suppose -b = -2*m - 119, -2*b - k = 2*m - 324. What is the greatest common divisor of 46 and b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m*m*m*m**3*m*m**(-11) assuming m is positive.\nAnswer: m**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4064\/40215 + -720\/383. Let r = y - -34\/15. Let 6\/7 - r*c**3 + 10\/7*c**2 - 2*c = 0. Calculate c.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6 - 4. Suppose l*a = 5*a - 33. Let i(f) = -37*f - 78. Let o be i(-3). What is the highest common divisor of a and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(45))**2 + -1 + -3.\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve p - 9 = 5*a - 3*p, -3*a = -5*p + 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 0.01*-5\nAnswer: -0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 9*w + 167. Let l be z(-15). Suppose -29*i + l*i + 47 = 2*k, 4*k - 5*i - 89 = 0. Calculate the remainder when 109 is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -5*t. Let s(y) be the third derivative of 0*y**4 + 0*y**3 + 18*y**2 + 0 - 13\/30*y**5 + 4*y. Calculate s(v(w)).\nAnswer: -650*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t**2 - 19*t - 79. Let l be f(-10). Solve 0 = 5*w + l - 16 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2677376502 to the nearest integer?\nAnswer: 1389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2448) - (-4*sqrt(2448)*-2 - sqrt(2448)))**2 + 5*((sqrt(2448) - (sqrt(2448) + sqrt(2448) + 0 - sqrt(2448))) + sqrt(2448)).\nAnswer: 60*sqrt(17) + 88128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 42252*i**5 - 42124*i**5 + 20*i - 5*i + (i**5 - i**5 + 2*i**5)*(1 + 1 + 0).\nAnswer: 132*i**5 + 15*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 5*n - 4*x, 2*x + 3 = 3*n - 4. Let t = n - 5. Suppose 17 = 2*d - d - 3*y, 2*d - 4*y - 36 = t. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -51 divided by -5.\nAnswer: 51\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.37 + -54.37. Let x = 54.3 + c. Put 4, x, -4 in descending order.\nAnswer: 4, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -142773 by 47591.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 616 minutes after 10:50 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n, 1 j, and 1 p when four letters picked without replacement from nmjnpjpjjpnjjmn?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 17 + -8 + -4 + (2 - (-2 + 0)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*s - 14 + 44 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-32)\/(-4) - 19\/(-209)*-121. Let r be ((-1)\/5)\/(6\/15). Which is the biggest value?  (a) s  (b) r  (c) -0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*(l**5\/l*l*l*l)\/l)\/(l\/(l**(-6)\/l))*(l*l*l\/(l*l**2*l)*l*l)**(-3\/7))\/(l*l*l**(-2\/33)*l*l**(-9))**1 assuming l is positive.\nAnswer: l**(1070\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the first derivative of -n**7\/350 + 7*n**5\/100 - 3*n**4\/20 + 39*n**2\/2 + 91. Let v(w) be the second derivative of r(w). Factor v(h).\nAnswer: -3*h*(h - 2)*(h - 1)*(h + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*u + 196 = 11*u + 2*u. Calculate the smallest common multiple of u and 168.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 11.81 - -0.19. Let x = 15045 - 15046. Put x, -0.2, n, 4 in descending order.\nAnswer: n, 4, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s + 2*s - 3*s)*(-s**2 - 4*s**3 + s**2) + (-22*s**2 + 22*s**2 - 20*s**3)*(3*s - s + 0*s) + s**4 - 2*s**4 + 3*s**4.\nAnswer: -42*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = -3*w - 26, 2*z + 7 = -4*w + 9. Let b = 14 - z. Solve 0 = 4*h - 5*r + 3*r - 16, 0 = -b*h - 4*r + 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 5*z = -29, c - 2*z - 9 = -0*z. Suppose -493 = -21*s - 94. Calculate the lowest common multiple of ((-2)\/(-1))\/(c\/(-4)) and s.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 481 - -2328.\nAnswer: 2809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3 + -36. Let d = 33.057 + j. Let h = d - 0.06. What is h rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -30263 minus 965?\nAnswer: -31228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -1177*v**2 - 9446*v**2 - 40854*v + 40853*v in the form l*v + j*v**2 + d and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 43\/8884 and -45\/160828.\nAnswer: 357198988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4 - 10. Let z(p) = 42*p**3 + 3*p**2 - 5*p + 1. Let b(q) = q**3 - q - 1. Let x(j) = -3*b(j) + z(j). Let y be x(h). What is y rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 185*d + 30. Suppose -15 = -10*r + 35. Is v(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q - 0*q - 20. Let u(r) = -2 + q*r - 27*r + 16*r. Let s be u(-12). Solve s + 15 = 5*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -123*l**4 - l**3 - l**2 + l. Let t(m) = -165*m**4 - 3*m**3 - 2*m**2 + m - 5767. Let s(h) = 2*d(h) - t(h). What is the derivative of s(o) wrt o?\nAnswer: -324*o**3 + 3*o**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 12529*y - 651243. Calculate k(52).\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3 and 7.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-80)\/(-3) + (-3)\/(-9). Let r = -78 - -119. Let a = r - f. Does 7 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 10 and (324\/90)\/((-6)\/(-680)).\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 381*c - 3340. Let g(p) = -58*p + 557. Determine 2*f(x) + 13*g(x).\nAnswer: 8*x + 561","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -53, -42, -31, -20?\n\"Answer: 11*g - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pno when three letters picked without replacement from goopgnonnrpgr.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 175 and 37555?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -24232, -48454, -72704, -96982, -121288, -145622, -169984?\n\"Answer: -14*g**2 - 24180*g - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64*k - 83*k + 108780 = 0. Calculate the greatest common factor of k and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 4, m: 3, x: 4}. What is prob of sequence xj?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 15262 - -15.9?\nAnswer: 15277.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 64 + -61. Suppose -33 = 3*q - z. Let h(n) be the third derivative of n**4\/24 + 4*n**3\/3 - 2*n**2. Calculate h(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.9*0.48.\nAnswer: -0.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*z**4 - 3258*z**3 - 85399*z**2 wrt z.\nAnswer: 120*z - 19548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 2270689 to the nearest 10000.\nAnswer: 2270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 280109 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6472 = -164*f - 175*f - 986 for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = b**2 - 2*b - 2. Let l be o(-2). Let d(f) = 3*f - 18. Let y be d(l). Let u(p) = -p**3 - p - 2. Determine u(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(325) - (sqrt(325) + 1 + (sqrt(325) - (sqrt(325)*3 - sqrt(325)) - sqrt(325))))**2 - ((sqrt(325)*3 + 0)**2 - sqrt(325)))*5.\nAnswer: -8120 - 75*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -166008, 4, -1, -2.\nAnswer: -166008, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2821530 divided by 470255.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0 - -2. Let x(f) = -3*f + f**2 + 4 - 5*f**2 + 3*f**c. Determine x(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 530 - 535. Let s be (3 - 1) + 2 + -8. Put 3, v, 0, s in ascending order.\nAnswer: v, s, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -d0 (base 14) in base 2?\nAnswer: -10110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-34)\/6*(-2)\/(-4)*9)\/((-843)\/(-1686))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0  (b) 37  (c) 13\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 99*q - 779. Determine v(13).\nAnswer: 508","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/30 - (7 - (381\/(-3))\/(135\/81))?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 158110 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -602, -1385, -2366, -3551, -4946, -6557, -8390, -10451?\nAnswer: -12746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f and 2 z when four letters picked without replacement from fzfxfzxxfx?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**3 - 4*p**2 + 20. What is the remainder when 87 is divided by o(5)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - i + 38 = 36, 0 = -3*w + 12*i - 24. Solve 4\/7*q**2 + 4\/7*q**3 + 0*q + w + 1\/7*q**4 = 0 for q.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(55) - (sqrt(55) + (sqrt(220)*-4 - sqrt(220))\/sqrt(4)))\/(-3*(sqrt(11) + sqrt(77)\/sqrt(7))).\nAnswer: -5*sqrt(5)\/6 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (14\/12 - 2)*(-297)\/(-165).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c - 4*c = -4. Let g = c - -5. Solve l = -l - g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4941406 and 2402702?\nAnswer: 261894518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0  (b) -23  (c) -19  (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.191 + -0.3649077.\nAnswer: -0.5559077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 654*p**5 - p**4 + 494*p**3 + 419880*p wrt p?\nAnswer: 13080*p**3 - 12*p**2 + 2964*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -589*i + 1171*i - 581*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 7878838 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**2 - 5*j + 4. Let o be b(-6). Suppose 2*x - 3*x - 4 = 0. Let c = o - x. What is the greatest common divisor of c and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = -0*g - 3*g - 34, 0 = -3*g - 5*f + 2. Let l(u) = -11*u**2 - 9*u. Let m(o) = -4*o**2 - 3*o. Determine g*l(w) + 17*m(w).\nAnswer: -2*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**2 - 12*v - 8. Let n be w(-11). Let r = -6.7 - -7. Let a = -0.7 + r. Sort a, n, 4 in ascending order.\nAnswer: a, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**11)**(-1\/39) assuming x is positive.\nAnswer: x**(-11\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/37253 at least -632?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 0.3715371 nanograms?\nAnswer: 0.0000000003715371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 59040 and 213280.\nAnswer: 78700320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -26 - -28. Let 9*q + 0*q**3 + 234*q**t - 6 - 234*q**2 - 3*q**3 = 0. Calculate q.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**13*g*(g**24\/g)\/g)**(8\/11) assuming g is positive.\nAnswer: g**(288\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2d12c + 2646?\nAnswer: 31774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 318*n + 322. Let d be q(14). Suppose 13*k - d = 5457. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 646 is divided by 212.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3151319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -4721892 minus -8369.632?\nAnswer: -4713522.368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aadaaaaaaadaauu. What is prob of sequence ua?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -7 + 4b9bc0?\nAnswer: 4b9bb7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 55.49 - 51.5. Let t = -0.01 - a. What is the biggest value in t, 1\/2, 0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 4 + 4)*(5*d - 5*d + 4*d + (-2 + 1 + 0)*(3*d - 5*d + 3*d)) to o*d + u and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/31, -0.4, 0.3, -72, -1 in descending order.\nAnswer: 0.3, -2\/31, -0.4, -1, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2310017096 to the nearest integer?\nAnswer: 1322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1 - cd65?\nAnswer: -cd64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -26 - -31. Let q be 2\/70*-11 - (-2637)\/4395. Put l, -6, q in ascending order.\nAnswer: -6, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -j*x*z**3 - 4*j*x*z - j*x + 6*j - 302*z**3 - 1 wrt z?\nAnswer: -6*j*x*z - 1812*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 4\/9, -2, 2\/5, 3\/5, -2\/127, -4, -1?\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 20, -10, -74, -184, -352?\nAnswer: -590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 10*g**2 + 2*g. What is the remainder when 72 is divided by b(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 160 + 1 - 959 = -19*t for t.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-21 - 26 - 6*a + 51)*(2*a - 4*a + 0*a).\nAnswer: 12*a**2 - 8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(2\/13))**(8\/3) assuming z is positive.\nAnswer: z**(16\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4, -6, -30, -74, -144, -246?\nAnswer: -386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 0 + 1)*(-1 + 1 + 4*b) + (1 + 2 + 2 + (-3 + 2 + 3)*(2 - 1 + 1))*(b + 3 - 3) to x + o*b and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes after 11:41 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 77 a factor of 20020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-20)\/6*(-14028)\/35. Let v = x - 263. What is the hundreds digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the second derivative of g**4\/12 + 174*g**3 - g + 391. Let q(h) = -3*h. What is q(j(c))?\nAnswer: -3*c**2 - 3132*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 4, s: 3}. Give prob of picking 1 s and 3 c.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**3 - 6*d**2 - 7*d - 1. Let u be z(7). Let v be 0 + u + -1 - 3. Calculate the common denominator of 81\/4 and 36\/v*(-160)\/(-624).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -1.609, 30 in decreasing order.\nAnswer: 30, -1.609, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 145 + -465. Let o be (-118 + 129)\/(1\/(-29)). Which is smaller: o or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 - -3. Let v be (-2)\/8 + u\/2. Let x = -0.16 - -0.36. What is the second smallest value in -0.3, v, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-7)\/1*(-8)\/14. Suppose 188 = 4*q - l. Is q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven sixths of a century in months?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1, 2, 35, -5 in decreasing order.\nAnswer: 35, 3, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-66)\/(-132)*(-8)\/1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rujlvlxu. Give prob of sequence vr.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**3 + 9*o**2 + 7*o - 7. Let x = 24 - 22. Let f(q) = 14*q**2 - q**2 + 10 - q**3 + 8 - x*q. Let z be f(13). What is n(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1273501*r**2 + 1273760*r**2 - 2547090*r**2.\nAnswer: 171*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -537929826.3 rounded to the nearest 100000?\nAnswer: -537900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -228266 or -228270?\nAnswer: -228270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -z**3 + 99*z**2 - 725*z - 156. What is r(91)?\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-3 - (-1 + 0)*2)*-83 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*d - 5*d - 47 - 47 + 94.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1540731, -1540729, -1540727?\n\"Answer: 2*d - 1540733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*q**2 + q**2 + 2*q**2)*(-790051*q + 1398*q**2 + 790051*q).\nAnswer: 1398*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -84*d**2 + 58. Let g(u) = 125*u**2 - 87. Let i(f) = -8*b(f) - 5*g(f). Differentiate i(k) wrt k.\nAnswer: 94*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -123, -370, -829, -1536, -2527, -3838?\n\"Answer: -6*p**3 - 70*p**2 + 5*p - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 342\/(-36) + (-1 - -8) - -1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = r + 2. Let c be (-1)\/(r\/(-2)) + 3. Let o = c - -3. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5, -29, -137, -355, -719?\nAnswer: -1265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -911.6 to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -1, 0, -96 in ascending order.\nAnswer: -96, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -34 + 1 - -5 - (18 - 15) - -11.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = -3*z - 0*z + 2187, 5*z = -5*x + 3655. Is 150 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5 - 2761\/(-550))*345\/(-46).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r - 1. Let k be o(-3). Let v = -5472 + 5479. Solve 2*i + 6*h = v*h, 2*i - k*h = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-29391)\/450662*(1 + (-14)\/(-6))?\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 72685, 581711, 1963355, 4653925, 9089729, 15707075, 24942271?\n\"Answer: 72718*h**3 + h**2 - 3*h - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, -4, 2, 6478 in descending order.\nAnswer: 6478, 9, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(168)\/sqrt(108))\/(sqrt(88)\/(sqrt(66)\/sqrt(6))) + 0)**2.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = y**3 - 535*y**2 - 4895*y + 15. Give x(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1681 - -1699. Calculate the greatest common divisor of 1620 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -2*m + 47. Let s be h(22). Let o be 6\/(-10) - 5544\/(-40). Is o\/8*40\/s a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1451 - 529 = -11*y. What is the smallest common multiple of 50 and y?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 5\/2 - (-2)\/(-4). Suppose p = -0*p + 3*w - 8, 3*p = -w - 4. Let o be p - 5\/(2\/(-2)). Solve -n + m*n = -o for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.8594727 rounded to 2 decimal places?\nAnswer: -0.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 76 + -377\/5. Let k = 46 - -49. Let q = -95 + k. Which is the closest to q?  (a) t  (b) -0.04  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (442964\/(-410))\/73*(-10)\/4?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n\/n**(2\/9))\/((n*n**(3\/4))\/n))\/(n\/(n*(n**1\/n)\/n))**(1\/6))\/((n*n*n\/(n\/(n**5*n)))\/n**(2\/5))**(3\/7) assuming n is positive.\nAnswer: n**(-4279\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 39104 or 78205\/2?\nAnswer: 39104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 5 + -2 + (-2 - -2). Let q(s) be the first derivative of s**3\/6 - 3*s**2 - 17*s - 12. Let w(h) be the first derivative of q(h). What is w(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 5 = 0, 4*k + 4*w + 0*w = 208. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 2  (b) -0.2  (c) -3  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 13 - 9. Let d = -0.58 - -0.48. Put d, w, 5\/7 in ascending order.\nAnswer: d, 5\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -161*v + 165*v - 59595 = -3*f, -v + 19864 = f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-123)\/(-21) + -4 + 1 and 13\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40804 is divided by 20365?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 66 (base 7) to base 3.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -13*s - 14*s + 11*s**2 + 14 - s**3 - 3*s + 18*s. Let k be w(10). Which is the biggest value?  (a) k  (b) 8  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 16, -2\/17, 3.9, 3, 28 in decreasing order.\nAnswer: 28, 16, 3.9, 3, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3322.\nAnswer: 2, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 763447565 to the nearest integer?\nAnswer: 914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 888271.78 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26987 is divided by 26664?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b + 5*b - 6*b)*(-4*b**2 + 0*b**2 - 1619*b**4 + 1585*b**4).\nAnswer: 68*b**5 + 8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 13033892 divided by -3258473\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in three eighths of a week?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2023*u + 21518*u - 305*u to q*u + h and give q.\nAnswer: 19190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 138, -3 in decreasing order.\nAnswer: 138, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 2, -4, 32, -3, -260, -8 in increasing order.\nAnswer: -260, -8, -4, -3, -2, 2, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -3*w**3 + 3. Let h be 4\/6 + 48\/(-18). Let p(x) = 1 - x**3 - 2*x + 2*x. Determine h*f(m) + 5*p(m).\nAnswer: m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6 and 162.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 343*p = -35*p + 85*p - 8204 for p.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5333 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in 9, 3778.197, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 70872 is divided by 22598.\nAnswer: 3078","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 4 = -5*p, 5*a + 25 = -p - 4*p. Let i be p\/36*6\/(-4). Let k(x) = -x**3 + 6*x**2 - x + 7. Let v be k(6). Which is greater: i or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that -2*p**2\/5 + 6*p + 68\/5 = 0.\nAnswer: -2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 26, 16, 16, 38, 94, 196, 356, 586?\nAnswer: 898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 555 = -4*b, 4*w - 2300 = 7*b - 3*b. Suppose 18882 = w*l - 565*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/10 - 2647062\/(-2320). Let b = h + -1138. Which is greater: 4 or b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1 + 5. Let u(z) = z**2 - z - 5. Let d be u(0). Let j be (8\/d)\/((-4)\/110). Calculate the greatest common divisor of j and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/15 of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, s: 2, h: 7, f: 4, u: 4}. What is prob of sequence fw?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(1*sqrt(1125) + 1 + -4))**2.\nAnswer: -3240*sqrt(5) + 40824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, a: 2, z: 2, k: 1, h: 1}. Give prob of picking 1 h and 1 k.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 + -1200?\nAnswer: -1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 167 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 3355602 divided by -142\nAnswer: -23631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2664 = 3*s + 1320. Let u be 16\/(-6) + 2 - s\/12. Suppose -3*l + 2*l + 44 = 0. Calculate the highest common factor of l and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-4 + sqrt(475) + sqrt(38)\/sqrt(2)*-2)**2.\nAnswer: -72*sqrt(19) + 561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*u**2 + 4*u**2 + 3 - 8*u**2 in the form x*u**2 + p*u + l and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from iqziiiiziiiziii?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + g = -51. Suppose 0 = 4*b + 3*s + 114, 0 = 8*b - 5*b + 3*s + 87. Let d = g - b. Does 2 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1235396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -3*f - 9. Let q be y(-5). Let g = q - 7. Let c be (g - -43)*2\/(-32). Is c at least as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 513.96774 + -514.44. What is z rounded to 2 decimal places?\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000868327756 rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k**2 - 10*k + 3. Determine q(7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - 4 - (-22 - -5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-50)\/(-6) + (-38)\/(-57). Suppose 0 = z*s + 2*s - 440. What is the greatest common divisor of s and 560?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -2*b**2. Let t be v(-1). Let d be 1 + t\/(-2 + 4). Let r = 5 - -9. Solve 2*s + 5*o = -2*s + 16, d = -2*s + 3*o - r for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7576*w**2 + 99*w**3 + 7576*w**2)*(-2 - 3 + 4)*(0*w - 3*w + w).\nAnswer: 198*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (84\/(-18))\/((-4)\/6). Suppose -3*m + c - 32 = -x, -2*m = x - 5. Which is bigger: 12 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*n + 5*v + 40, 14*v - 16*v = -4*n - 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -2*z**3 - 3*z**2 - 3. Let f be d(-3). Suppose 5*b = -2*a + 160, 0 = 4*b - 0*b - 4*a - 128. Let w = b - f. Solve 4*i - w = -5*m, -m + 1 = i - 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = h**3 - 11*h**2 - 6*h + 100. Let i be c(7). Sort -4, i, -0.5, -5 in ascending order.\nAnswer: i, -5, -4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2f75 (base 16) to base 11\nAnswer: 9145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 7.757556us?\nAnswer: 7757.556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -106772, -213509, -320244, -426977, -533708?\nAnswer: -640437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3*f**2 + 6*f*p**2 - f + 7*p**2 - 9*p wrt f?\nAnswer: -6*f + 6*p**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4 + -2. Let t = -6 - -6.3. Which is the biggest value?  (a) 4  (b) t  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 48577082.\nAnswer: 2, 1747, 13903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 36349 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k**2 - 9*k + 12. What is the smallest common multiple of 18 and o(-9)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 234, 221, 200, 171, 134, 89, 36?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/8 + (8 - ((-310)\/(-8) + -11))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 5  (b) 1\/4  (c) 279  (d) 4  (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v**2 + 17*v - 63. Let t be m(-21). Suppose 2*c - 10 = 0, 20*c - 25*c = -2*g - t. Suppose 4*r + 12 = 0, -3*q + 16 = -3*r + 4. Solve g + q = -d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 145 = u + 75. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -12 + (13 - -5) + -6. Solve v = -2*i + 785 - 787 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1299.2 + -1299. Is s at most as big as 111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 820?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = t - 2*c - 154, 2*t = -2*c + 116. Calculate the remainder when t is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1743503ml in litres?\nAnswer: 0.0001743503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in 1, 88, -1, 4\/29, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (19*c + 22*c - 5*c)*(3*c**2 + 2*c - 2*c) + (-c + 2*c**2 + c)*(4*c + c - 2*c + (-4*c + 4*c - c)*(1 + 2 - 2)) to u*c + s*c**2 + r + o*c**3 and give o.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/61438 and 99\/4726.\nAnswer: 61438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(42) - (sqrt(294)*-2)\/sqrt(7))\/(sqrt(216) + -3*sqrt(216)))**2 - (-4 + (sqrt(70)\/(1*sqrt(10)) - (-1 + 1 + sqrt(7)))).\nAnswer: 71\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = f**3 - 6*f**2 - 231*f - 494. Give a(-11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-48)\/(-32) - (-3363)\/(-2250). Let a = d + 73\/375. Sort 4, 1, 3, a.\nAnswer: a, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 14 = -5*l, 2*k = 2*l - 0*k + 8. Is 2*(l + 2) + 89 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) -5  (b) 0.2585  (c) -3  (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/2*4 + -55. Let v = -31 - y. Calculate the greatest common divisor of 65 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 12 = -3*i. Suppose -17 = 5*p - 5*h + 18, 0 = 4*p - i*h + 33. Let t = p - -8. Let c(f) = -f**3 - 4*f**2 + 3*f + 3. What is c(t)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 1039, 2082, 3125, 4168, 5211?\n\"Answer: 1043*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*h + 2*h - 3*h + (-3*h + 2*h - h)*(4 - 5 + 0) + h - 4*h + 2*h - 121 + 121 - 21*h.\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -75\/7 in -18, 0.06, 20?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nnnnnnnnnnnttnnnnnn.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w**(-3\/5))\/w*w*w**(-1\/6)*w*(w*w**(-7)*w)\/w*w**(-6))\/((w*w\/(w*(w\/(w*w\/(w**(-4)*w)))\/w))\/(w**(-1\/2)*w*w))**(-2\/17) assuming w is positive.\nAnswer: w**(-5221\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0*(-2)\/(-8)*2)\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i, 1 v, and 1 p when three letters picked without replacement from {z: 2, j: 3, v: 2, p: 3, i: 1, t: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 92333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g**3 + 223*g**2 + 2091*g + 21. Determine y(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve v = 4*o - 3, 0 = -2*o - 313*v + 311*v + 14 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 362183 and 5595.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -201, 2, 62, 3, 11, 4 in descending order.\nAnswer: 62, 11, 4, 3, 2, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 p and 1 v when four letters picked without replacement from pvdppvvvppp?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 5*a = -2*p - 20, 5*a = -5*p - 20. Let f = p + 1. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7620*a**3*j + a**2*j - 17*a*j wrt a.\nAnswer: 45720*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z. Let w be l(2). Let k(b) = -5 + 4*b - 2 - 8 + w*b**2 + 11. Let i be (-2)\/(-2 + (-9)\/(-6)). Let f(h) = -3*h**2 - 5*h + 5. Give i*f(t) + 5*k(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) 2  (b) 2\/47  (c) -3  (d) 5  (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5543*q - 195 = 5538*q. 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: Calculate prob of picking 2 j when two letters picked without replacement from tjttltlljtttlt.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 9069 or 9070?\nAnswer: 9069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c - 2. Let p be (7 - 16\/4)*1. Let r(b) = 0*b - 15*b - 6*b + 20*b + p. Calculate -4*r(y) - 6*v(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 41767856131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3240, 6479, 9712, 12939?\nAnswer: 16160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 82347.52 millennia in decades?\nAnswer: 8234752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(-6) + (-156)\/(-4680).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 214*v + 891. What is k(-4)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1170662623 to the nearest integer?\nAnswer: 34215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24962 is divided by 8317?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 11791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -2*h**2 + 17. Calculate x(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y = 10*m + 21*m - 30*m + 21, -18*m = 2*y + 36 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:00 AM and 4:00 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*f**2\/9 + 15515444*f - 270820127831778 = 0. Calculate f.\nAnswer: 34909749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*d + 28*t - 26*t - 50, 20 = 2*d - 4*t. Solve -4*r = d, s + 5 = r + 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f - 8 = -2*f. Suppose f*p = -51 + 179. Suppose -4*y - 2 = -46. What is the remainder when p is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, 0.01, -2109?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -596*y + 603*y - 21 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w, 1 n, and 1 m when three letters picked without replacement from ymwfwwfwwmmnnmw?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*u = 11*u + 6. Let i be 25*(-1)\/((-55)\/u). Suppose 4*c + 2 - 10 = -5*s, 2*c + 4*s - 4 = 0. Is c bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -8*h + 92*h**2 + 13799*h**3 - 13810*h**3 - 16*h**2 + (0*h**2 + 2*h**2 + 0*h**2)*(h + 0 + 0).\nAnswer: -9*h**3 + 76*h**2 - 8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 63*g + 22*g - 19*g. Let f(w) = -19*w**2. Determine b(f(k)).\nAnswer: -1254*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1896710?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1415 bigger than 1356?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 999 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 + 65547775889\nAnswer: 65547775888.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3362376 and 12504?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**3 + 7*l**2 - 7*l - 13. Let g be n(-7). Suppose 0 = 39*q - g*q + 6. Let o(b) = -23*b**3 + 9. What is the hundreds digit of o(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 89345 is divided by 101.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 4*a - 2. Let x be 119244 - -6 - (-2 + a). Let f be (-4)\/(-3 + 357747\/x). Round f to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 15 + -7. Let w = -30741 + 30755. What is the greatest common factor of w and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*p**2 - 3*p + 3*p)*(-5*p - 19*p - 1031713 + 1031603) to the form u*p**3 + f*p**2 + g + v*p and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 119052645 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from zzzzszzz?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*n - n - n)*((-2 + 3 + 0)*(3*n**2 - 1 + 1) - 717*n**2 + 3448 - 3448).\nAnswer: -714*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 13*y**3 - 15*y**2 - 62*y + 448. What is the tens digit of i(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 6  (b) -0.7  (c) 103\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 133 a factor of 819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 485 minutes before 11:38 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -122 - -58. Let q = 663.17587 + -727.175972. Let u = q - t. Round u to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 93\/22 and 23\/626.\nAnswer: 6886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 4484, 9013, 13540, 18065, 22588, 27109?\n\"Answer: -n**2 + 4532*n - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*q = -18*q + 1. Does 12 divide q*12*-2*(-3)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 111101100 (base 2) in base 9?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -44410 divided by 1?\nAnswer: -44410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.9, 0, 3\/2, -0.3?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/5, -4\/15, -0.1, -274, -4 in decreasing order.\nAnswer: 2\/5, -0.1, -4\/15, -4, -274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 65.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*r**2\/5 - 14711316*r\/5 - 44133966\/5.\nAnswer: 2*(r - 7355661)*(r + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = a, 4*a + 10 = -5*k + 51. Suppose -k*o = -b + 4947, 4*o + 4*b - 2334 = -6306. Round o to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 3*x**4 + 0 - 10*x**2 + x**3 + 11*x**2 to the form z + s*x**3 + p*x**4 + k*x + r*x**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*l**2 - 34*l**2 - 375*l + 375*l to b + x*l + v*l**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2793?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*h - 2 = -56 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 116108 to the power of 1\/2, to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 57648864 a multiple of 416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 5836516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 53129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 0  (b) 0.1  (c) -264  (d) -0.1  (e) -29.3  (f) -0.34\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9 + 3 + 11862*w + 13.\nAnswer: 11862*w + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 57518 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*i**3 - 1347*i**2 + 19542*i + 44448.\nAnswer: -3*(i - 16)*(i + 2)*(i + 463)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -331413 + -4?\nAnswer: -331421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 9268.236 millimeters?\nAnswer: 9268236000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12*h**3 - 100*h**3 - 219*h**3 + 1 - h**3 - 1 + (-1 - h**2 + 1)*(4*h - 3*h + 0*h) to the form z*h**3 + c*h + i*h**2 + k and give z.\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9 - 0 - 10 - -6) + -10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 297169892.\nAnswer: 2, 857, 86689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1081 = -4*n - 205*z, -2 = z + 4 - 7 - 4 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -122*f**2 - 5*f - 22. Let g(o) = -67*o**2 - 3*o - 11. Calculate 5*g(r) - 3*i(r).\nAnswer: 31*r**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.0045 + 0.1835. Let x = u - 0.179. What is the biggest value in -124, x, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -3*z. Suppose -j + 5*j - 1036 = 0. Let x(f) = -j*f**2 + 535*f**2 - 270*f**2. Calculate q(x(k)).\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0, 1.19, 33956, -2?\nAnswer: 33956","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*d + 3*d - 210000. Round d to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 84, 80, 76, 72, 68, 64?\n\"Answer: -4*i + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-7))\/((-154)\/539)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 199 - 199. Suppose 2*u - 16*u + 56 = o. Solve -p + 21 = -u*l, 0 = p - l - 7 + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**5*t**(-3))**(-29) assuming t is positive.\nAnswer: t**(-58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 24693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + 0 + (-12 - -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 482.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 2911 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -31779*a**2. Let v(l) = 101*l**2. Determine v(d(o)).\nAnswer: 102000388941*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 374 divide 1733775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z**2 + 7*z + 10. Let k be j(-4). Which is the nearest to 3?  (a) 5\/3  (b) 4  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, -2\/13, -0.5, 2\/45 in decreasing order.\nAnswer: 0.2, 2\/45, -2\/13, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 15365\/61492 - -2\/15373. Factor -a*i**3 + 0 - 1\/4*i**2 + 1\/2*i.\nAnswer: -i*(i - 1)*(i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -157246*f**2 + 2*f - 81752 wrt f.\nAnswer: -314492*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44745071.\nAnswer: 7, 17, 376009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 64*v - 34*v - 180. Solve 312 - 336 = -v*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z + 9. Let k be a(-9). Let n = k + 0. Suppose n = 2*b + 2*v - 36, 2*b + 3*v = 38 + 2. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d - 10. Suppose -2*c + 48 = 2*c. Let x be h(c). Let f(r) = 4*r**2 - 2*r - r**3 - 5*r**x + 3*r. What is f(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -65c6d (base 16) to base 10\nAnswer: -416877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 116580631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = n - 3. Let a be -1 + n + 18*4. Suppose -4*k + 0*k + a = i, 3*i = -3*k + 48. Is 10 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6998 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 270 minutes after 12:26 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*w + 4*w + 2*v + 12, -v = -5*w + 13 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -u**4 + u**2 + 26 - 26 + (-u + 4*u - u)*(3*u**3 - 7*u**2 + 7*u**2) to the form c*u**2 + y*u + h*u**3 + s + t*u**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -31 * -6033944\nAnswer: 187052264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -162 + 162. Is -2\/309 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.0279  (b) 10  (c) 0.1  (d) 42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -67\/72 and -71\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, y: 2}. What is prob of sequence yj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1083\/(-15162) + 1\/(-182).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -95 + 135. Find the common denominator of (w\/(-720))\/((-1)\/411) and -163\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 76 a factor of 7068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.009 minus -417?\nAnswer: 416.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3334*k**3 - 7121*k**3 - 9*k + 3789*k**3 + 9*k.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the third derivative of z**5\/60 - 31*z**2. Let b(m) = -137*m. Give b(p(q)).\nAnswer: -137*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the first derivative of 4\/3*o**3 + 0*o + 7 - 21\/2*o**4 - 2*o**2. Let j be w(3). What is j rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 43\/2 of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4e + -efe8?\nAnswer: -ef9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 47.23 - 44.9. Let h = o + -2.34. Sort 0.02, -0.1, h in descending order.\nAnswer: 0.02, h, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.467 + -2.533. Let x = 153\/2 - 75. Which is the second smallest value?  (a) x  (b) 0.1  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 12 = 6. Suppose -5*c - 5*w + 103 - 8 = 0, w = b. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28559969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 878133687 to the power of 1\/5, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 879.6592m in kilometers?\nAnswer: 0.8796592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -17 - -17.3. Let n(z) = -2*z - 3. Let x be n(-3). Suppose x*p = 4*p - 5*t + 19, -5*p - 7 = -3*t. What is the third biggest value in -3, p, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 56756 and 40540?\nAnswer: 283780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -27?  (a) 0.5  (b) -2\/9  (c) 0  (d) -4  (e) -5  (f) -709\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5 - -86. Suppose -2*r = 3*m - y, 0 = -r + 14*m - 15*m + 41. List the prime factors of r.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 50 - 30. Let v = w - 20. Is v less than -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 3*d**2 + 4*d - 6. Let u be l(7). Suppose -2*o + 3 = o, 3*s = 5*o + u. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 194 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*i - 10 = -46 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.32 - -0.32. Let d(u) be the first derivative of u**3\/3 - 5*u**2\/2 - 3*u - 14. Let p be d(7). Sort 3, p, f.\nAnswer: f, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = 4*f - 2*v, 4*f + 4*v - 16 = -0. Let q = f - -6. Let c(b) = -3*b**3 - 2*b**2 - 2*b - 1. Calculate the remainder when q is divided by c(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -787*f - 42 = 788*f - 1569*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6*-12*33\/792?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d**3 - 9*d**2 + 4. Let s be p(-9). Let c = 28 - s. What is the smallest common multiple of 108\/c*(-8)\/(-3) and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1, 17, -2\/7, -5\/26, 3.5, -0.5, 0.5?\nAnswer: -5\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (9\/(-3))\/(-15)*(3 - 187\/44). What is the nearest to d in -2, -133, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.04?  (a) 262\/7  (b) -5  (c) -1125\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 11628438 by -6.\nAnswer: -1938073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 108 (base 12) to base 15.\nAnswer: a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 106 + -54. Suppose 0 = 2*x - 22 - a. Calculate the remainder when x is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -1, -35\/26, 24, 1\/58?\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -8\/31497  (b) -4  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, -0.23, 5\/2?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42 = 4*v + 2*z + 102, -z = -2*v - 22 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 107 + -104. Suppose -7 = 5*g + t*f - 280, 2*f = -3*g + 164. Let a = 159 - g. What is the highest common factor of a and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2858 = -2270*l - 396 + 2078 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -259383 or -259820?\nAnswer: -259383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the third derivative of -2*l**2 + 0*l - 1\/6*l**4 + 0 + 5\/6*l**3. What is the derivative of v(j) wrt j?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 62.17 - 62. Let y = 0.37 - w. Suppose f = -3 + 11. Which is greater: y or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8 + -4. What is the remainder when 14 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -294, -306, -326, -360, -414?\nAnswer: -494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -388 - 2*j + 777 - 389.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -166706266865 + 401\nAnswer: -166706266464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 3\/8 of a week?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 4*r - 44 = 0, -2*r + 78 = 5*h + 4. Let u be (-2 - (-28)\/h) + 81\/(-12). What is the remainder when 1\/1*-6*(-7 + u) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 60*j - 252. Calculate the lowest common multiple of 294 and l(5).\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r**(1\/2)*r*r)\/r)\/r*r*r**(-7))**(-43)\/(r*r\/r**(-5\/2)*r\/(r**(2\/9)\/r)*r*r**(-2\/7)*r*r*r**(2\/7)) assuming r is positive.\nAnswer: r**(2045\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 79.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 3*b**4 - 15*b**3 + 9*b**2 + 25*b. Let p(c) = -c. Let v(a) = m(a) - 2*p(a). Let v(s) = 0. Calculate s.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1.27 and 7442.\nAnswer: 7443.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 243483, 243459, 243435, 243411, 243387?\nAnswer: 243363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 6920 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: Round 1798515900 to the nearest 100000.\nAnswer: 1798500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 453*o**3 + 17*o - 30. Let c be i(2). Let p be 28\/(-63) + (-9)\/((-75654)\/c). Which is bigger: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.41  (b) -4\/9  (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3346896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7141*p**3 + 206 - 305 + 99 + (3*p**3 - p**3 - 3*p**3)*(-3 - 1 + 2) + 8*p**3 - 2*p**2 + 2*p**2.\nAnswer: 7151*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 66347.68 litres?\nAnswer: 66347680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (22 + -28)*(-1)\/1. Suppose d*h - 3*h = 36. What is the greatest common factor of h and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9 - (-4 - -14)) + 9 - (-11 - -6).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4792112 and 26?\nAnswer: 4792112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2.3?  (a) -1\/3  (b) -18  (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.27 + -0.01. Let o = f + 0.28084. What is o rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -4*t + 3. Let n(y) = -5*y + 4. Let c(p) = -4*l(p) + 3*n(p). Let r(h) be the first derivative of -166 + 0*h + 3\/2*h**2. Give c(r(z)).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + y = -2*g + 10, -y - 17 = -5*g. Solve g*l + 2 - 17 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in 0, 0.4, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = u**2 + 7*u + 3. Let n be a(-7). Suppose -31 = -2*j + d, -2*j + 7*d - n*d = -34. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1652 and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -119752 * -3\nAnswer: 359256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7233?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4*(-10)\/2*4\/(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 + 5 = 5*m. Solve -4 = -m*z - 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) be the third derivative of -a**6\/120 - 2*a**5\/15 + a**3 - 9*a**2 - 10. Calculate m(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 197 divide 29747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, 2, 3, 4, 50 in ascending order.\nAnswer: 2, 3, 4, 12, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 506019 is divided by 4478?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve t**2 + 14601*t = 0 for t.\nAnswer: -14601, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 99520194 and 687.\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 256396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-25)\/225)\/(33\/(-15741)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 minutes after 12:41 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14\/3*-1*3)\/(1170\/(-6695)*103)?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 461.8 - 3933?\nAnswer: -3471.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 79\/6 and -5\/9173244?\nAnswer: 9173244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 36 = 5*d, 5*q = -0 - 20. Suppose 0 = 5*h - 28 + d. What are the prime factors of ((-1)\/2)\/(h*(-4)\/5344)?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 895 + 4768 = 0. Let s = q - 2501. What is s rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + (-2 + -3 - 0 - -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4.7*-0.4338.\nAnswer: 2.03886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 4 = -2. Let r(g) = g**2 + 2 - g - 5 - g**3 + v. Calculate the remainder when r(-1) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-250)\/(-65) + 4\/26. Suppose -3*y = 3*f, 2*f = f - 1. Let o = y - -1. Put u, o, 5 in descending order.\nAnswer: 5, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -26117989*v*z + 846607*z - 21 wrt v?\nAnswer: -26117989*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 662 minutes before 5:45 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n - s + 268, 0 = -5*n - 2*s + 661 - 213. Let i = n + -97. Let u = 190 - 193. Which is the nearest to i?  (a) -2  (b) 0.4  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that 2*l**2\/9 - 886*l\/3 + 10600\/9 = 0.\nAnswer: 4, 1325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7976*j**3 - 2648*j**3 - 2676*j**3 - 2647*j**3.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(51)*2 - (sqrt(51) - sqrt(459)*-4))\/(-6*(sqrt(300) + -2*sqrt(300) - sqrt(300))) + -4)**2*5.\nAnswer: 17*sqrt(17)\/3 + 235313\/2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 2*x + 4 = -0*x, 5*x = 0. Let n = r - -6. Find the third derivative of 3*o**n - 2*o**3 - 3*o**2 - 3*o**2 + o**3 wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/4 of a microgram in nanograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z**5\/5 - 206*z**4\/5 + 3188*z**3\/5 - 10216*z**2\/5 + 1872*z = 0. Calculate z.\nAnswer: -117, 0, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add together 10 and 8.069516.\nAnswer: 18.069516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -164 divided by 1445028.\nAnswer: -41\/361257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -2*w**3 + 5*w**2 + 4*w - 4. Let o(h) = -h**3 + 2*h**2 + 4*h - 6. Let z be (60\/(-45))\/(8\/(-18)). Let k be o(z). Is l(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + -2 + -8 + 5 + (34 - 24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 3 - 1103375705\nAnswer: -1103375702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-1)\/(-2) + -1)*(3 + -3). Suppose q*b - 1157 = -3*d - 4*b, d = -b + 384. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20 - (0 - (4 + -2) - (11 - 17)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g**5\/2 - 21*g**4\/2 - 27*g**3 - 3*g**2 + 51*g\/2 + 27\/2 = 0 for g.\nAnswer: -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -23520681445\/37 - -17353904656093\/27269. Let v = r - 702718. Let x = -10\/67 + v. Which is smaller: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 2946.56m?\nAnswer: 2.94656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*(h*h*h**(-28)*h)\/h)**3\/(h**(-19)*h*h*h*h*h*h**5*h*h) assuming h is positive.\nAnswer: h**(-68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 12872569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 255 - -289. Is 32 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that -2*x**2\/7 - 198*x + 4176\/7 = 0.\nAnswer: -696, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*c**3 + 2*c**4 - 3*c**4 - c + 8 + 3*c**3 + 2*c**3 in the form r*c**2 + b*c**3 + h + u*c**4 + t*c and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 4295401 + 0.1069\nAnswer: 4295401.1069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10010110111100011 - 10010?\nAnswer: -10010110111110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the second derivative of q**7\/280 + q**4\/24 + q**3\/3 + 2*q. Let b(u) be the second derivative of d(u). Differentiate b(s) with respect to s.\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2 - -183837870?\nAnswer: 183837872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13 - 13 + 5*p + 0*p - 2*p + 3*p + (2*p - p - 3*p)*(1 - 3 + 4) + 0*p - p + 0*p)*(-4 - 4*p + 4).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*m**2 - 57 - 22 + 116 - 37.\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 64.94136 - 67.496. Let j = -2.34438 + f. Let i = j + 4.9. What is i rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 2411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u**2 - u - 4 - 4*u**2 - 32*u**3 + 33*u**3. Suppose -20 = -5*a, -3*v - a + 5*a - 4 = 0. Let j be x(v). Solve w = 5*w + j for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1114\/13 - -3698\/65. Let j = 29 + p. Which is the nearest to 3\/5?  (a) j  (b) 5  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2  (b) 3  (c) 1  (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2401008?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -59?  (a) -7  (b) -0.4  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 13 + -15.8. Let n = 3 + u. Let o = -2.2 - 2.8. Which is the biggest value?  (a) o  (b) n  (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-17243)\/215 + 83)\/(2\/10). Factor -l - 8\/3*f + 2\/3*f**2.\nAnswer: 2*(f - 7)*(f + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 52*g + 4056. Let b be i(-78). Let y(d) = -d**2 - 8*d - 2. Suppose -k - 19 = 2*q, -4*q - 2*k - 31 = -q. Let h be y(q). Solve h*c + 20 = -b*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 54\/(-45)*-5*1. Suppose h = k + 83, 5*h - g*k - 417 = -2*k. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40958.14 litres in millilitres?\nAnswer: 40958140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6611 is divided by 1647.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 3*m + 10. Let s(r) = r + 5. Let a(x) = 2*g(x) - 5*s(x). Let j be a(9). Calculate the highest common divisor of 10 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**2 + 14*g + 10. Let q be -4 + (-13 - -5 - 2). Calculate the lowest common multiple of 22 and f(q).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 9889026 or 9889020?\nAnswer: 9889026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -119\/29688 and -22\/1017.\nAnswer: 10064232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -36 + 3 + -8 + 5. Let m = r + 36. Solve m = -3*c - 2*c - 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8277359339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12 - 12 + 2*f)*(-f + 1 - 1)*((3 + 0 - 7)*(2*f - 3*f + 9*f) + 1 - 2*f - 1).\nAnswer: 68*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a + 5. Let h be g(-4). Let u be (2\/2)\/h*5. Suppose -2 = 2*r - 2. Put -4, u, r in descending order.\nAnswer: u, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 11?  (a) 2\/9  (b) -2\/7  (c) 1  (d) 1\/6  (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l**2 + 3*l - 2. Let t(n) = -2*n**2 - 4*n + 2. Suppose 4*g + 8 = -4*m, -193*g + 190*g - 21 = 0. Determine m*o(u) + 4*t(u).\nAnswer: -3*u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6.5 - 84. Let w = 78 + x. What is the closest to -2\/15 in -0.1, 2, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -58 take away -628.86?\nAnswer: 570.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101720 (base 8) to base 6.\nAnswer: 420120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*y**2 + 2*y**2 + 2*y**2 + (4*y - 3*y + 0*y)*(-3*y + 28 - 28) + (y**2 - 3*y**2 - 7*y**2)*(-4 - 3 + 5).\nAnswer: 13*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*sqrt(180)*-1.\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 3*h = -9, n - 2*h - 21 = -4*n. Suppose -4*r = -3*b - 17 + 4, -n*b - 11 = -4*r. Which is smaller: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 214  (b) 1\/6  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (176 - 172) + (-2 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**3 + 3*b**2 - 18*b - 96. Determine g(0).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8904981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (4301\/(-2) + 1)*(-1040)\/780?\nAnswer: 2, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: (-7 - -7 - -1) + -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 23.3 + -23.439. Round r to 2 decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 4\/9, 3\/5, 4\/3, 3.4, 4\/83 in descending order.\nAnswer: 3.4, 4\/3, 3\/5, 4\/9, 4\/83, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that 9*r**3 + 64950*r**2 - 21657*r - 43302 = 0.\nAnswer: -7217, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 5*z + 8 = 0. Let t be (-4)\/z*330\/(-5). Let v = t + 35. What is the greatest common divisor of v and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/5, 19, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -23 in 4, 0, 0.1, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 79032?\nAnswer: 2, 3, 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 400 = 7*k + 9*a + 294, 2*a - 13 = -k for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 + 0 - r + (4 - 3 - 3)*(-3*r + 4*r + 2*r) + (-2 + 2 + 1)*(-r - 4*r + 0*r) - r + 0*r + 3*r as h*r + y and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(34)\/sqrt(2)*4*-5)**2 - (-5*sqrt(17)*2)**2*-2.\nAnswer: 10200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (12\/(-36))\/(8\/18)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (-1*sqrt(1573) + -1 - sqrt(1573)).\nAnswer: -22*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 169707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*i + 5 = -5*i. Is 4 + -3 - (-56 - i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*k + 9*k - 264. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -b - 35, 6*i + 5*b - 41 = 3*i. Let w be ((-10)\/(-6))\/((-2)\/i). Is -12 >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3*9\/(54\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -82*b + 26*b + 328552. What are the prime factors of b?\nAnswer: 5867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -199 - 0?\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -3*(28\/12 + -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 261 and 348?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 16115 (base 16) in base 14?\nAnswer: 24d25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.1670723 and -2.\nAnswer: -0.3341446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*1*(-3 + (0 + sqrt(2) + -3)**2 + 2 + 2 + sqrt(2))*4*-3.\nAnswer: -240*sqrt(2) + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*v - 2*h + 26, -h - 10 = 2 - 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -20550 - 50535?\nAnswer: -101415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 31, 17795, 137 in descending order.\nAnswer: 17795, 137, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -2*j**2. Let s(p) be the second derivative of -p**6\/720 - p**4\/6 + 7*p**3\/6 - 22*p. Let t(o) be the third derivative of s(o). Calculate t(d(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -50780400*d**2*h**2 + 641*d*h**2 + 4*d*h - 16*d - h - 1 wrt d?\nAnswer: -101560800*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 86 = 99. Suppose 0 = -6*i + u + 5. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8217882 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*r + 591 - 584 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 143*k - 147*k = 3*i + 5, -3*i = -16*k - 35 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 90*c - 1727. What is the remainder when f(23) is divided by 173?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 36 - 35.75. Let g = t - 0.55. What is the second smallest value in g, -9, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 6*c**5 - 8*c**3 + 2*c**2 - 8. Let m(r) = -r**3 - 1. Let l(y) = i(y) - 8*m(y). What is the third derivative of l(j) wrt j?\nAnswer: 360*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -113\/480 and 107\/533712?\nAnswer: 5337120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1  (b) 2\/11  (c) 1\/127\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = m**3 - 19*m**2 + 13*m + 80. Let g = 5883 - 5865. What is u(g)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = -5*h + 45, -2*d + 3 = -h - 2. Let n be 26\/10 - (-2)\/5. Sort n, h, 2 in descending order.\nAnswer: h, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -1242*r + 206. Let l be s(4). What is l rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 12.43 - 14.1. Let y = 2.07 + s. Let o be (-2)\/(-3) + 16\/(-15). Which is the closest to y?  (a) o  (b) -2\/7  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 18043640, 36087280, 54130920, 72174560?\nAnswer: 90218200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 586626957 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.06766449 rounded to three decimal places?\nAnswer: 0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.02 + -1646646.817.\nAnswer: -1646646.837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 362769148*q. Let s(r) = -2*r. Give i(s(y)).\nAnswer: -725538296*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = f - a - 19, -267*f = -268*f - 4*a + 14. Calculate the lowest common multiple of f and 336.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1691480, -1691483, -1691486, -1691489, -1691492?\n\"Answer: -3*v - 1691477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Add together -205857 and -0.11.\nAnswer: -205857.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 93559133.\nAnswer: 29, 1669, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 24 = -u. Let f = u + -43. Let l = -6 - f. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1793 take away 0.22?\nAnswer: 1792.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2166349, 4332658, 6498965, 8665270, 10831573, 12997874?\nAnswer: 15164173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 589108 = -2*u, 257 = -2*u + 265. What is q rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -68.04 - -68. Which is smaller: c or 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f = -c + 7, 8*c = 5*f + 7*c + 22 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 22 = c, -2*c - r + 5 = -4. Let g(x) = -x**3 + 7*x**2 + 3*x - 10. Let o be g(c). Suppose 0 = 7*q - o*q + 20. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 19d8d7 (base 16) to base 3\nAnswer: 10012001121110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 63233 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - (-6 + 0) - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 6661.759 meters in nanometers?\nAnswer: 6661759000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 765382468955 from 0.075.\nAnswer: -765382468954.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18966 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00109522497 rounded to 7 dps?\nAnswer: -0.0010952","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11 - 7 - 4 - 41121*h + 41165*h.\nAnswer: 44*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 14*v - 1. What is the remainder when s(1) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(45))**2 + 3.\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 8\/25 of a tonne?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i = -5*h + 26, 2 = 4*h + 4*i - 6 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rtgtgissb. Give prob of picking 1 s, 1 b, and 1 r.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 39 + -4*(-2)\/8. Suppose 4*g - 8 = -2*u, z = -2*g + 7*g - 5*u. Suppose -g*c - 4 = -36. Calculate the remainder when 38 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven halves of a microgram in nanograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2\/11  (b) -89  (c) 3\/7  (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that 4*m**5 - 100*m**4 + 84*m**3 + 292*m**2 - 88*m - 192 = 0.\nAnswer: -1, 1, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1\/(-3)*(-3)\/(-5). What is the third biggest value in 1, 0.6, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -140 (base 11) to base 12.\nAnswer: -119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -4 - t**2 + 2 + 3 + 10*t. Calculate the remainder when g(8) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:29 AM and 3:20 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/(-30))\/(-35*(-11)\/(-275))?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (5\/15)\/((-1)\/(-18)). Let j(v) = 2*v + 2. Let d be j(-2). Let i = d + o. Solve -12 = i*w + 2*z, -3*w + 5*z + 1 = -3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:28 AM and 1:26 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r + 2986*z - 3027*z = -272, -5*z + 70 = 7*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33274 is divided by 94.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3542237 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the second derivative of 4*t**6\/15 - 13*t**3\/3 - 796*t**2 + 11*t - 2. What is the first derivative of g(w) wrt w?\nAnswer: 32*w**3 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -4*l + l. Suppose 0 = l*z - 6, 3*f = f + 2*z - 34. Let i = 16 - f. What is the common denominator of 65\/2 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fo when two letters picked without replacement from {o: 6, f: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14 - -12) + -8 + 2 + 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 16.765 - 0.915. What is y rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*w + 3*k - 0*k - 9, -18 = 2*w - 5*k for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*m = -21*m + 4*g + 24, -4*g - 16 = 2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -47, -5, -315, 12, 3, -3.\nAnswer: -315, -47, -5, -3, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -38.47 + 38.57. Sort -39, 7, p.\nAnswer: -39, p, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.05 + 11624892467198.\nAnswer: 11624892467198.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*b**2 - 2600*b - 2604.\nAnswer: 4*(b - 651)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -51241*b**4 - b**3*k**2 + 2*b**2*k**2 - 417*b*k**2 + 3*b + 2 wrt b?\nAnswer: -1229784*b - 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 224*g + 62. Calculate m(-1).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30835597?\nAnswer: 13, 2371969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -23*d - 24*d + 57*d - d**2 - 11*d. Let g(a) = 8*a**2 + 7*a + 1. Give 2*g(x) + 14*s(x).\nAnswer: 2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 9 - 13. Let n(m) = 22*m**3 + 3*m + 13. Let a(w) = 23*w**3 + 5 + 8 - 2*w + 0 + 6*w. Let o(p) = b*n(p) + 3*a(p). What is the derivative of o(r) wrt r?\nAnswer: -57*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(76) - (sqrt(76) - (0 + sqrt(76)))*2) + (-2*sqrt(76)*6)**2.\nAnswer: 2*sqrt(19) + 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -338 + 863. Suppose 91*x - s = 86*x. Let g = x - -106. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w + 95 = 5*a, -268*a + 265*a + 8*w = -77 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = -c - 6*d + 1478, 2*d + 1451 = c. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 182745 or 182736?\nAnswer: 182745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, v: 2, s: 1}. What is prob of sequence vi?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2731 is divided by 1159.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 9) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3*(8\/(-12) - 1). Let c(f) = f - 4. Let i be c(-4). Let o = d - i. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4752228 divided by -743?\nAnswer: -6396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 200 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -13*x**4 - x + 38*x**4 + 15*x**4 - 3*x + 233 - 1069 with respect to x.\nAnswer: 160*x**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2975\/(-357)*(-16)\/240?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 2 t when three letters picked without replacement from {c: 1, t: 2, n: 4, u: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 1113020021 (base 5) to base 15\nAnswer: 33bcc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19647241358 - 380*b**2 - 19647241358.\nAnswer: -380*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 22855.6917 + -21956.86. Let v = l - 899. Let i = v - -0.17. Round i to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -7243057, -7242958, -7242859, -7242760, -7242661?\n\"Answer: 99*x - 7243156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 798, 1617, 2454, 3309?\n\"Answer: 9*m**2 + 792*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -11\/5, 3, 2\/11, -1\/234, 2\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the second derivative of 1\/2*p**3 + 0 + 10*p + 27\/2*p**2. What are the prime factors of u(15)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 30482709?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -6*x - 381. Let z(h) = -4*h - 383. Let t(v) = -6*n(v) + 5*z(v). What is the first derivative of t(b) wrt b?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21178.\nAnswer: 2, 10589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 minutes after 4:42 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*x**3 - 19256*x**2 - 3342592*x - 146392576.\nAnswer: -2*(x + 88)**2*(x + 9452)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37280?\nAnswer: 2, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (7\/28)\/((-1)\/4). Sort 3, 4, p in ascending order.\nAnswer: p, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/9, 273.3, 2, -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -3.33*-0.3\nAnswer: 0.999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -20 + 24. Suppose -14*p + 14 = -14. Solve -v*m = p*h - 4, -h = 3*m - 3 - 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 12 = v - 0*p, 0 = -3*v + p + 16. Suppose v*g - 313 + 89 = 0. What is the least common multiple of 32 and g?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(99)*-4 + sqrt(99) + sqrt(99)) + sqrt(99))\/(sqrt(18)\/(sqrt(2)*-4 - sqrt(2))).\nAnswer: 55*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - 0 - (-694 + 699 - (-1 - -33))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*k + 3*k - 5*x - 26, -20 = -2*k + 2*x. Is 11 a factor of 13 + (k\/3)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 57\/5 of a milligram in micrograms?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1450646*n**3 + 6448605*n wrt n?\nAnswer: 8703876*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 225569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -38, -60, -82, -104, -126?\n\"Answer: -22*b - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 964 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6656 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 1 + 15 + (-2 - 2 + 5)*(-1 + 2 - 3))*(3*m - 4*m + 0*m) + 2 + 9*m - 2 in the form q*m + a and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-1\/5))**41\/(u**3*u)**15 assuming u is positive.\nAnswer: u**(-341\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 17303\/77 + (-6)\/(-21). Suppose -r = 5*l - h, -4*r + 807 = -3*l - 208. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7307 (base 8) to base 6\nAnswer: -25303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -289 + 289. Let y = h - -90. Which is smaller: y or 92?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*y + 6*y - 51 + 50.\nAnswer: 14*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 27083 and 266378?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*q**2 + q**2 - 3*q**2)*(7338148 + 3*q - 7334452 - 2*q).\nAnswer: 2*q**3 + 7392*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 4*j - 1259 = -2*u, 2*u - 801 = -5*j. Is u a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k**3 + 12*k**2 + 64*k - 23. Determine a(18).\nAnswer: -815","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 6707073 or 6707120?\nAnswer: 6707120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 21 + -311113?\nAnswer: -311042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*h = -7*h - 362. List the prime factors of h.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(1 + sqrt(432) + -4 + sqrt(432))*-4 - (-2 + (sqrt(432) + 1 + sqrt(432))*5)*1)**2.\nAnswer: -3888*sqrt(3) + 140049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 919*x + x**2 - 7538*x**3 + 7537*x**3 + 57*x in the form l*x + q + f*x**3 + t*x**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -13  (b) 5  (c) -0.1  (d) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 35.3073 tonnes?\nAnswer: 35307300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-13450)\/(-5380)*-2*2\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((8\/(-60))\/(12\/(-10)))\/((-64)\/384).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 31 + -29. Solve 3*p + z = -2*p - 19, 0 = -2*p - q*z - 14 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*m - m + 15 = 3*h, 5*h + 11*m = 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 2, y: 4, x: 3, o: 1}. Give prob of sequence qoq.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-4)\/6)\/((-1653041)\/236145 - -7).\nAnswer: 5, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 53\/(12985\/280)*70\/(-5)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -96 - -81 - (-1 - 20).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-13)*x)**40)**(-1\/3) assuming x is positive.\nAnswer: x**160","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 0 + 3*z + z - 4*z + 5*z + 1 + 2*z - 1 + (5 - 1 - 2)*(3*z - 2*z + z) + 1 - 1 - 2*z - 2 + 2 + z - 3*z + 5*z - 3*z + 3*z - 6*z - z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 7820b8 (base 16) in base 12?\nAnswer: 2777b60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5303 is divided by 1596.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k\/(k*k**(-3)))\/k)**38*(k\/(k*k**4))**10)**(2\/3) assuming k is positive.\nAnswer: k**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -j**3*m**2 - 851691*j**3*y**2 - 17*j**2*m**2*y + 37*j**2*m**2 + 4*j**2 - m**2*y**2 + 17 wrt j?\nAnswer: -6*m**2 - 5110146*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 302399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 37 - 19. Suppose 5*z = 2 + d. Suppose -2*r + 6*r + 8 = 4*i, -z*i = -2*r - 10. Solve -l + f = -3*l - 1, -i*l - 12 = -2*f for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 50895662 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.2 times 102?\nAnswer: 224.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-24)\/88)\/(36\/33*(-111)\/814).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-3)*q**(-7)*q)\/(q**(-1))**28*((q\/((q\/(q**10\/q*q*q))\/q)*q)\/(q\/(q\/((q\/(((q*q**(2\/5))\/q)\/q))\/q))))**(-1\/18) assuming q is positive.\nAnswer: q**(824\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sum -197 and 5592988.3.\nAnswer: 5592791.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -60 + 60. Suppose b = 18*y - 4*y - 546. Find the second derivative of -y*r + 20*r**2 - 2077 + 2077 wrt r.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1454383 is divided by 466.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -17 + 15. Sort 0.2, x, -0.1 in descending order.\nAnswer: 0.2, -0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 16541 and 357?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -26950674, -26950673, -26950672, -26950671?\n\"Answer: n - 26950675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2337, 4672, 7001, 9312, 11593?\nAnswer: 13832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2 + 0 + (2 + 0 + 0)*(3 + 1 - 3) + 11 + 2 - 5)*(-3*p + 5*p + 3*p).\nAnswer: 45*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1015, -408, -10?\nAnswer: -408","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h - 35*n + 871 = -164, -90 = -3*n for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2620997623.\nAnswer: 39439, 66457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2*(5\/(-30))\/((-6)\/54). Solve 14 = 4*n - 5*y - 3, 0 = -3*n + c*y + 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ddcd when four letters picked without replacement from {d: 9, c: 2}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5351 - -2?\nAnswer: -5345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2302332 - -10?\nAnswer: -2302322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -226846 less than -226846?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -7*o**2*w - 8*o**2 - 2*o*w + 366*o - w + 62211 wrt o.\nAnswer: -14*o*w - 16*o - 2*w + 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 337 is divided by 323.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 35 - 33. Let m be g\/42 - (-16)\/56. What is the second biggest value in -5, -2\/21, m, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1, 0.015, -0.1, -1\/5, -790, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -48177 + 173*d**2 + 170*d**2 + 48177 - 345*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -2*d + 2*o, -5 = 5*d + o - 4*o. Solve 3*y + 18 = -2*m, m + 15 = -d*y - y for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(65)\/(sqrt(20)\/sqrt(4)) + 3.\nAnswer: 3 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 3*q + 4 = -7, 0 = 4*k - q - 18. Suppose 3*s + 149*n = 151*n + 495, -k*n + 311 = 2*s. What are the prime factors of s?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9 - 0) + 51 + -18 + 59?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*p + 12*p + 10 = 0. Solve 0*g = p*f - 4*g - 28, -5*f = -2*g - 24 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.1 less than -8060.099?\nAnswer: -8058.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 10262647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 89172508657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cc when two letters picked without replacement from ccchpcccpccchhhchh?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 21 = -25. Suppose m*j + 3 = -5, -3*t + 4*j = -307. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 74 and 3811?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 472118200.\nAnswer: 2, 5, 2360591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22814790 divided by -7604930.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zioq when four letters picked without replacement from {q: 4, i: 3, o: 2, z: 6}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i = 1 + 15 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_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 i = 3 - 2.6. Suppose 5*k - 12 = 2*k. Let u = k + -7. Which is the smallest value?  (a) u  (b) i  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 47*51 - 2 - -2. Let h = 4497 - i. Round h to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 2, t: 2, o: 4, w: 1, p: 7}. What is prob of sequence ytp?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (6\/(-9))\/((-2)\/15). Suppose -o*x + 8*x = 1407. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 203 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v**3 + 6*v**2 + 5*v - 8. Let j be m(-5). Let x be (-9)\/(-3)*j\/6. Let n(f) = -f**3 - 5*f**2 - 2*f + 8. Let z be n(x). Solve z = 5*h - 0*h + 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 910196728 by 65014052.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.3 + -1.3. Let x = 9 - 8.8. What is the nearest to s in -4, x, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -42, 0.04, 34.8, -10 in descending order.\nAnswer: 34.8, 0.04, -10, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 22855 and 595?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 + 4 = -2*l - 4*g, l - 13 = 5*g. Let r = 8 + l. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the second derivative of -4*d**3\/3 - 3*d**2 + 10*d. Let k be z(-2). Let f be (-70)\/(-56)*(-2)\/k. What is the third smallest value in f, -3, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/1820 and -29\/52.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -43 + 47. Let x be (-1000)\/((2\/(-812))\/(q - -1)). Round x to the nearest one hundred thousand.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 856 = -93*w + 97*w. What is the remainder when w is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1032 = 28*u - 26*u. Suppose -31*i = -27*i - u. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4351 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 108111424 to the nearest integer?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (102\/(-9))\/(2\/(-3)). Let z be ((-3)\/9 - -1)\/((-766)\/(-5745)). Solve i = z*y + 12 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oppputqpqqdotdq. Give prob of sequence oq.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2 - 1)*(8*k - 25*k + 8*k)*(2 - 1 - 4).\nAnswer: -135*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1698435?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -94 in -0.003, 1, 3\/787, 2\/3?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -7, 1, -0.02388?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(3\/13))\/((z*z**(6\/5))\/z)*(z\/(z*z*z**(2\/7)))**(2\/3) assuming z is positive.\nAnswer: z**(-376\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a = 8, 3*j - 7*j = -3*a + 6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (42\/(-70))\/((-3)\/(-15))*(-1 - 176\/(-12))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -364162 * -0.2\nAnswer: 72832.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.02 - 246774.\nAnswer: -246774.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*y = -564 - 147. Let n(p) = 5*p**2 + y*p + 8 - 2*p**3 + p**3 - 75*p. What is n(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 11*z. Let d(b) = 3*b**2 + 113*b + 174. Let s be d(-36). Let k(o) = -o + 1. Give s*k(v) - f(v).\nAnswer: -5*v - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1624057962 and 4.\nAnswer: 1624057966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/24*(-6)\/(-4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-1300)\/3)\/5*3. Let g be -2*5\/(y\/108). Let h = g + -4. Which is smaller: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1109 minus -1877054?\nAnswer: 1875945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (247\/(-38))\/((-1)\/(-6)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w + 1. Let t be y(-4). What is the tens digit of (t\/2)\/((-30)\/520)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/4)\/((-42)\/8)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 193, 386, 581, 778, 977, 1178, 1381?\nAnswer: 1586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11 + 2 + 2*f - 29.\nAnswer: 2*f - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 3289890 divided by 1096630\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:45 AM and 10:16 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10.9, 625, 1\/6, -1\/4, 3\/5, 2 in ascending order.\nAnswer: -1\/4, 1\/6, 3\/5, 2, 10.9, 625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 63*k**4 - 3992*k**3 + 531908 with respect to k.\nAnswer: 252*k**3 - 11976*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5) - (sqrt(605)*-2 - sqrt(605))) + -2*sqrt(405) - ((sqrt(5) - sqrt(20)*2) + -5).\nAnswer: 5 + 19*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -30.92 + -0.08. Let r = -28 - w. Put r, 0, 0.09 in decreasing order.\nAnswer: r, 0.09, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 300733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4 - -63?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -1541 (base 7) to base 5\nAnswer: -4432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 49 divide 9845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 798 - 796 + s**3 - 4*s + 4*s**2 - 6*s**2 + 3*s - 3*s**3 in the form h + g*s**3 + p*s + i*s**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1710*k**3*l**3*p**3 - 3*k**3*l*p**3 + 110*k**2*l*p**3 + 22*l**3*p**3 + p**3 wrt k?\nAnswer: 10260*l**3*p**3 - 18*l*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (20\/(-50))\/((-4)\/240). Suppose 30 = 2*x - 3*z - 17, 0 = -4*x + 4*z + 84. What is the greatest common divisor of p and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35063691805 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 10058 - 3?\nAnswer: 10055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5 - -3. Let j = y + -6. Suppose j*d - 4*d + 4 = 0. Solve 0 = -2*u - n - 0*n - 1, u + d*n = 7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((n\/(n*n*n**(-12)))\/n)\/n)\/(n\/(n\/(n*n\/(((n\/(n*n**(12\/5)))\/n)\/n)))))\/(n**(-2))**6 assuming n is positive.\nAnswer: n**(73\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 5\/28 and 41\/3488?\nAnswer: 24416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-3)*h**1*h*h**(-4)*h\/((h**(4\/9)*h)\/h*h) assuming h is positive.\nAnswer: h**(-49\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 36 - 35.9. Which is the closest to 2?  (a) 4  (b) -11  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5 - 3. Let a = -11\/84 + 1849\/168. Calculate the common denominator of 2 - (u - (-25)\/18) and a.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 630963 is divided by 210300?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 52, -3, -5, 5 in descending order.\nAnswer: 52, 5, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 2660400 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**4\/(n**(-1)\/n))\/(n\/(n\/(n*n**(-7)))*((n\/(n\/(n\/(n\/(n\/(n*n**(-8\/7)*n*n)))*n)))\/n)\/n) assuming n is positive.\nAnswer: n**(97\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = w**2 - 1176*w - 658274. Give i(-414).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -937*b - 117*b - 188*b + 33982 = -77798 for b.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -197\/7594620 and -37\/220.\nAnswer: 7594620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -1.1, 2\/71 in ascending order.\nAnswer: -2, -1.1, 2\/71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the second derivative of -69*q + 0 + 0*q**3 - 1\/15*q**2 + 1\/90*q**4. Factor h(l).\nAnswer: 2*(l - 1)*(l + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28278431.\nAnswer: 23, 211, 5827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = x + 1. Let p be a(1). Solve 4*z = -p*u + 7*u - 14, -1 = -2*u - 3*z for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 13127676 and -5034.28.\nAnswer: 13122641.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 199 - 99 = -100*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.15 or -9696054?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*f**2 - 4*f**2 - f**2 + (2 - 2*f**2 - 2)*(1 - 4 + 5) + (-2*f + 2 - 2)*(-2*f + 1 - 1) + 0*f**2 + 4*f**2 - f**2.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1673833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a**19)\/a)\/a**(2\/55)*a*a**(-3\/7)*a**18 assuming a is positive.\nAnswer: a**(14451\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by -14616310.\nAnswer: -1\/14616310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*l - 12 = -12*l. Let q = l + -4. What is the third smallest value in q, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70*l + 5740 = 105*l. What is the remainder when 221 is divided by l?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v + 9. Let d be n(4). Let g be (-3)\/21 + 240\/14. Solve -4*q = d - g for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -2*j**3 - 71*j**2 + 35*j - 3. What is s(-36)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 108561, 108559, 108557, 108555, 108553?\nAnswer: 108551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 7 + 48 = -3*o, 0 = 5*o - s + 103. Let q be 2*(-3)\/9*o. Let d be 5\/(-15) - q\/(-6). Solve -d*j - 5 = 3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3496844 divided by -874211?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (126\/(-30) - -5)*(-15)\/(-2). Suppose 4*m = 3*s + o, 7 = 3*m - 2. Solve -k + x + s = -0*x, -2*k - 4*x = -16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -23, 3\/5, -1\/4, 0, 0.4 in decreasing order.\nAnswer: 3\/5, 0.4, 0, -0.2, -1\/4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 455 and 364.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 4 + 0 + 3 + 0 - 2 + (-1 - 5 + 4)*(1 - 5 + 2) - 1 - 1 + 4)*(22*h - 22*h - 14*h**3).\nAnswer: -112*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is n in 6*n**4 + 2*n**3 - 20*n**2 - 16*n = 0?\nAnswer: -4\/3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1473815?\nAnswer: 5, 7, 17, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-13 - (-3192)\/252)\/(((0 - 3)\/(-126))\/6).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 2*f = 0. Suppose 4*c - 12 + f = 0. Suppose -2\/3*p + 4\/3*p**2 + 0 - 2\/3*p**c = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 237276 and 5904.\nAnswer: 38913264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 132589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33694 is divided by 190.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) 0  (b) -2  (c) 2\/35  (d) 7\/103  (e) -1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1242\/7 + -177. Let t = 0.36 - -0.04. What is the second biggest value in o, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/(-1)*25\/10. Suppose o + 3*m = 21, 0 = f*o - m - 28 + 3. Suppose -s = -5*v - 13, -o*v + 2*v = 8. 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 the common denominator of -15\/4 and -45\/14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*a - 5*a. Let s(m) be the third derivative of m**2 + 1\/12*m**4 + 0*m - 1\/30*m**5 + a + 0*m**3. Find the second derivative of s(r) wrt r.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*g**5 - 5*g**4 + 145*g**3 + 145*g**2 - 680*g + 400 = 0. Calculate g.\nAnswer: -4, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1 - (-1 + 3 - 1). Let k be (-1372)\/(-44) + (-2)\/11. Suppose -4 = k*j - 33*j. Is b at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 17*n + 9 + 7 - 9*n - 17 + 19*n**3 + 5*n to the form m*n**3 + v*n**2 + h + b*n and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q**2 + 32*q + 813. Give s(-18).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 380 or -4\/5?\nAnswer: 380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000000501 to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 16 + -11. Suppose d*t = 25, -2*t + 4 = -4*s + 2*t. Solve -7 + s = -3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1262e5 (base 15) to base 9.\nAnswer: 1583218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - (-2 - (4 - -2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 171 minutes before 4:08 PM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6 and 2\/3 - 276\/(-18)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -19 - -24. What is the lowest common multiple of a and 37?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 582\/7 > 10457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 7, h: 4, m: 6, z: 1}. Give prob of picking 3 m.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2309, -2082, -1857, -1634, -1413, -1194, -977?\nAnswer: -762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 310 minutes before 12:04 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - (2 + -3) - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 = m - 6*m. Suppose 10 = -3*h + m*h. Let w(g) = -g**h + g**2 + 0*g**2 - 2*g**2. Let b(u) = u**2. What is b(w(f))?\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -70 + 74. Find the second derivative of 25*i**3 - b*i + 9*i - 10*i**3 + 7*i wrt i.\nAnswer: 90*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 52.71955t?\nAnswer: 52719550000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 less than -76300?\nAnswer: -76300.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1107322229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3\/5, 0, -7702?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 4*v + 3. Let z be r(-2). Let d(y) = 8*y**2 - 5*y. Let g(o) = -7*o**2 + 4*o. Let i(h) = z*g(h) - 4*d(h). Let a(n) = 2*n**2. Calculate i(a(w)).\nAnswer: 12*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 880486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1031 - 1028. Solve b*c = 0, -200*c + 2 = 2*x - 197*c for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g**2 + 5*g - 1. Let h(p) = -p**2 + 5*p - 1. Let o be (9\/6 + -2)*0. Let u be -8 + (3 - 1) + o. Let w(z) = u*i(z) + 5*h(z). Calculate w(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6055.508304 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15142 is divided by 1513?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 3 - 2 = 0. Let o(w) = 7*w**2 + 1. Let f(i) = -7*i**2 - 1. Let g(v) = -4*f(v) - 5*o(v). Calculate g(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = 3*z - 6 - 3, -2*z + 17 = 3*t. Suppose -3*g + 4*d + 14 = 0, -t*g - 2*d = 3*d - 50. Suppose -5*s = -g*s. Are 0 and s equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(17)*-1 - (4 + sqrt(153)).\nAnswer: -4*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -9 + 7. What is the units digit of 2 - (0 + 0 + c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/2*(-3)\/(-9)*-2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -537101 (base 8) to base 6.\nAnswer: -3504145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (40\/(-15))\/4*30\/4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 35*j - 139. Let g be s(4). Calculate the highest common factor of g and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 11, c: 5, h: 1}. What is prob of picking 1 h and 3 c?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 141 + -161. Let i(y) = -5*y**2 + 80*y - 24. Let l(j) = -j**2 + 3*j + 1. Let s(u) = w*l(u) - 5*i(u). What is c in s(c) = 0?\nAnswer: 2\/9, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 711797?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 361.5193 nanograms to tonnes.\nAnswer: 0.0000000000003615193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is q in -q**5 - 10834*q**4 + 62394506*q**3 - 74251189656*q**2 + 148315239135*q - 74126433150 = 0?\nAnswer: -15246, 1, 2205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.2 at most -4.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 35 times 2.5\nAnswer: 87.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6815 is divided by 2269.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 760 and 503040.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -37919, -151650, -341193, -606542, -947691, -1364634?\n\"Answer: k**3 - 37912*k**2 - 2*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 354446295 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -183, -1562, -2941, -4320?\nAnswer: -5699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 83 + 141 - 29*i - 174. Give y(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 - -39. Suppose q + 4*q + g = h, 2*h - 4*q = 46. Suppose -4*v + 22 = v - 4*r, 13 = 2*v - 3*r. Solve v*j - h = 4*p - 3*p, -3*j = -4*p - 32 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 4*m**2 + 2*m. Give x(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 48 - 32. Let w = g + -10. Let m = 5 - w. Sort 0.1, 5, m in ascending order.\nAnswer: m, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.0542 and 14.\nAnswer: -0.7588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 34*d**2 + d - 3 + 5 - 33*d**2 + 4*d + 6. Calculate l(-7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -5*a + 11. What is z(5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - (0 + -8 + (52 - 52) + 14).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o + 196 = -10*y, 5*y - 7*o - 867 = -953 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 1824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the first derivative of -c**5\/6 + 85*c**4\/24 - 25*c**3\/2 + 215*c**2\/12 - 35*c\/3 + 95. Determine m so that o(m) = 0.\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1251070 = 3*o + 2*d, 4*o - d = 349258 - 2017355. Let r = -248024 - o. What is r rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/34)\/((31\/2480*-16)\/((-40)\/150))?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (12256\/24)\/(10\/105).\nAnswer: 2, 7, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 350844 from -4.\nAnswer: -350848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 129*t**2 - 69*t**2 - 5*t**3 - 76*t**2 in the form k*t**3 + l + a*t**2 + p*t and give a.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 183 a factor of 21850338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 748 - 4992 = -4*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23999 is divided by 7996?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 14 = -3*u. Let v(f) = 74*f - 179. Let p be v(18). Suppose 13*n - 121 = p. Calculate the greatest common divisor of n and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -407*c - 2*u + 26 = -408*c, -4*c - 71 = -5*u for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*a + 4 - 4)*(3*a - 2*a + 0*a)*(2 - 2 + 2).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -c - 33 + 14 - 606*c**3 + 6 + 10.\nAnswer: -606*c**3 - c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 111 = 2*g - 15. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*k - 15*k + 22*k.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 678*m - 3691. What is the tens digit of q(23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - t - 170 = 0. Let o = -14 - t. Suppose 4*y + y = o. Solve -x = -0*x + y for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7 - -9. What is the lowest common multiple of 9 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 214433\/2 + -107206. Solve -15\/4*s**4 - 3\/2*s**2 + 39\/4*s + 21\/4 - x*s**3 + 3\/4*s**5 = 0 for s.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -3*p + 6, 0 = 2*d + 4*p - 6*p. Suppose d*k - k = -8. Let c be (8\/(-3))\/k*3. Solve -11 = j - c*s, -j - j + 3*s = 17 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 270254.\nAnswer: 2, 163, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*h + 22*h - 40 = 0. Let p = -6 - 20. Let l = p - -42. Solve 0*o - l = -h*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) -3  (b) 3  (c) 2\/9  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 8 in 4, 2\/3, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.188244 nanograms to kilograms.\nAnswer: 0.000000000008188244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1737433121?\nAnswer: 53, 59, 157, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8244 - -11585. What is the smallest common multiple of z and 6?\nAnswer: 20046","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) be the first derivative of c**4\/4 - c**3\/3 - c**2\/2 - 2*c + 9. Let j be p(0). Sort j, -3, -5, 4 in ascending order.\nAnswer: -5, -3, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 4.217199ml?\nAnswer: 0.004217199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 91\/(-26)*158\/28 and 79\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 188 - 33*n**3 - 43*n**3 - 185 - 3*n**4 + 17*n**3 in the form y*n**2 + i + k*n**4 + b*n**3 + g*n and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 2642 take away 0.5514?\nAnswer: 2641.4486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -15*j**3 - j**2 + j + 1. Let v be x(-1). Let f be 3 - (-7)\/(v\/(-4)). Solve -s - f + 0 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 459 and 18084702.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = y - 7. Let z be v(10). Suppose -z*u = 3*l - 6*l - 18, 0 = 5*l - 2*u + 18. Let m be ((-1)\/2)\/(l\/16). Solve -k = m*k + 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 683930 - 654.\nAnswer: 683276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 249250 divided by -49850?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 11 (base 2) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -2*c + 2. Calculate the lowest common multiple of 10 and u(-7).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -2, -77, -1, 5 in descending order.\nAnswer: 5, 1, -1, -2, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -53 - (-19 - (26 - 9))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -15, 18379, 5, 0.8?\nAnswer: 18379","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -20, -44, -66, -74, -56?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (196\/6)\/(((-3)\/5)\/(1557\/1730)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3 - 45?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/(3\/((-9)\/2)). Let w(u) be the first derivative of 1\/2*u**n + 0*u**2 - 1\/2*u - 3 + 1\/4*u**4. Determine t so that w(t) = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vivi when four letters picked without replacement from iivv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = z + 23*d - 22*d, z - 5*d = -6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4130560 divided by 32.\nAnswer: 129080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -10 + 14. Suppose -3*b + 4*z = -261, 6*b + i*z - 467 = b. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, i: 1, r: 1}. What is prob of sequence ro?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -8*h**3 - 15*h**2 - 252. Let y(x) = 7*x**3 + 15*x**2 + 251. Let m(f) = -6*a(f) - 7*y(f). Let n be m(-16). Solve 5 = 4*z - n for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aal when three letters picked without replacement from lllllasssalggmmmmk?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -211 - -45. Let f = -163 + m. Let o = f - -328.99999827. Round o to seven decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*s - 5*s - 3*s + 3)*(2 - 2*s**3 - 2).\nAnswer: -2*s**4 - 6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n**2 + 11. Suppose -16*z - 52 = -4. Calculate the least common multiple of 62 and q(z).\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -28 and 45 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 124175260?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -969420 divided by 80785\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 944 a factor of 5992512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 243197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/2168 and 43\/136.\nAnswer: 36856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 2, w: 2}. Give prob of sequence ttww.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 48 and 758040?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((1232\/294)\/11)\/(42\/931). Factor -14\/9*n**4 - 86\/9*n - b*n**3 - 124\/9*n**2 + 2\/9*n**5 - 22\/9.\nAnswer: 2*(n - 11)*(n + 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 77998 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bqsw when four letters picked without replacement from sobswffwqosswsosff?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 39563 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rffrrrr.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:19 AM and 5:11 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 48200910881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the third derivative of -7*o**4\/12 - o**3 + 6*o**2. Let u(j) = 5*j + 2. Let d(f) = -f + 14. Let n be d(10). Give n*v(z) + 11*u(z).\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 407*k**4 - 5*k**2 - 5*k - 1097. Let v(x) = -202*x**4 + 3*x**2 + 3*x + 548. Let z(s) = -3*h(s) - 5*v(s). Differentiate z(b) wrt b.\nAnswer: -844*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*f**3*s**3 + f**2*s**3 + 20*f**2*s + 2*f**2 + f + 1230*s**3 - 2*s wrt f?\nAnswer: 24*f*s**3 + 2*s**3 + 40*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 136171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -132 - -236. Let n = g - 34. Let j = 94 - n. Is j a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 114 and 48412.\nAnswer: 145236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 3*b**2 + 2. Suppose -26*a + 25*a = -18*i + 4078, 494 = 2*i + 5*a. What is the remainder when i is divided by h(-3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33416 <= 33416?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in twenty-one eighths of a millimeter?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/3, -3\/2, 0.11, 0.3, -314440, 1?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -429 + 746. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kldmw. What is prob of picking 1 k, 1 w, and 1 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1304940?\nAnswer: 2, 3, 5, 7, 13, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, 1\/6, 14301, 0.1, 2\/5 in descending order.\nAnswer: 14301, 7, 2\/5, 1\/6, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = -0*k - 4*s - 18, 0 = 4*k - 4*s - 48. Suppose k*q - 140 = 5*q. Let g = -105 + 147. What is the highest common divisor of g and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 8*-12*(-5)\/320. Let b be (2 - 1)\/((-1)\/(-6)). Suppose 0 = -b*t + t + 10. What is the smallest value in 1\/2, t, l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -6*k**2 + 3*k + 1. Let i(u) = 29*u**3 - 1 + 19*u**3 + 25*u**3 - 74*u**3 - 2*u + 7*u**2. Give 2*h(b) + 3*i(b).\nAnswer: -3*b**3 + 9*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1188736789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:01 PM and 8:54 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.01, -5\/8, 2, -0.1 in ascending order.\nAnswer: -5\/8, -0.1, 0.01, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -161\/2 - -86. Suppose 78*b + 58 = 604. Is a at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56 a factor of 952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 575, -2\/13, -0.2 in ascending order.\nAnswer: -0.2, -2\/13, 575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 34 + 12*c - c**2 - 12*c in the form d*c**2 + q + k*c and give q.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m = 111 - 255 + 129 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d - 16 = 2*b + 7, -3*d = 5*b + 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y**3 + 26*y**2 - 71*y + 48. Let m be g(23). Suppose 2*x - 2 = 2*a - 6, -2*a - m*x - 4 = 0. Solve 13*s - 4*s = a for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 170*r**4 + 26*r**3 + 2*r**2 + 165*r**4 - 342*r**4 - 25*r**3 - 6*r to w*r**2 + q*r**3 + z + i*r + f*r**4 and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 6, y: 7, l: 6}. Give prob of sequence yy.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 56308.27 rounded to the nearest 10?\nAnswer: 56310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 10111278?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -182066 - -292159. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 92\/161 + (-5)\/21.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (-3 + sqrt(45) + -2)**2 + 3 + -2.\nAnswer: -30*sqrt(5) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(84)\/(sqrt(48)*-6).\nAnswer: -sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 114953084 a multiple of 5549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5 and -117.2.\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - c - 1 = -3, -4*q - c + 2 = 0. Let m(j) = 4*j + q*j - 3 + 3*j - j**2. Let r be m(6). Solve r*k = k - 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -157855809 + -10?\nAnswer: -157855819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -158*c + 56 = -157*c. Let s = c + -56. Suppose s = 12*i + 1153 - 97. Is -88 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 1807?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2114\/(-350) - -15 - (1 + 8). Sort -0.2, -4, 1\/3, u, -27 in descending order.\nAnswer: 1\/3, u, -0.2, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqttmckkqctmtktqqttt. What is prob of sequence tqmm?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/((c**(-2\/11)*c)\/c))\/c**(-2\/3)*(c*c*c**0)**(-1\/5) assuming c is positive.\nAnswer: c**(239\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -32 - -33. Let v be (d*-5)\/((-192)\/24). Is v bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 22110, 25847, 29584, 33321, 37058?\n\"Answer: 3737*i + 18373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.022951 - -3?\nAnswer: 3.022951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(3 + (6*(sqrt(171) + (sqrt(171) - sqrt(171)*4 - sqrt(171))))\/((sqrt(81)*4)\/sqrt(9))))**2.\nAnswer: -432*sqrt(19) + 6300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 7*d + 1. Let c(r) = -2*r + 6. Let b be c(4). Give i(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1469447*r**2 + 5 - 1469426*r**2 + 2938859*r**2 - 5.\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 10988*z**2 - 10987*z**2 + 1.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -13111 - 17.\nAnswer: -13128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -45 + -41 + 42 - -90.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1278175 and 6.\nAnswer: 7669050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8743 + -2593. Round l to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 take away -0.065?\nAnswer: -9.935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x + 2*x - 3 - 5*x. What is the tens digit of y(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2561*v**3 - 2666 wrt v?\nAnswer: 7683*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 96214 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10 + (-3 - 11) - -9) + -2 + -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 39176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 3048118 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1008 divided by -6135?\nAnswer: -336\/2045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*r + 2*r = -54. Let i be (2 - 0)\/(r\/24). Solve 0 = 6*b - 2*b + i for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (-105)\/20 - (-2)\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.7 + 0.3. Let j = 27.3 + -27. What is the biggest value in -5, x, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.11509528 to 2 decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 4714.821 to the nearest ten.\nAnswer: 4710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00351698 rounded to four dps?\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 1070 divided by -214\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 24\/16*(-76)\/(-6). Let b = r - 19. Let m = 1200 - 1198. Solve b = 5*y - 2*n + 31, -y - m + 6 = 3*n for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 4 - 2 = 0. Let o be (y + 2)*1\/(-2). Suppose -o*h = 2, h = 3*d + 10 - 44. Calculate the remainder when 41 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11058741443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3 - -6. Let i be 6\/1 - 1 - 5\/5. Suppose -3*t + 22 = c*z + 2*t, -z + i*t + 30 = 0. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 265.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 224637.99 months in centuries?\nAnswer: 187.198325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 66*z + 63 - 262*z - 63.\nAnswer: -196*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(72\/(-6)))\/((11\/(-2))\/(-1))\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*k - 4*f = -25*k - 6, 4*k + 6 = 2*f for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*g - 301 = -g. Let x = 42 + g. Let d be 3 - (3 + 1\/(x\/1700000)). What is d rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 205114, 410231, 615350, 820471, 1025594, 1230719?\n\"Answer: x**2 + 205114*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -2*y**2. Let h(l) = -55757854*l**2. Calculate h(c(g)).\nAnswer: -223031416*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -1 + 2*p**2 + 4*p - 3 + p**2. Let w be b(-6). Suppose 0*v - 20 = -h - v, -4*h + 3*v = -w. What is the smallest common multiple of h and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x**2 - x + 1. Let h(s) = -3*s**2 - 6*s + 5. Let v = -15 - -10. What is v*p(w) + h(w)?\nAnswer: 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) be the second derivative of -x**3\/6 - 71*x. Let k(j) = 6*j. Let z be 35\/(-4) + 3\/(-12). Determine z*t(m) - k(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 76 = -2*g + 3*y, 3*g = -5*y - 90 + 14. Let b = g + 55. What are the prime factors of b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1571 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 273668 is divided by 136772?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 6*y**2. Let h(n) = -181*n**2. Give h(w(l)).\nAnswer: -6516*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 108572 - 54051. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 60513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 0*m + 2*m - 3 - 5*m. Let q(s) = s + 3. Let n be q(-6). Let g be r(n). Solve z = g*z - 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*v + 4*v + 11 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -62 - -59. Let l be (1 - 0)\/(1*(r - -1)). Which is the nearest to l?  (a) 13  (b) -0.4  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 112*b**2 + 183.\nAnswer: 224*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -404*g**2 - 177?\nAnswer: -808*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 796711675?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -30.73 - 0.27. Let b = -33.778 + 2.438. Let k = z - b. What is k rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s - 5*p - 4138 = -4095, 0 = -4*s + 4*p + 56 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -86*v**3 - 14*v**4 - 86*v**3 + 172*v**3 + 10*v + 8*v - 224 wrt v.\nAnswer: -56*v**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 1646, 3227, 4808?\n\"Answer: 1581*r + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -2, -0.1, -1 in ascending order.\nAnswer: -2, -1, -0.4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r*r**(-3\/5))\/(r**(-2\/49)\/r))\/(r*r**(7\/5))**(-41))**(-26) assuming r is positive.\nAnswer: r**(-635986\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 153204 = 16*g - j, 15*j - 20*j = 5*g - 47855. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3*(-3)\/(9\/(-2)). Suppose -3*a + 12 = 0, 2*x - 5*x - m = -2*a. Is x\/(3 - 1)*233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**4 - 100*t**3 - 792*t**2 + 25168*t + 340736.\nAnswer: -2*(t - 16)*(t + 22)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v**2 + 11*v - 13. Let c be d(9). Let y be 7 + 0 + c + -8. Solve -5*r + y*n + 19 = n, -n = -4*r + 11 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) be the third derivative of h**5\/60 + 7*h**4\/24 + 2*h**3\/3 - 2*h**2. Suppose -12 = 2*j + 4*a, 0*j + 24 = -4*j + a. What is k(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 2, a: 2}. What is prob of picking 1 n and 2 a?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 20177904 and 258?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gpgzoggxzonzggnzg. What is prob of sequence zzxo?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the first derivative of c**2\/2 - c + 4. Let k(w) = -5*w + 8. Suppose 3*g - 24 = -6. Determine g*b(z) + k(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000839959 rounded to seven decimal places?\nAnswer: 0.000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 6*q**2 + 3*q + 8. Calculate the remainder when r(-6) is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 1 t when two letters picked without replacement from tafttllccccf?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**4\/3 + 10*w**3\/3 - 47*w**2\/3 - 120*w + 432.\nAnswer: (w - 4)**2*(w + 9)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 255 minutes before 7:33 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 2*d**2 + 93*d - 1238. Calculate y(11).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1 + -19696b?\nAnswer: -196970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-13 - 417)*2\/(-5). Let g = y + -85. Suppose -271 + g = -4*q. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-2\/5)*f**(-9)*(f*f**(-3)*f)**(3\/46))**(-27) assuming f is positive.\nAnswer: f**(58779\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put together -13.5 and -11848133.\nAnswer: -11848146.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -53  (b) -0.11  (c) -12  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-3721 + 3736)*4\/30. Let p(h) = 3*h**2 - h. Let f be p(-1). Solve -3*w - 14 = -8*w + c*s, -2*w = f*s + 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0005980856 to seven decimal places.\nAnswer: 0.0005981","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1941*u = 6158*u - 362662 for u.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -2*i**3 + 33*i**2 - 4*i - 11. Is c(16) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 77328522 to the power of 1\/2, to the nearest integer?\nAnswer: 8794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 2*g - 3*g + 102, 3*q = g + 318. Let a = q - 51. What is the remainder when a is divided by 9*2\/12*280\/30?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -127\/2460 and 79\/100.\nAnswer: 12300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 3*k**2 - 1190745. Let f(s) = -2*s**2. Give x(f(q)).\nAnswer: 12*q**4 - 1190745","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i**2. Let t be x(4). What is the remainder when 46 is divided by 3*t\/(-12)*-4?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 552491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 18.96 rounded to zero decimal places?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 37054 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -11*h**3 + 17*h**2 + 18*h - 14. Let c(a) be the third derivative of -a**6\/30 + a**5\/10 + a**4\/4 - 5*a**3\/6 + 9*a**2. What is -17*c(w) + 6*p(w)?\nAnswer: 2*w**3 + 6*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 23295.2909 rounded to the nearest 100?\nAnswer: 23300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 72565 is divided by 9067.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -16 - -15.77. Let s = -0.2299905 - t. What is s rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 10*z + 3. What are the prime factors of m(3)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5200906 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3 - -2.1. Let w = 0.5 + m. Let x = -7\/13 + 23\/91. Sort 1\/3, x, w in increasing order.\nAnswer: w, x, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c - 2. Suppose -4*i + 21 = g, -4*g = i - g - 19. Let u be k(i). Is ((9 - u) + 0)*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 288413.\nAnswer: 288413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -156, 32, 426, 1128, 2240?\nAnswer: 3864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 310693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 901906.64 to the nearest 1000.\nAnswer: 902000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2199*k = -1841*k + 6086 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 104 + -833\/8. Which is the third biggest value?  (a) u  (b) -0.1  (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13130.\nAnswer: 2, 5, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 7060772150 to the nearest integer?\nAnswer: 1918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**3 - 3*j**2 - j - 4. Let w be (-1)\/(-2) - 15\/6. Let c be w\/(-1)*3\/2. Give o(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) 0.1  (c) -4186375  (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 28\/(-21) - (-44)\/6. Solve 10 = -3*x - 5*d, p*x + 2*d = 2*x + 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve u**4 - 474*u**3 + 4649*u**2 - 4176*u = 0.\nAnswer: 0, 1, 9, 464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 170 from -3677917.09.\nAnswer: -3678087.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 164858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -17984*w**3 - 9*w**2 - 2*w - 449607.\nAnswer: -53952*w**2 - 18*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 11*p**4\/5 + 51*p**3\/5 + 46*p**2\/5 - 24*p\/5.\nAnswer: p*(p + 2)*(p + 3)*(11*p - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**3\/17 + 8038*d**2\/17 - 307610*d\/17 + 2929154\/17.\nAnswer: 2*(d - 19)**2*(d + 4057)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 384 is divided by 68?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by -172885\nAnswer: -4\/172885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (87 - 87 + 92*m**4)*((1 + 2 - 5)*(0*m - 4*m + 3*m) + (2 + 2*m - 2)*(-1 - 1 + 3) - 4*m + 5*m + 0*m - 6 + 6 + 4*m + 0*m - m + 5*m)*(-2 + 2 - 2).\nAnswer: -2392*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*o**2 - 4*o**2 - 6*o**2)*(4*o**2 - 3*o**2 + 0*o**2) - 467*o**4 + 232*o**4 - 340*o**3 + 234*o**4.\nAnswer: -9*o**4 - 340*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 16759210, 16759202, 16759180, 16759138, 16759070?\n\"Answer: -c**3 - c**2 + 2*c + 16759210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 236 and 10?\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 3 + 0 = 0. Suppose 2*g + 551 = y*g + i, 3*i + 1641 = 3*g. Suppose 3*d - m = -0*d + 398, -5*m = -4*d + g. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -202 in -2, 1\/7, -8\/9, 1\/6, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 445741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + 0.15955.\nAnswer: -4.84045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -82*d + 3. Let a be p(-2). Suppose -2*m + 31 = -a. Let i = -59 + m. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -3*h + 57. Give j(20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 103\/(-4) - 3\/(-12). Let c = q + 26. Factor 0 - c*s - 1\/2*s**3 - s**2.\nAnswer: -s*(s + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.3 + 0. What is the biggest value in 3, 6, -0.3, c?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21730335962 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**3 - 4*o**2 - 6*o - 3. Suppose 0*j - 2 = 2*i - 3*j, 0 = 4*i + 3*j - 32. Determine n(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 123045?\nAnswer: 3, 5, 13, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/5*t**2 - 12\/5*t + 18\/5.\nAnswer: 2*(t - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -147, -150, -165, -198, -255, -342, -465?\n\"Answer: -o**3 + 4*o - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*v**3 + 11*v**4 + v**2 - 25*v**4 + 16*v**4 to a*v**3 + t*v**4 + u*v + q + j*v**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -773, -7, -244.\nAnswer: -773, -244, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from hwhwhwwwhh?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 592 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.32 - -23.78. Let c = b + 0.9. Let n = c - 29. Put 1, 0.9, 4, n in decreasing order.\nAnswer: 4, 1, 0.9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 331 a factor of 536155786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 6}. What is prob of sequence ii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = n - 99, -170 = -4*n + 3*t + 243. Suppose 4*x = -106 + 590. Let y = x - n. What is the highest common divisor of y and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 42, 49, 56, 63, 70, 77?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y**3 + 7*y**2 + 9*y - 8. Let i be n(8). Suppose i = 7*v - 5*v - 8. Let u = v + 6. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 407138+4\nAnswer: 407142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -41600 and -125.\nAnswer: 5200000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x*x\/((x\/(((x\/(x\/(x\/x**8))*x)\/x*x)\/x))\/x)*x*(x*x**(-2\/3))\/x*x**(-3)\/(x**(-7)*x) assuming x is positive.\nAnswer: x**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -39, -12, 29, 84, 153?\n\"Answer: 7*a**2 + 6*a - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 52.8536232ms in weeks?\nAnswer: 0.00000008739025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 90\/9*((-64)\/(-8))\/32*(-276)\/(-115)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -41*n + 41*n - 36*n**3 + 58*n**3.\nAnswer: 22*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 623 (base 7) in base 3?\nAnswer: 102112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1617 and 33379.\nAnswer: 31762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 357.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 11 (base 3) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*r - r - 556 = 40*r - 4*y, 17 = -r + 3*y for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 95*m + 2 - 2 = -163*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(2\/5)*c)**(-46))**(-2\/27)*((c*c**(2\/5)*c)**(-47))**(1\/59) assuming c is positive.\nAnswer: c**(22768\/7965)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 20*c**2. Let y(q) = 13*q**2 - 25*q**2 + 11*q**2. Calculate y(r(l)).\nAnswer: -400*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o + 6. Let g be t(-6). Let v be (-11)\/44 + (-10)\/(-8). Sort g, v, -4 in increasing order.\nAnswer: -4, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 6942 and 34001308.\nAnswer: 34008250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/2, 2\/17, 47?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1951*f + 3473*f + 0 + 3112*f + 0 + 3541*f)*(-8 + 8 + 6*f**4).\nAnswer: 72462*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 times -7404?\nAnswer: -118464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1 + 30)\/(-1 + 2). Let l = 47 - j. Calculate the highest common factor of l and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - 5 - (40\/35)\/(5\/35).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the third derivative of -d**5\/60 + 4*d**2. Let z(v) = -2*v**2. What is g(z(l))?\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-18)\/(-10))\/(2\/30) is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of d**4 + 4*d**3 - 23*d wrt d.\nAnswer: 12*d**2 + 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 495\/5 + (3 - 8). Let h = -91 + o. Solve 1 = -h*k + 10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -j + 2*x, 3*j = -j + 3*x + 5. Suppose -5*r = -4*m - 6, 5*m - r + 1 = 2*r. Suppose t + m = -n + j, -5*t + n = -32. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 - ((-2 - -19) + -5)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -28.007 - 152.203. Let v = -181 - h. What is v rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 7 - 4. Let a = p - 7. Which is smaller: a or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/(-8) + (-479)\/4*-1. Calculate the greatest common factor of c and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 320725178?\nAnswer: 2, 829, 193441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*v + 3*v - 4*v)*(-1 + 2*v**2 + 1 + (3*v - 2*v + 0*v)*(v + 2*v - v) - 3*v**2 + v**2 - 4*v**2).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0 + (12\/21)\/(-4). Which is the closest to 2?  (a) 4  (b) -2  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -54642 by 10.\nAnswer: -27321\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*q**5 - 6*q**5 + 4*q**5)*(-1 + 3 - 3) + (4 - 5 + 2)*((q + 2*q**3 - q)*(-3*q**2 + 0*q**2 + 5*q**2) + 187*q**5 - 48*q**5 + 371*q**5).\nAnswer: 512*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-48))\/(1\/(-4)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35215*i + 44 - 44 + 0*i**2 + i**2 - 37614*i.\nAnswer: i**2 - 2399*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = q - 5, 13*b - 98*q = 14*b - 101*q + 8 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -n - 2*n**2 - 8*n + 16 + 0 + 7 + 4*n to the form d*n**2 + w*n + y and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2.63107394 + -2.631. What is w rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3085721473.\nAnswer: 3085721473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-18)\/4)\/((-222)\/3848). Calculate the highest common divisor of 39 and x.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 499174668 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 3, c: 5, z: 6, j: 1}. Give prob of picking 2 c and 1 j.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 4, b: 1, e: 2}. What is prob of sequence beoo?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: bf1a4 (base 16) to base 4\nAnswer: 2333012210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 0*x**2 + 4*x**2 + 3*x**5 + 7*x**5 wrt x.\nAnswer: 600*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.5 * -405.5.\nAnswer: -202.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 + 1 = -5*v. Let o(f) = f**3 - 9*f**2 - 9*f - 7. Let n be o(10). Suppose 3*p = 18 - n. Solve -p*u = 5*l + v + 29, 3*l - 2*u = -3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 1252*n + 51317. Give o(-41).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -2*n**2 - 18*n - 42. Determine u(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.0023 and -110?\nAnswer: 110.0023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/27 - (-24455)\/(-72360).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that 2*x**5\/7 - 96*x**4\/7 - 31410*x**3\/7 - 31312*x**2\/7 = 0.\nAnswer: -103, -1, 0, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 29803 + -16643. Does 94 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5 - -8. Suppose -2*h = -3*h + q. Suppose y - 46*i = -51*i, -3*i = -2*y + 13. Solve 4*g + 3 = -y*v - 20, 2*g + 13 = -h*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6 + -8. Calculate the common denominator of ((-4)\/a)\/((-15)\/24) and 50\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/(-4) - (-1)\/4. Let n be ((-16)\/(-22))\/(34\/187). What is the third derivative of i**4 + x*i**4 + 11*i**n + 3*i**2 + 8*i**2 wrt i?\nAnswer: 288*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 26\/(-5) - 4\/5. Let u be 3 + k*4\/8. Solve -x - 2*x + 12 = u for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*j + 38 - 23 + 21)*(36*j**3 - 1390*j + 1390*j).\nAnswer: -108*j**4 + 1296*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/21  (b) 8\/11  (c) 784\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 206436350 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -443, -476, -567, -746, -1043, -1488, -2111, -2942?\n\"Answer: -5*o**3 + o**2 - o - 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 + -13 - ((1 - -10) + 5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 3\/378560 and -25\/2197.\nAnswer: 4921280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -4321 + 0.2?\nAnswer: -4320.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -f**2 + 8*f + 51. Let k be t(12). Factor -25*j**4 - 10*j**k - 10*j**2 + 23*j**4 + 39*j + 36 + 8*j**2 + 3*j.\nAnswer: -2*(j - 2)*(j + 1)*(j + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 57759 is divided by 2221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 121 + -131. Let v be (2\/(-4) + 1)\/(m\/80). Put 2, -11\/4, 5, v in increasing order.\nAnswer: v, -11\/4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 904104 and 6?\nAnswer: 904104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 22 + -13. Let l = 1 + -3. Let s be -22*(l - 10\/4). Calculate the greatest common divisor of s and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/1*6*6\/24?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 873 - 348. Let l be (h\/140)\/(-1 + (-41)\/(-40)). What is the greatest common divisor of l and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the third derivative of 7*y**4\/24 - 5*y**3\/6 - 5*y**2. Let i be b(7). Let f = -30 + i. Is f a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2089791 to the power of 1\/2, to the nearest integer?\nAnswer: 1446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 96300 and 164352.\nAnswer: 12326400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:09 AM and 2:09 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 6 + (-22 - -21) - -14\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -302*j - 3433 = -33*j + 64 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 + -12?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**23\/((q*q*q**(-21))\/q))\/(q**(13\/7)*(q**5*q)\/q) assuming q is positive.\nAnswer: q**(253\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.2 - 0.3. Suppose d - 4*k - 36 = -3*d, 2*d - 28 = 4*k. Let c be (-5 - -4)\/(14\/d). What is the third smallest value in c, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/2*(60\/110)\/(-3).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 149123?\nAnswer: 13, 11471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 + 14. Suppose l = 5*b - 23, -5*l + 2*b = -3*b + 15. What is the remainder when l\/9 - ((-1792)\/36 - 7) is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -130.201132 + 2.200952. Let y = k - -128. What is y rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) be the second derivative of 1\/6*w**4 - 1\/20*w**5 + w**2 + 0 + 2*w + 1\/2*w**3. Let x be y(3). Solve -x*p = 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 17*z + 4. Suppose 128*v = 130*v + 14. Let r(x) = 34*x + 7. Let p(q) = v*b(q) + 4*r(q). Let u(w) = -2*w. Determine p(u(f)).\nAnswer: -34*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -i**3 + 297*i**2 - 2323*i + 3192. What is a(289)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -135, 0.3, -1\/6, 5 in decreasing order.\nAnswer: 5, 0.3, -1\/6, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 222, 233, 240, 243, 242, 237?\n\"Answer: -2*n**2 + 17*n + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5232873 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: Suppose -6 = -s + 4*n + 3, 2*s = n - 3. Let j(r) = 3*r + 4. Calculate the remainder when j(5) is divided by 2\/s + (-34)\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 7*s + 4. Let m = 654 - 555. Let x(p) = -176*p - 99. Give m*q(i) + 4*x(i).\nAnswer: -11*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d + 47. Calculate the remainder when f(34) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*sqrt(204)*2 - sqrt(204)) + sqrt(204) + sqrt(204) + (sqrt(204) - sqrt(204)*-3)*-6)\/((sqrt(72) - (sqrt(72) + sqrt(72) + -2*sqrt(72)*-3))\/sqrt(6)*-4).\nAnswer: -15*sqrt(17)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -19555 + 19618. Calculate the remainder when 799 is divided by n.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/7 - (-68)\/7. Suppose -8 = 4*c - 0*c. Let y be (3 + c)\/((-4)\/(-20)). Solve 0 = 3*h - y*u - p, -h + 5 = -u - u for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -246608, -246462, -246218, -245876?\n\"Answer: 49*n**2 - n - 246656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 27, -2, -11, 1, 94.\nAnswer: -11, -2, -1, 1, 27, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-2)\/6)\/(11\/(-264)). Let p = i - 6. Suppose -m + 2*q = -0*m + 3, 5*m = 4*q - 15. Sort p, 3, m in increasing order.\nAnswer: m, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 11375 and 50505?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(76)*-3)\/(sqrt(16)*-2).\nAnswer: 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/30*2*-6*(-15)\/20.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2409 - 2409 - 6*n**2 + 0*n**2.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**3 + 10*r**2 + 3*r. Determine s(-10).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14796 = -109*b + 118*b. What are the prime factors of b?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -19*a*b**3 - 43*a*b**2*t**2 - 4*a*b*t**2 + 2*a*b - a - b**3*t**2 - 3*b**3*t + 5*t wrt t?\nAnswer: -86*a*b**2 - 8*a*b - 2*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3\/(-15) - (-1)\/5. Suppose m*k + 4 = -4*k. What is the units digit of 1\/((-2)\/(-4)) + k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that 212*d**2 - 34305*d + 192348 = 0.\nAnswer: 1233\/212, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 193675309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1\/((-1)\/(-3)) - (-23 - -41). Sort 8, g, 2\/9, 0 in increasing order.\nAnswer: g, 0, 2\/9, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 16 = -5*l, -5*n - 4*l - 13 = -33. Solve -3*r - n = -4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38 + 3*c**2 - 48 - 7*c**2 + 3*c**2 + 109.\nAnswer: -c**2 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 408417271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -333096 divided by 27758?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 320\/59 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4698 and 23860504?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 11 + -16. Let n = 5 + t. Which is the smallest value?  (a) -1\/2  (b) -5  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-16)\/(-6) - 2\/3. Suppose 0 = -p - 4*n + 6, 3*p + a*n = -2*p + 12. Is (11\/p)\/(2\/12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 9779 or 1?\nAnswer: 9779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 3169*f**2 - 163*f - 729. Is p(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15649458 a multiple of 2211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00004926391 rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 597 (base 11) in base 3?\nAnswer: 222100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1344 and 6295800?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, 39, 2\/5, 5, -56, 3, 3\/5 in decreasing order.\nAnswer: 39, 5, 3, 3\/5, 2\/5, -0.4, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 681 minutes after 10:36 AM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 3362550 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: Expand (19 - 19 - 26*u)*(-2*u + 40 + 423*u**3 - 425*u**3 - 12).\nAnswer: 52*u**4 + 52*u**2 - 728*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes before 5:36 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.17 and 0.03.\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 28868587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 490402437.\nAnswer: 3, 7, 3336071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5372455 is divided by 5372450.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q**2 + 14*q - 9. Determine d(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:11 PM and 10:15 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -n**3 + 5*n**2 + n - 1. Let c(i) = -i**3 - 11*i**2 - i - 7. Let m be 2\/6 - (-68)\/(-6). What is the least common multiple of c(m) and r(3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rc when two letters picked without replacement from {a: 1, z: 1, u: 1, d: 1, c: 1, r: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the first derivative of 5*t**2\/2 - 101*t - 5. Let a be r(21). What is the greatest common factor of a and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9\/271 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*c - 4*j, -2*j + 9 = 5*c - 6*j for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 20.5 - 17. Round x to 0 decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 23.73 + -23.83. What is the closest to h in 0.4, 0.02, -2, 2\/11?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 372186 to the nearest integer?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d**3\/13 - 42*d\/13 + 40\/13 = 0. Calculate d.\nAnswer: -5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*r = -17*r + 532. What is the second derivative of -4*a - r*a**4 + a + 115*a**4 wrt a?\nAnswer: -216*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*((-30)\/90)\/((-1)\/9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -28 - -79. Let i = z + 21. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*p + 13*s - 9*s, 79*s - 42*s = -7*p + 32*s - 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 7*o**2. Let z(t) = 2452757*t. Calculate k(z(q)).\nAnswer: 42112118307343*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -61.5*273\nAnswer: -16789.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q**3 + q**2 - q + 415. Let o be n(0). Let a = o - 216. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 32200112 + -2?\nAnswer: 32200110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/((-1)\/(1 + -2)). Let l = -7111\/3164 + -2\/791. Is l equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 10\/(-1) - -2 - (-11 + -381). Calculate the highest common divisor of 864 and q.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 53, 116, 181, 248, 317, 388, 461?\n\"Answer: j**2 + 60*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 60 + -17. Let y = 74 - s. List the prime factors of y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of (12\/20)\/((-3)\/(-15)) + 15260 + -12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 22 = -13. Suppose -8*q = -7*q + 3*y - 22, q = -2*y + 17. What is the highest common divisor of q and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 132*q**4 + 2090*q**3 - 540219*q**2.\nAnswer: 3168*q + 12540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 17556793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p - 1. Let c be m(10). Let u = 18 - c. Is u a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1171 + 4?\nAnswer: 1175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k**3 - 2*k**2 + k - 2. Let z be i(2). Suppose -24 = -4*o + 2*a, z*o + o - 5*a = 15. Solve -20 = -4*r, -p = -0*p - o*r + 24 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {t: 2, i: 2, q: 1, w: 2, g: 2, m: 5}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 20\/2 - (-552)\/(-92).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = -9 - 0. Suppose -p - 20 = o*p. Let a = 13 + p. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -56 + 390\/7. What is the closest to f in -0.01, 0.3, -3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w**2 - 244*w + 730. Determine f(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3\/12 - (-14)\/(-24). Let f(y) = -y**2 + 9*y + 24. Let w be f(11). Which is the closest to 0.1?  (a) h  (b) w  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20 + -13 - (0 + 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -2*s**3 + 14*s**2 + 7. Determine l(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 585 = 6*i + 591. Which is the second smallest value?  (a) -0.94  (b) 1\/11  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -409.71 + 408. Round n to one decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -2, -5\/11, 9, 0.3 in ascending order.\nAnswer: -2, -5\/11, 0, 0.3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 413703.8 minus 0.5?\nAnswer: 413703.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4\/29 + 45\/116. Suppose 4 = -0*l + l. Let m be (-4)\/14 - l\/(-14). Which is greater: m or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -79764000 to the nearest one hundred thousand.\nAnswer: -79800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/13?  (a) -4  (b) -2\/15  (c) 2\/111  (d) 0.04  (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 28041545 to the power of 1\/2, to the nearest integer?\nAnswer: 5295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 30056916 and 36?\nAnswer: 90170748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2 - 10231?\nAnswer: -10233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/(-4))\/(-23*19\/(-4370))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1900, -1875, -1834, -1777, -1704, -1615, -1510?\nAnswer: -1389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -140473 divided by -3?\nAnswer: 140473\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -107\/20 and 63\/7444.\nAnswer: 37220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-24)\/(-60) - (-36)\/10)*2. Suppose 0*i - w*i = -5048. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-2264)\/32 + 0 + 1)\/((-3)\/704). What is the highest common factor of 33 and g?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3122, -2998, -2890, -2804, -2746, -2722?\nAnswer: -2738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 570 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8*w**5 + 0*w**5 + 9*w**5 + 2*w**5 - w**5 + 3*w**5 + (w**2 + 2*w**2 - 5*w**2)*(w**3 + 0*w**2 + 0*w**2) + 0*w**2 - w**5 + 0*w**2.\nAnswer: 18*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 209 = -26*w - 51 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -3*n - 13. Let u be m(-5). Let z = 14 + u. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in -3\/4, 5, 0.4, -3, 0.04, 31.3468?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1470) - (sqrt(1470) - (sqrt(1470) + 1*sqrt(1470)*-1 + sqrt(1470))))\/(sqrt(80)\/((sqrt(56)\/sqrt(7) - sqrt(8))*-2 - sqrt(8))).\nAnswer: -7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: ((-112)\/(-32))\/(70\/200)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 812.819454 rounded to the nearest integer?\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 12435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2521763 by -17.\nAnswer: 148339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 52 = -3*a + 5*g, -3*a + 54 = -3*g. Suppose 2*b = 44 + 70. Calculate the remainder when b is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -4*m**2 + 3*m. Let c(s) be the third derivative of 0 + 17*s**2 + 0*s**4 + 0*s**3 + 1\/60*s**5 + 0*s. Calculate k(c(w)).\nAnswer: -4*w**4 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -166.83 - -166. What is x rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -47*l - 298. Let w(j) = -12*j + 4. Let u(x) = c(x) - 4*w(x). Let d(b) = 2*b. Give d(u(g)).\nAnswer: 2*g - 628","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/3, 1\/2, -3\/2, 584\/55, -19.9 in increasing order.\nAnswer: -19.9, -3\/2, -2\/3, 1\/2, 584\/55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 835 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j**3 - 10*j**2 - 8*j - 20. Give z(-9).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the second derivative of l**8\/336 + l**7\/70 + l**6\/60 - 73*l**2\/2 - 4*l. Let c(q) be the first derivative of f(q). Factor c(i).\nAnswer: i**3*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3635 is divided by 1198?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -2*z. Let a(j) = 50812*j - 19. What is a(x(o))?\nAnswer: -101624*o - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -5255*g + 21223. Calculate o(4).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 5*x**2 + 258*x + 1323. Let l(j) = j - 8. Let u be l(8). Suppose 0 = -3*g - u*g + 36. What is the remainder when c(-46) is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -111721 by -11.\nAnswer: 111721\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -7*r + 13. Solve r*g - 9 = 6 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -30352 divided by 70?\nAnswer: -2168\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 2*r**2. Let a = 15 + -10. Suppose -a*j = -24 + 4. Let p(z) = 7*z + j*z + 9*z. Determine l(p(v)).\nAnswer: 800*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the first derivative of 25 + 20*s - 1\/2*s**2 + 1\/4*s**4 + 5\/3*s**3. Is z(-5) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2 - (-8 + 3) - 5. What is the third derivative of 97629*k**2 + 2*k**5 - k**5 - 97647*k**v - 48*k**6 wrt k?\nAnswer: -5760*k**3 + 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33539837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15\/(-63))\/((-30)\/36*(-7)\/(-42)).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5 - -5.000000432. What is z rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 841 - 836. Sort 21, 40, a, -5.\nAnswer: -5, a, 21, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w + 9. Let t be v(-4). Suppose -258*i - 2359 + 3391 = 0. What is the fourth smallest value in t, -7, i, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7262 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 31865\/216 - 1147\/8. Let f = -10138\/2457 + s. Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3898*j**2 - 19*j**3 + 1949*j**2 - 10*j + 1949*j**2 + 10*j.\nAnswer: -19*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*r + 338 = 9*r + 9*r. Sort r, 5, 0, 2, 3 in increasing order.\nAnswer: 0, 2, 3, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the third derivative of 1\/270*w**5 + 0*w**4 - 44*w**2 + 0*w - 4\/27*w**3 + 0. Solve h(y) = 0 for y.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k**(1\/2)*k*k)**(-4\/3)\/(k**(-3\/5)\/((k*k**(4\/3))\/k))*((((k*k**1\/k*k*k)\/k*k)\/k)**21)**(-4\/11) assuming k is positive.\nAnswer: k**(-2971\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*g**2 - 16*g**2 + 10*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -110 - 526*a - 598 + 531*a to the form o + c*a and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-9)\/4 + 3)\/(-8 + 6). Which is the nearest to -2\/3?  (a) 5  (b) n  (c) -0.26  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -4*p + 5*x, 3*p + 0 - 11 = 4*x. Suppose 10 = v + 4*c, 2*c - c = p. Suppose v*r = 4*r + 4. Solve -6*m + r*m + 12 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-3)\/2)\/((-15)\/70). Let c = -2 + b. What is the second derivative of -c*g + g**3 + 5*g + 2*g wrt g?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5375 - -1876. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 447 = 3*x - 453. Let r = x - 179. Let k be (-36)\/(-60) + (-156)\/(-15). What is the greatest common factor of r and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -50*z - 15*z - 45*z + (-1 + 2*z + 1)*(2 - 4 + 4) - 4*z + 6*z - 4*z to b*z + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -20*o**3 + 5*o**2 - 3*o - 21. Let g(q) = q - 1. Let k(c) = -5*g(c) + h(c). List the prime factors of k(-4).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y\/(y*y**(-1\/7))*y**12*y**(-3\/7)\/y**(-17) assuming y is positive.\nAnswer: y**(201\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20564051?\nAnswer: 47, 437533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 < 45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:04 PM and 1:03 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t + 2. Let a be l(-3). Let x be 1 - (a - 3 - -6). Let p be -1 - (1 + (-3 - x)). Is p >= -2\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 1390409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 * -3.39.\nAnswer: -13.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 280\/(-4)*140\/(-245)*1\/4. Suppose z - 4*s = 27, -40 = -5*z + s - 0*s. Suppose -5*v = -3 - z. Which is the biggest value?  (a) 3  (b) g  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -621\/5 - -125. Sort a, -3, -1\/3, -0.4 in decreasing order.\nAnswer: a, -1\/3, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 132251282, 264502566, 396753850?\nAnswer: 529005134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*f + 3*f**2 - 61*f - 3*f**2 - 15*f - 9*f**3.\nAnswer: -9*f**3 - 66*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h**3 - 10*h**2 + 11*h - 4. Let s be 84\/56*(-8)\/6. Let w be s\/(-1) - (8 - -5). Give u(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 15088527?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 25\/8 of a kilometer?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -168*d - 897. Let f be c(-5). Which is greater: -465\/8 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1950, 1948, 1946, 1944?\nAnswer: 1942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 - 3333?\nAnswer: -3334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 31391543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -12*o + 4 + 20*o - 6*o + o**2 - 9*o. Let v be b(3). List the prime factors of v\/2 + (-1904)\/(-16).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 72901*l**2 - l - 42733 wrt l?\nAnswer: 145802*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -348 or -2\/67?\nAnswer: -348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2061 + 5148. What is the hundreds digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 269117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 24 = -15. Calculate the smallest common multiple of x and ((-8)\/(-3))\/(2\/6).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.163909 to 3 decimal places.\nAnswer: 0.164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 250619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 462509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -83 - -232. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 67042.7 + -67042.4. Let n = 0 + 2. Suppose -o + 0*o - 2 = 0. What is the third biggest value in -1, f, o, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 143\/4 or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1 - -2. Let o = -6 + m. Let l = o + 4.99995. Round l to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 837?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) be the first derivative of -4*z**3\/3 + 30*z**2 + 64*z + 58. Determine p, given that g(p) = 0.\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4808594.\nAnswer: 2, 7, 37, 9283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 80 and 1078200.\nAnswer: 2156400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = -13*a + 18*a - 126538, -3*a - 2*s + 75900 = 0. What are the prime factors of a?\nAnswer: 2, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -2.04220305 and -135.07?\nAnswer: 133.02779695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:11 AM and 6:30 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 309 minutes after 9:43 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**3 + 3*r**2 + 4*r + 2. Let x be y(-2). Suppose 0 = 5*t - j - x, 0*j + 2 = t - j. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aaawwawwwwwawwzawww. Give prob of sequence aa.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = -u - 20. Let l(z) be the first derivative of z**4\/4 + z**3 - 3*z**2\/2 - 4*z - 2. What is l(u)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 98.669179 from 7963.\nAnswer: 7864.330821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tmtm when four letters picked without replacement from {t: 4, m: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1593 - 2293. Let h = r + 702. Solve -21 = -3*t + 5*x - 6, 2*x + 6 = h*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11*q - 8685*q**2 - q**3 - 8610*q**2 + 17267*q**2 to the form y*q**3 + h + n*q**2 + k*q and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 262 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = -2*h + 28, 5*f + 11 = -4. Suppose 4*l + 40 = 2*c, 2*l + 3*c + 3 + h = 0. Let m be ((-156)\/l)\/((-8)\/(-20)). Solve -m = -5*i - 14 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 2720, 2968, 3402, 4028, 4852, 5880, 7118?\n\"Answer: d**3 + 87*d**2 - 20*d + 2652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -501 - 34 = 15*p + 29*p + 37 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 36.05 + -36. Let y(u) = -u + 1. Let o be y(-3). Let g = -6723\/11 - -611. What is the closest to o in g, d, -2\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hzzhhzhhhhhh. What is prob of picking 3 z?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n + 1. Let x(d) = 22*d + 14. Let u(i) = 29*i + 15. Let j(a) = -6*u(a) + 7*x(a). What is j(h) - 8*q(h)?\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*m**4 + 2*m**4 + 2*m**2 + m + 0 - 9 + 5 to the form f*m**3 + l*m**4 + j*m**2 + z*m + c and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*s - 34 = 24*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 8444.49l in millilitres?\nAnswer: 8444490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -57\/20 and (-2)\/(-22)*(-1314)\/36.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2600 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1355 + 77*j - 1355 + (-3*j + 2*j + 7*j)*(0 + 6 - 2).\nAnswer: 101*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5166, -20388, -45758, -81276, -126942, -182756, -248718?\nAnswer: -324828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2 + -5)\/((-3)\/51). Suppose 4*x - 25 - w = 0. Is 6 a factor of (x\/(-42))\/(2\/(-28))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.04882388 to 4 decimal places.\nAnswer: 0.0488","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 44\/660*2*11\/(99\/(-30)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35206 + 60063 = -3727*i + 6831 - 8464 for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 592 is divided by 61.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -2986b76 (base 12) in base 15?\nAnswer: -b0ab26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -379 - -395. What is the third derivative of 16*v**3 - v**2 + 13*v**2 + 3*v**3 - 13*v**3 + t*v**3 + 6*v wrt v?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 384566 is divided by 212?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -63.31 + 62.1. Let l = 2.45 + z. Round l to one dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 7\/3, 6, 1\/2 in decreasing order.\nAnswer: 6, 7\/3, 1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = 3*l - l + 8, 3*l = 0. Let h be -1 + (j\/(-18) - (-343)\/252). Let z = 0.2 + -0.2. Do z and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j - 180 = 2*j. Calculate the greatest common factor of j and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22376 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 3 = 13. Let f(l) = -3*l + k*l + 4*l + 4 - l**3. Let i be f(-3). Round i to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 9, 13, 17, 21, 25?\n\"Answer: 4*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4370 is divided by 550?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (-8 + 8 + 12*q)*(0*q + 2*q - 3*q**2 + 5*q**2) as n*q + c*q**2 + g + y*q**3 and give y.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f**3 + f**2 - 23*f - 13. What is the remainder when 61 is divided by z(5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1050172 - -1050139.999955. Let t = 7 - 39. Let f = t - n. Round f to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 38857 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 * 50135.\nAnswer: 200540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = 42 + 46. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(50)\/(-4*sqrt(10)) + 2*sqrt(5) + -2 + sqrt(35)\/(sqrt(7) + sqrt(7)*3*-3 + sqrt(7) + sqrt(7)) + 5.\nAnswer: 3 + 19*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -3 times 1055198\nAnswer: -3165594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n*n**(2\/19)))\/((n*n**15*n)\/n*n))\/(n**(2\/17)*n**(2\/23)) assuming n is positive.\nAnswer: n**(-128595\/7429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rtruwfn. What is prob of picking 2 r and 1 w?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -72\/145 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10266 = -166*b - 5452 for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*a**2 + 28*a**2 + 4*a**3 - a + a.\nAnswer: 4*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*z**4 - 18*z**3 - 22*z**2 + 42*z = 0. Calculate z.\nAnswer: -7, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 25439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10364826.\nAnswer: 2, 3, 157, 11003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the first derivative of -w**3\/6 + w**2\/2 + 3*w\/2 - 1. Factor n(b).\nAnswer: -(b - 3)*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.042 greater than or equal to -694?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 3 + (3 - 7) + 11\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*u + 5 = 8*u. Suppose -3*q + 4*g = -354, u*q - 585 = 2*g + 3*g. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 37247704.2ms?\nAnswer: 0.0615868125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 941811 + -0.8.\nAnswer: 941810.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -317*i + 55 - 70*i**2 + 1522*i - 310 = 0. What is i?\nAnswer: 3\/14, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3703 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (75 - 163 - 106)*(-2*c - c + 2*c).\nAnswer: 194*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 27596\/(-6)*174\/116. Round p to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*i - 7*i - 317 + 42*i - 27*i to the form b + r*i and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = -2*b + 35, 2*b = 4*r - 116 - 44. Suppose -2*k - 9 = -r. Suppose 0 = 17*l - k*l - 4. Solve 3*v = l + 7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 278824 and 6500.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 568 (base 11) to base 9\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 61\/(-610) + -1*(-1)\/10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/(-10) - (-89)\/(20470\/1288)) + -3 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1093*b - 828*b + 2997528 - 10913873 = 0. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5124 + -5511.1. Let d = w + 387. What is the second biggest value in -4, d, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i*i**3*i**6*i*i**1*i\/i**(-4\/9) assuming i is positive.\nAnswer: i**(121\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by -3199649\nAnswer: 5\/3199649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63*m - 21336 = 49*m. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52 = -i + 2*i. Suppose -q - q = -i. Suppose j - 2*j + 14 = 0. What is the remainder when q is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h**2 + 9*h - 3. Let c be b(6). What is the highest common factor of c and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -25518 + 128124\/5. Let u = -106 + d. What is the second smallest value in 1\/4, 3\/2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -w**2 + 2*w. Give j(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:37 PM and 8:00 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 4, m: 3, n: 1, h: 1, y: 2}. Give prob of sequence mmn.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 492, -1, 2\/7.\nAnswer: -1, 2\/7, 5, 492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7 in -3, 4, -5, -2\/4047?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f**2 - 92604*f + 508668176 = 0 for f.\nAnswer: 8963, 14188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -544 = -g - 3*g. Suppose 0*n = -8*n + g. Calculate the remainder when n is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2638*-3.\nAnswer: -7914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) be the second derivative of 123*d**5\/20 - d**4\/6 + 4*d**2 + 185*d. Find the third derivative of s(k) wrt k.\nAnswer: 738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3131.176 litres in millilitres?\nAnswer: 3131176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the second derivative of a**4\/12 + 17*a**3\/6 + a**2 + 6*a. Let u be o(-17). What is the derivative of -i**3 - 3*i**3 + u - 6 wrt i?\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g**2 + 2*g + 19 - 5*g - 2*g - 24. Let u be t(-3). Let q = 3 + -5. Which is smaller: q or u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 51954 is divided by 444?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -1  (b) -0.5  (c) -443  (d) -2\/9  (e) -89  (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-18)\/12 + 1)*(-81)\/9. Let x(q) be the third derivative of -1\/10*q**5 - 3\/2*q**4 + 1\/70*q**7 + 1\/10*q**6 - 3*q**2 + 0 + 0*q + r*q**3. Factor x(v).\nAnswer: 3*(v - 1)**2*(v + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t**2 - 278*t + 4746. Give n(16).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 768 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 55129 (base 13) to base 9\nAnswer: 254214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -9*i + 38. Let b be k(4). Solve -4*c = -x + 4, -b*c = 4*x - 3*x + 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -12 + 15. Suppose -4*i = -d + c, 5*d + 5*i - 48 = 4*d. Is 9 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 621 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 149.5898 micrograms in grams?\nAnswer: 0.0001495898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 40, 44, 58, 88, 140, 220?\n\"Answer: x**3 - x**2 + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oxyhvev. What is prob of sequence vxo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 >= 31\/6612?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - x - 14 = 0. Let h = 8 - x. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-s**2 + s**2 + 3*s**2 + 3)*(20*s + s**2 - 20*s) to the form a*s**4 + t + l*s + g*s**3 + z*s**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 2673*v**3 - 2*v**2 - 2*v + 2. Let k(n) = -5344*n**3 + 5*n**2 + 5*n - 5. Determine -4*k(t) - 10*q(t).\nAnswer: -5354*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a day in minutes?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 991.\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*j**2 - 57*j**2 + 21*j**2.\nAnswer: -13*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -883193 (base 10) in base 15?\nAnswer: -126a48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -190, -379, -556, -715, -850, -955, -1024?\nAnswer: -1051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 652 minutes after 7:13 PM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**19\/v)**(3\/34) assuming v is positive.\nAnswer: v**(27\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 81300 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 538218 divided by -29901\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -42*i + 153. Calculate the remainder when c(-28) is divided by 133.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iid when three letters picked without replacement from doddiipoppeikdoopioe.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001425336 rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -375\/78049?\nAnswer: -375\/78049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -80 - -312. Suppose 3*v + s = 50, 5*s + 114 - 188 = -4*v. What is the lowest common multiple of o and v?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -113123, -225913, -338707, -451505, -564307, -677113?\nAnswer: -789923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 14.614 + -1.014. What is a rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -13, -29, 433 in increasing order.\nAnswer: -29, -13, 433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 3*w + 12, -3*w = -0*q + 5*q + 12. Suppose -2*y = -4*p - 50, 0 = -p - 2*y - q*y. Put 4, p, -1, -5 in ascending order.\nAnswer: p, -5, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t**3 + 56*t**2 + 45*t - 442. Let y be i(-55). What is the highest common divisor of 1728 and y?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*d**3*h*y**3 + 7*d**3 + 161*d**2*h*y**2 + 1991*d*h*y**3 - 2*d*h wrt y.\nAnswer: 12*d**3*h + 11946*d*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-4624)\/(-1552) + 9\/(-3). What is the nearest to -3 in 0.3, r, -2, -1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 60*j - 201 - 2004 - 615 for j.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 323\/9 in -5, 4, 10\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 36131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that -9*x**4 + 311145*x**3 - 207423*x**2 - 103713*x = 0.\nAnswer: -1\/3, 0, 1, 34571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 127.5 + -2.4. Let y = q - 110. Let m = 15 - y. Which is the closest to 0?  (a) m  (b) 2  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*r**3\/7 - 138*r**2\/7 + 324*r\/7 - 128\/7.\nAnswer: 2*(r - 32)*(r - 2)*(2*r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 95350223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 64105000 rounded to the nearest one million?\nAnswer: 64000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 21, 5, 40, 2, 41, 3, 4 in ascending order.\nAnswer: 2, 3, 4, 5, 21, 40, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*r - 438 - 51. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4\/5, -35, -4 in ascending order.\nAnswer: -35, -4, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32431 is divided by 5386.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 5084339 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d**3)\/d**(1\/16))**15 assuming d is positive.\nAnswer: d**(945\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -782, -678, -578, -488, -414, -362, -338?\nAnswer: -348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -128.4 - -131.4. Sort f, -3, 1.5 in ascending order.\nAnswer: -3, 1.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 7*y**2 + 5*y + 4. Let w(g) = 8*g**2 + 5*g + 5. What is 5*s(j) - 4*w(j)?\nAnswer: 3*j**2 + 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -54889 + 133524. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1565993?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 147857956*k**3 + 70531*k**2 + 735.\nAnswer: 887147736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1843, -3, -4\/3 in descending order.\nAnswer: 1843, -4\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 10035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 3214*c**3 - 3166*c**2 - 8*c. Let t(p) = 1072*p**3 - 1056*p**2 - 3*p. Let d(g) = 8*t(g) - 3*x(g). Find the third derivative of d(a) wrt a.\nAnswer: -6396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -56603 (base 11) to base 7.\nAnswer: -460556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ut when two letters picked without replacement from bbbjtujbb?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 75 = -m + 79 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 48*q**2 + 48*q - 48. Let k(f) = f - 1. Determine -d(v) + 48*k(v).\nAnswer: -48*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-1\/6)*a)\/(((a*a*a*a**(-6)\/a)\/a)\/a))\/(a*a**(-1\/5))**(-5) assuming a is positive.\nAnswer: a**(65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0002993351666 to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 2*z + 14 = 3*t, -3*z = 6. Suppose -t*q + 408 = -107. Let f = q + -50. Calculate the remainder when f is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8, -76, -254, -596, -1156, -1988?\nAnswer: -3146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 365870 and 2.\nAnswer: 365870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qvqidviivvde. Give prob of picking 2 v.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Add together 20664881.7221 and 0.4.\nAnswer: 20664882.1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**3 - 4*m**2 + 29*m - 179. Give v(-10).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 46574148 = 14625852. Let v = 5 - 3. Suppose 4*b = -v*b + d. What is b rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10521 is divided by 653?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the second derivative of -y**5\/20 + 5*y**4\/12 + 4*y**3\/3 - 9*y**2\/2 - y. Is 2 a factor of r(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*t = 292601 - 292577. Let -4\/5*n + 0 - 2\/5*n**t = 0. Calculate n.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 5*v**2 + v - 11. Let r(c) = 4*c**2 - 10. Let y(w) = 5*k(w) - 6*r(w). Let z = -3 - 1. Let j = z - 0. Calculate y(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1043027677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ge when two letters picked without replacement from {g: 2, e: 3, z: 5}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -64 + 69. Let d(o) = 10*o**2 - 5*o**2 + i*o**2. Let f(q) = -2*q**2. Give f(d(r)).\nAnswer: -200*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 711412.\nAnswer: 2, 13, 13681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 6, i: 2}. Give prob of picking 1 i and 3 o.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 2, k: 5, u: 1, t: 2, d: 2, b: 5}. Give prob of picking 2 k, 1 u, and 1 t.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/7, -3, -4.3, 0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 1, s: 1, c: 2, f: 1, k: 3, o: 3}. Give prob of picking 1 k, 1 d, 1 c, and 1 o.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*c**3\/2 + 45*c**2\/2 + 78*c + 54.\nAnswer: -3*(c - 18)*(c + 1)*(c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -16*j - 1465 + 2495*j**3 + 725 + 724 wrt j?\nAnswer: 14970*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1801489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = -2*a. Suppose a = 2*g + 6, -3*n + g + 4*g = -21. Solve -p + 1 = -n for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3, -4\/7, 5, -3\/5, -1\/22?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -157 by -981145.\nAnswer: 157\/981145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2259 and 31293?\nAnswer: 7854543","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (23 + 10*k - 23)*(1 + k - 1) + 4*k**2 - 5*k**2 - k**2 + 3*k - 3*k - 2*k**2 + 0 + 0 + 3*k**2 + (3*k**2 - 6*k**2 + 4*k**2)*(2 - 4 + 0) + 4*k**2 - 4 + 4.\nAnswer: 11*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 5*f**2 + 80*f - 1070. Let w(c) = -6*c**2 - 80*c + 1062. Let u(a) = 3*n(a) + 2*w(a). What is the derivative of u(r) wrt r?\nAnswer: 6*r + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -208569746*c**4 + 65568189?\nAnswer: -834278984*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 9*b**3 + 0*b - 4*b**2 + b - 4*b - 41*b**3 + 33*b**3 - 3. Let i = -4 + 8. Give c(i).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13096, -26207, -39314, -52417?\nAnswer: -65516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 minutes after 4:14 AM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 5269.128t?\nAnswer: 5269128000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 54065?\nAnswer: 5, 11, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -73\/273 and 20\/3472053.\nAnswer: 24304371","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 281, 286, 303, 338, 397, 486, 611?\n\"Answer: y**3 - 2*y + 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 24*a**4\/5 - 238*a**3 + 686*a**2\/5.\nAnswer: 2*a**2*(a - 49)*(12*a - 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 693189 is divided by 693160?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1197753988?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*q**2 + 2863569*q**3 + 0*q - 2863567*q**3 + 0*q.\nAnswer: 2*q**3 + 8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((4 + (sqrt(7) - (sqrt(168)\/sqrt(4))\/sqrt(6)) + sqrt(21)\/(sqrt(3)*1))**2 + (4 + 3*sqrt(7) + 5)*-4).\nAnswer: 16*sqrt(7) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 3*b**3 + b**2 - 5*b + 7. Let w(o) = -4*o**3 + 2 + 2*o - 10 + 4*o. Let m(p) = -3*i(p) - 2*w(p). Suppose 0 = -s + 5*s + 16. What is m(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (30 - 19) + -16 + 7 - (17 - -1).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 + 15 = 2*d. Solve -d*a - 10 = -a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:09 AM and 8:48 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -l**3 + 10*l**2 + 16*l - 29. Determine k(11).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -18612 + 25410. Calculate the smallest common multiple of t and 2472.\nAnswer: 27192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7\/((-70)\/12))\/(((-2048)\/(-160))\/16).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -6*x - 6. Let l(w) = 5*w + 5. Let y(t) be the second derivative of -4*t**3\/3 + t**2 - 7*t. Let j be y(1). Calculate j*m(d) - 7*l(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 5291*t**2 - 148*t - 148. Let j(f) = -108*f**2 + 3*f + 3. Let a(z) = -148*j(z) - 3*l(z). Is a(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 145 minutes before 5:07 AM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let 55*t**2 - 70*t + 15 = 0. What is t?\nAnswer: 3\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -125\/24 and -109\/128106.\nAnswer: 512424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1986934 (base 10) in base 2?\nAnswer: 111100101000101110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*n - 8*n + 200. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 17487 + -10728. List the prime factors of f.\nAnswer: 3, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -832*k + 829*k - 2*o = 24, 5*o = k + 25 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = -4*m + 5. Put 0, m, -1 in descending order.\nAnswer: 0, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 90*g - 1769. What is the units digit of d(48)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n**2 - 12*n - 38. Give x(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 36241 is divided by 101.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:58 AM and 1:18 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -11 - -19. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -225*i = -217*i - 56. Solve n + 3*q - 6 = -i, -3*n - 3 = q for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 18465 + -240043\/13. What is the nearest to j in -6, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*b - 3*b**5 + 6*b + 12*b wrt b.\nAnswer: -60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -54 - -19. Let q = j + 36. Solve 0*o = o - q for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqc when three letters picked without replacement from {q: 8, c: 2}?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00001908 rounded to six dps?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-48)\/28 - -2) + 124\/(-42))*-3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pn when two letters picked without replacement from pnnn.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -21\/1780 and -20 - (18870\/(-1100) + -4).\nAnswer: 19580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 6 + 116a9?\nAnswer: 116b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -12499*s**2 + 6*s + 8. Let y be t(-4). What is y rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3683 or -3687?\nAnswer: -3683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5188.864 + 105.164. What is h rounded to the nearest one hundred?\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6 divided by -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3617163?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 21*j - 15*j - 12. Let n(k) be the first derivative of -3\/5*k**5 + 0*k**2 - j*k**3 + 0*k**4 + 0*k - 5. What is the third derivative of n(r) wrt r?\nAnswer: -72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-26)\/325)\/(2\/10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -361062730814756.39999865 - -361062739237036. Let y = t - 8422279. Let x = y + -0.6. What is x rounded to seven decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 14153 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15 + -20 - (-6 - -2 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 5332686*g**3*p + 2*g**3 + 41*g**2 + 72021*g wrt p?\nAnswer: 5332686*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -30840958 greater than or equal to -30840962?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 19 - 17. Which is the biggest value?  (a) -1\/8  (b) -6  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, -25599, 1, 4 in decreasing order.\nAnswer: 4, 1, -9, -25599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uyduuuyduyuduudyfy. Give prob of sequence df.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4182 + -4171. Suppose -4*j + 145 = -111. Calculate the remainder when j is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.131*-5\nAnswer: 0.655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 65304 (base 7) to base 15.\nAnswer: 4c4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -15*g**2 - 36*g + 97. Let r be t(-4). Let s be 366\/4*(-8)\/6. Let o be -2 - (s\/(-58))\/(-1). Are r and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5627 = -178*a + 1355 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the second derivative of p**4\/3 - 130*p**3\/3 - 132*p**2 + 976*p. Factor b(a).\nAnswer: 4*(a - 66)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5  (b) 3  (c) -8  (d) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -348711075 divided by -3?\nAnswer: 116237025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8910 = -35*q - 46*q. Let l(u) = 22*u**3 - 3*u**2 + u - 1. Let b be l(2). Calculate the highest common divisor of b and q.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:40 PM and 11:27 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (0 + (-8)\/6)*6. What is the tens digit of 44\/z*-6 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in q**3 - 1331334 + 1331334 - 3*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 2*r**2 - 2. Let w(c) be the first derivative of c**3\/3 - c - 3. Let u(b) = -2*i(b) + 7*w(b). Differentiate u(a) with respect to a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 2*x - 17554 = 0, 0 = -4*m - x + 5*x + 14032. Suppose 6*p + 3*u - m = 2*p, 5*p - u = 4397. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s - 1. Let z(o) = o + 3. Let y(d) = 9*d + 20. Let j be y(-2). Calculate j*z(t) + 5*i(t).\nAnswer: -3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 26644, 53277, 79914, 106555, 133200, 159849?\n\"Answer: 2*d**2 + 26627*d + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 66*v + 70*v + 141 = 0, 35 = -5*v. Suppose 2*k + 3*m - 433 = 0, -k - 217 = -2*k - m. Let h = w + k. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -b**3 - 7*b**2 + 19*b + 13. Let f be d(-9). Suppose -f*v - 10*v = -140. Is (-8)\/v - 28794\/(-30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 160 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the second derivative of 0*k**3 - 2\/3*k**4 + 27\/2*k**2 - 22*k + 0. Differentiate p(x) wrt x.\nAnswer: -16*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*n + 2*n - n**2 + (3*n - 2*n + 0*n)*(-4*n + 0*n + 6*n) - n + n**2 + n + n - 344*n**2 + 157*n**2 + 133*n**2)*(-n - 2*n + 2*n).\nAnswer: 52*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -t. Let z(p) be the second derivative of -p**4\/12 - 9*p**3\/2 - 908*p. What is z(k(f))?\nAnswer: -f**2 + 27*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = -5*z + 13, 2*u = -z - 2*u - 2. Suppose 5*w = 3*b + 5, z*b = 4*w - 6*w + 2. Solve b = 2*k + k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8*o*u*z**3 + 4*o*z**2 + 106015*u*z**3 + 2*u*z**2 - u*z + 374*z**2 + 1 wrt z.\nAnswer: -48*o*u + 636090*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-7)\/3)\/(-1*15*7\/945). Solve q*u + 72 = -12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 16 + -9. Calculate the least common multiple of (-2)\/7 - (-51)\/b and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 0.7199272 weeks?\nAnswer: 7256.866176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8355 by -1.\nAnswer: -8355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(3\/5))**(-6\/7)*(a\/a**(-5\/2)*a)\/a*a**(-2\/39) assuming a is positive.\nAnswer: a**(8011\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3*d**4 + 5370*d + 258461?\nAnswer: -12*d**3 + 5370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 107*b + 53 = 53. Solve r + 3 - 8 = b, -2*k + r = -3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -68*q = -0*q + 1115 + 1138 - 213 for q.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3002\/9 - 334. Let v = 334 - 334.14. What is the smallest value in 1\/3, v, z, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -520\/3 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3, -1, -0.1, 806\/7, -1677, -0.5, -1\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 631 minutes after 5:34 AM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -7*o**2 - 706*o + 293. What is the remainder when 544 is divided by t(-101)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 238 minutes after 5:35 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 4, r: 3}. What is prob of sequence rz?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 18\/5 of a millimeter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -22 divided by 21?\nAnswer: -22\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -77.8 - -78. Suppose 2*j = -3*j. Let o be j + 0 - (1 + -3 + 0). What is the nearest to -0.1 in -3, h, o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1.17 - 0.03. Let g = 1 + x. Let z = g - 0.2. What is the second biggest value in z, 1, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*g**3*u**3 + 52*g**3*u - g**2 - 16*u**4 wrt u.\nAnswer: 12*g**3*u - 192*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -91 - 45 - 2*g**2 - 47 + 183.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1 - (103 - 2 - 2). Find the common denominator of 3 - (-4)\/(64\/x) and (-6)\/(-14) + (-2515)\/70.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6133409 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -157, -306, -439, -556?\nAnswer: -657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 66 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: ((-15)\/3 + 0)\/1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2 + (-1 - -1*3). Suppose -2 = 7*t - 9*t. Let n(v) = -v**2 + 5*v + 4. Let a be n(6). Sort t, a, l in descending order.\nAnswer: l, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*b - 630 = -5*v - 6*b, 0 = 3*b. Calculate the smallest common multiple of v and 630.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3 - 3.32. Let k = 0.155 + -0.015. Let y = k + v. What is y rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-56)\/1296)\/(41\/(7749\/(-42)))*(-3)\/21?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in f - 5*f - 3*f.\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6 + 9. Suppose 0 = -2*y + 4*z + 16, -q*y = 2*y + 3*z - 14. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -65 + 102. Let z(i) = i**2 - 75 - 2*i**2 + 37 + h - 3*i. Calculate z(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:29 AM and 5:44 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 19 - 19.037. Let o = v + -0.063. Which is bigger: o or -24?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -418 + 422. What is the closest to 0 in i, 1, 5\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/((-4)\/(-1))*74\/37. Suppose -4*v - 3*o = -0*v + 24, -o = 4. Let n(w) = -w - 4. Let b be n(-4). What is the nearest to b in r, v, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 407478972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**14*x)\/x)**41*(x**(3\/5)*x)\/x**13 assuming x is positive.\nAnswer: x**(2813\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1026007 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: ((-24)\/(-15))\/(4\/20)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2061 + 1030 - 965*l - 1928*l + 1031 to the form o*l + p and give o.\nAnswer: -2893","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 18*p**2 + 7*p - 14. Let g(h) = -9*h**2 - 3*h + 6. Let l(w) = -7*g(w) - 3*o(w). Let i(m) = 5*m. Calculate i(l(a)).\nAnswer: 45*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1334615.\nAnswer: 5, 293, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*b = -52 + 40. Solve -3*w - 5*j = 26, -3*j - 11 = b for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3045, 4619, 7243, 10917, 15641, 21415, 28239?\nAnswer: 36113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 214339051.\nAnswer: 214339051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.3, -1, 0.096?\nAnswer: 0.096","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5822472 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: b\"What is the fth term of 413804, 413829, 413854, 413879, 413904?\n\"Answer: 25*f + 413779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 2, -1, 4 in decreasing order.\nAnswer: 4, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (3\/9)\/(3\/27). Suppose o*p = -p. Suppose 3*s - 4*q - 68 = p, 5*q + 9 = 2*s - 3*s. Solve s - 1 = 3*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-9)\/((-144)\/(-4)) - 35\/4. Let w be 6\/(-189)*j + 9\/(-56). Sort -0.7, w, -2 in ascending order.\nAnswer: -2, -0.7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1850, 1871, 1948, 2087, 2294, 2575?\nAnswer: 2936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 11613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**(-2)\/p*p)**(-44)\/(p**(-5)*p*p**(-3)\/p*p) assuming p is positive.\nAnswer: p**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*b - 435 = -3*a + 11*b, -725 = -5*a + 4*b. Suppose -150*v = -a*v - 175. What is the remainder when 44 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:48 PM and 4:11 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*s**2\/5 + 1748172*s\/5 - 254675445132\/5.\nAnswer: -3*(s - 291362)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11 + 125*g - 2 - 245*g + 119*g to y + d*g and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1345299 is divided by 94.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.035 in -1, -0.4, -8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -31*0.36\nAnswer: -11.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -36822 - -67902. Suppose -29*k = -k - r. Does 15 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-30)\/1395)\/(((-28)\/(-12))\/(-7))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 107, -1.6, -6?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: -16217 (base 8) to base 13\nAnswer: -3435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -2420, -4918, -7416?\n\"Answer: -2498*o + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the first derivative of 2*k**5\/45 + k**4\/9 + 2*k**3\/27 + 14. Factor x(y).\nAnswer: 2*y**2*(y + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1229604 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -91*y - 10*y - 86*y.\nAnswer: -187*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (185 - 190)\/(5\/(-21)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 2, 209, 301, 0, 5 in decreasing order.\nAnswer: 301, 209, 5, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*i + 3*g - 3 - 3, -6 = -2*i + 5*g. Let n = 1.8 - 2. What is the closest to n in 0.4, i, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 136991870, 136991873, 136991876?\n\"Answer: 3*g + 136991867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 73641*m = 73626*m - 25 - 20. Put 1, m, -241 in decreasing order.\nAnswer: 1, m, -241","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = d - 9. Let v(b) = 2239*b + 991. Let y(w) = 6*l(w) + v(w). Differentiate y(o) wrt o.\nAnswer: 2245","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:44 AM and 3:11 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: ((-1425)\/100)\/57*24\/(-27)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -3 - (33\/33 - (1 - -5))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - (4 + (0 - (9 - 3))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 3015, 5722, 8347, 10890, 13351, 15730?\n\"Answer: -41*k**2 + 2830*k + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 5 = -1. Suppose -v*s + s = -2, -y - 166 = 2*s. Let d = y - -1532\/9. What is the second smallest value in -2, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8.05 - 8.45. Let u = -14 + 20. Which is smaller: v or u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -50 divided by -64.\nAnswer: 25\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -785 - -785.1. Let f = -242 - -241.9. Which is the nearest to f?  (a) y  (b) 2  (c) 0  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3318.135653 - 1960.753599. Let v = g - -5279. Let h = -0.111 + v. What is h rounded to 5 decimal places?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -3*r**2 + 34*r + 10. Does 6 divide d(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -57 + -44. Let v = f + 100. Which is the fourth biggest value?  (a) -4\/9  (b) -2\/5  (c) v  (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-9)\/(-7) - (0 + (-14)\/(-49)). Do 9\/25 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 12, a: 7}. Give prob of picking 2 b and 1 a.\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 225508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/10, -5, -1\/6 in ascending order.\nAnswer: -5, -1\/6, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2 - (-12 - (0\/1 + -2)). What is the greatest common factor of d and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = -14317*g + 14318*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 2*q - 16. Let l be a(10). Suppose l*h + 21 = -f, 1 = -4*f + h + 2. What is the second biggest value in 1\/8, f, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 15445, 6, -16 in increasing order.\nAnswer: -16, -6, 6, 15445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 57654 is divided by 19216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((56\/21)\/(-4))\/(1\/4*-6).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p**2 + 29*p - 124. What is m(24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is u in -6*u**5 - 9795*u**4 - 82887*u**3 - 102309*u**2 + 4893*u + 34104 = 0?\nAnswer: -1624, -7, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7199, 14666, 22139, 29618, 37103, 44594, 52091?\nAnswer: 59594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 86 + 31?\nAnswer: b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 88120364 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of i*m*y + 65719*i*y - 1220*i - 323*m wrt y?\nAnswer: i*m + 65719*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -6, -42, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 652495, 652559, 652623, 652687, 652751, 652815?\nAnswer: 652879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ky when two letters picked without replacement from kkyy.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -3130*r**2 - 1245*r**2 + 846*r**2 in the form g*r + b + o*r**2 and give o.\nAnswer: -3529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 706 minutes after 10:19 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 5*v**2 + 261*v + 786. Calculate y(-49).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -15*j - 1. Determine a(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 5*q = 26, 4*u + 37 = -u + 4*q. Let k be (-2)\/u + (-20)\/9. Let o(n) = 2*n**2 + n + 2. What is o(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1446273.\nAnswer: 3, 160697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the third derivative of -7*b**6\/120 + 2*b**3\/3 - 5*b**2. What is the derivative of s(i) wrt i?\nAnswer: -21*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -2 and -26\/37 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18 = 3*r - 3*n, -5*r + 2*n - 32 = -14 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i**13\/i)*i)\/(i*i*i**0))**(-20)*((((i\/(i*((i\/(i**(-9)*i))\/i*i)\/i)*i)\/i)\/i)\/(i\/(i*i**(-13))*i*i))**(-40) assuming i is positive.\nAnswer: i**1200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 135 - 95. Calculate the common denominator of n and 55\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*h - 2*p + 127, -23*h + 25*h - 5*p - 45 = 0. Determine w so that 19 + 0*w**2 - h - 7*w**2 - 17*w = 0.\nAnswer: -2, -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 71\/34920 and 47\/1482160?\nAnswer: 13339440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**2 - j - 1. Let r(o) = 3*o**2 - 4*o - 4. Let f(u) = 4*a(u) - r(u). Let h(d) = -d**2. Calculate h(f(w)).\nAnswer: -w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k + 2*y - 4*y = 19, 4*k - 3*y = -6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 6\/(-2)*1\/(-3). Suppose 11 = -3*t + 35. Calculate the smallest common multiple of (1 + h)\/(-1 - -3) and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1*2 - 0\/(-1). Let a be (-2)\/(-3) + (13\/(-3))\/(-1). Suppose -18*q = -a*q + 65. Put q, 5, x in descending order.\nAnswer: 5, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2722.1 - 2722. Which is the biggest value?  (a) -1  (b) 17  (c) o  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1875 + 1875 + 4*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 28 and 41846644?\nAnswer: 41846644","meta":{"dup_signals":{},"source":"numbers__lcm_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: Collect the terms in 5*z**3 + 10*z**3 - 10*z**3.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the first derivative of 3\/14*x**4 + 9 + 0*x + 0*x**2 + 2\/35*x**5 + 4\/21*x**3. Factor g(d).\nAnswer: 2*d**2*(d + 1)*(d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 29*x**2 + 2*x + 5. Let c(p) = 1. Let u(b) = -4*c(b) + w(b). Is u(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (29*l**3 + 21*l**3 + 32*l**3)*(4*l + 2*l - 2*l)*(-4*l + 2*l + l).\nAnswer: -328*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6.6 + -2.6. Let x = 15\/13 - 99\/52. Let b = 5.8 + -7.8. What is the third smallest value in x, n, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 298991 and 706.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 93415865579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 98779832 and 15202?\nAnswer: 1382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101 (base 2) to base 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 4*r - 5. Let n be k(2). What is the third derivative of -6*a**2 - 2*a**2 - 4*a**n + 0*a**3 wrt a?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -6, -16, -32, -54, -82, -116, -156?\n\"Answer: -3*u**2 - u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 0, -509 in descending order.\nAnswer: 5, 0, -509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 74291?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -q**3 + 80*q**2 - 614*q + 2784. Suppose -3*p - 24 = -3*l + 2*p, 2*l - 16 = 4*p. Calculate the smallest common multiple of w(72) and (-2 - l\/6)*-3.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 2022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -a + 49*a + 15*a - 6*a - 17*a**2.\nAnswer: -17*a**2 + 57*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/4 or 8683453?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*a**4 + 3*a**4 + 10*a**4 + (-2*a**3 + 0*a**3 + a**3)*(0 + 0 - 3*a) + (4*a - 1 + 1)*(5*a**3 - a**3 - 3*a**3).\nAnswer: 14*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-18)\/(-36))\/(2 - 3742\/1872). Let p be ((-2)\/(-21)*3)\/(q\/273). Let o be (-2)\/(-15) + (-1 - -1). Sort p, -2\/9, o.\nAnswer: -2\/9, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + 13 - (-7 + 7 + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2 + (-1 - 1 - -15). Suppose -4*c + 42 = -2*c. Let g = c - 11. Solve 2*y - 5*l = 25, -g = -4*y + 5*l + n for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 5*t + 3*t - 30*t**2 - 2*t + 28*t**2. Let b(k) = -k**2 + k. Suppose -3*l + 5 + 13 = 0. What is l*b(z) - y(z)?\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 16\/(-24)*-8*21\/(-28)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 + 5 = a. Let y be 55 + 26\/(-9) + 4\/(-36). Suppose -3*z - y + 88 = 0. What is the remainder when a is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 55*j - 1047. Determine v(19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1206  (b) -1  (c) -125\/32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a week in minutes?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*c - 119 + 14 = 0. Calculate the highest common factor of 120 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f**(-1\/8))**27)**26)**(-3\/5) assuming f is positive.\nAnswer: f**(1053\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 11, r: 3}. What is prob of picking 3 r?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 20 (base 7) to base 10\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1769 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 80443*o - 80300*o - 6006 for o.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 - -3. Let m(z) = 3*z**2 + 5*z**2 - 2 - d*z + 4. Let a be (0 + -1)*(5 - -1). Let l(v) = 7*v**2 - 4*v + 2. Determine a*m(q) + 7*l(q).\nAnswer: q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ihiohhggoioig. Give prob of picking 1 i and 2 h.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = a. Suppose 144 = -a*s + 4*s. Solve 0 = -5*f - g - 24, -5*g - s = 5*f - g for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -751, -1441, -2131, -2821?\n\"Answer: -690*z - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:34 PM and 2:08 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*b - 17225 + 16820 = -5*s, -5*s - 3*b = -405 for s.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 3 q when four letters picked without replacement from ymyyqmsmqq.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.062 to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 3*r - 24. Let m be 4\/3 + 6\/r. Suppose k = m*k + h - 13, 0 = -3*k - 5*h + 35. Solve -2*f = f - k for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4.27928  (b) 0.1  (c) -46  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 smaller than -140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = h**3 - 11*h**2 + 14*h - 14. Suppose 30 - 70 = -4*b. What is the tens digit of n(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 14*y**2 - 8. Let s(d) = d**2 + 2*d + 3. Let z be s(-2). Let v(g) = -5*g**2 + 3. Let b be 8\/2 + (4 - 0). Give b*v(x) + z*u(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2722221635 to the power of 1\/5, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*o**3 + 31*o**3 - 3*o**3)*(-1412*o + 1412*o + 8*o**2).\nAnswer: 176*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -4.71 != 2.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 7\/(28\/12) + 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/4 in -3, 5, 0.1, 363\/116?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (102\/170)\/((-1)\/(-40)). Suppose x*c = 30*c - 120. Solve -4*o - 20 = -5*k, 0 = -5*k - o - 3*o + c for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*r + 2857 - 8482 = 0. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.008821589 to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 65226.7 + -52525. Let p = -12687.7026 + y. Let a = p - 14. Round a to four decimal places.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 29562764, 29562759, 29562752, 29562743, 29562732, 29562719?\n\"Answer: -r**2 - 2*r + 29562767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - (0 + 4)) + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 - ((-37 - -140) + -91).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r**2. Suppose 2*w - 5*n - 10 = 18, 2*n = -3*w + 4. Suppose -w*z + z = 0. Suppose 5*x - 2 = y, 4*x - x + 3*y + 6 = z. What is t(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 390*t - 107600 = -1793*t - 507*t for t.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**2\/7 - 146*m\/7 - 153.\nAnswer: (m - 153)*(m + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 - 356*w - 7*w**3 - 10*w**2 + 123*w - 61*w.\nAnswer: -7*w**3 - 10*w**2 - 294*w - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 513038838.\nAnswer: 2, 3, 13, 1559, 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nzhsnnnznzns. What is prob of picking 2 n?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*j**2\/9 - 665838544*j\/9.\nAnswer: 4*j*(j - 166459636)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -365 + 331.1. Let d = r - -30. Let w = 4 + d. Sort -5, w, -1\/6 in descending order.\nAnswer: w, -1\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -4*s**3. Let a be y(-1). Suppose a*c = 3*t, c = -t - 4*t. Solve 4*j = 2*l, c = 5*l + 3*j - 0*j for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2\/2155 - -17254\/15085. What is the third biggest value in -4\/3, 1\/4, f, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7064 - 5177 = 111*r for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1016 - 321 = -35*k + 98 for k.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10012020 + -11?\nAnswer: -10012101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p**2 + 342*p - 15277. Give n(53).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a**2 + 3*a + 3. Suppose -5*m = 2*y + 12, -4*y - 2 = 2. What is c(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11846*t + 11840*t + 225906 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 391 minutes after 4:48 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that -2*f**4\/15 + 62*f**3\/5 - 1378*f**2\/15 + 498*f\/5 + 204 = 0.\nAnswer: -1, 3, 6, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*u**4 - 67*u**3 - 196*u**2 wrt u.\nAnswer: 72*u - 402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -2*u**3 - 7*u**2 + 8*u + 3. Calculate the remainder when n(-6) is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 50*o**2 + 229*o - 105. Let q be f(-5). What is the closest to q in -1\/8, -12\/13, 1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c**1)**(-3\/8))**15)**(1\/8) assuming c is positive.\nAnswer: c**(-45\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 14373501 and 222.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -12\/7, -3\/5, -15?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 minutes before 11:39 PM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -39 + 233\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 626 + 337 + 5134 = 91*y for y.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -36 + 5 - 23 - -53?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:27 AM and 6:52 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4*w**2 - 3*w**2 + w**2)*(2 - 2 + 2*w) + 4*w**3 - 3*w**3 - 3*w**3 + 3*w**3 + w**3 - 5*w**3)*(-611*w - 63782 + 63782).\nAnswer: -611*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*c + 19 = 2*i - 2*c, -5 = -c. Sort -1, 5, i in increasing order.\nAnswer: i, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 11189999?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4941 - 4940. Put r, 1.2, 0.02 in ascending order.\nAnswer: 0.02, r, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 + 15\/(-13)*-1)\/((-142)\/497)?\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -4*z**2 + 7*z + 345. Let d be w(10). What is the highest common factor of d and 4605?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 532059 to the nearest integer?\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 8, -3, 2 in decreasing order.\nAnswer: 8, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 1 = 3*b. Let l = -2667\/13 + 205. Is l <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/((1\/34 - 0)*4). Let d(w) = -6*w - 57. Calculate the least common multiple of 15 and d(l).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*u + 385 = -5087. Let h(n) = 152 - n**2 - 7*n + u - 298. What is h(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n - 2*n + 2*n)*(4*n**3 + n**3 - 3*n**3) - 2*n**3 - 7*n**4 + 2*n**3.\nAnswer: -5*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 5399168 to the power of 1\/3, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 3250*t**2 - 69*t + 328. Is r(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 455500 divided by -91100?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 12 and -2?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 158435 divided by -1?\nAnswer: -158435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 15*j**2 - 847*j - 254. What is d(57)?\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8190 and 6297060?\nAnswer: 245585340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 38349 and 1278?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/1*-2829*92\/19044?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 208773*z**4 - 5*z**3 + 18387029*z**2.\nAnswer: 5010552*z - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = t - 5. Let h = 20 - t. Let p = h - 6. Round p to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 116058.4765 to the nearest 10.\nAnswer: 116060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 856 + -734. Which is greater: -5 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -u - 3. Let r be i(-6). Suppose r*k = -2*k + 20. Suppose 0 = y - 5*x - 2 - 17, -2*x - 12 = k*y. Which is smaller: -1\/3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -358*m + 293*m + 390 = 0. Solve -2*u + 6 - m = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of d**2*j**2 - d*j**3 + 5*d*j + 130*d + 17260*j**3 wrt d?\nAnswer: 2*d*j**2 - j**3 + 5*j + 130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10 - 1) + -13 + (-2 - -13) + (19 - 0)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 81 not equal to 78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 32 - 27. Solve -v = 3*j + 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes before 7:47 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6*((-3)\/2 - -2). Let q = -32 + 43. Suppose q = -t*r + j, -2 = 2*r - 2*j + 4. Sort 1, -3, r in descending order.\nAnswer: 1, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 124*t**3 - 50460*t**2 - 938412*t - 4268052.\nAnswer: 4*(t + 9)**2*(31*t - 13173)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6\/173 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -238\/11, 0.5, -1 in ascending order.\nAnswer: -238\/11, -1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -2444.4 to the nearest 100.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.13948 + 0.53948. Put 3, 2\/13, 2, r, 3\/14 in ascending order.\nAnswer: 2\/13, 3\/14, r, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -79741.20236 + 79736. Let j = k + 5.2. What is j rounded to four decimal places?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -32709912 divided by -187988.\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 13108 and 14036.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n**2 - 2*n**2 - 4*n**2)*(-2*n**3 + 3*n**3 + n**3) + (-2*n + 0*n + 4*n)*(9*n**4 + 7*n**4 - 6*n**4).\nAnswer: 10*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17) + 1 + 0 + 0 + sqrt(17)*-2)**2.\nAnswer: -2*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -20496000 rounded to the nearest one hundred thousand?\nAnswer: -20500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*a - 1 - 11*a - 3*a**2.\nAnswer: -3*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 8591*j**2 - 6396.\nAnswer: 17182*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 4*a + k + 30 = 0, 6 = -a + k. Let j be (-2)\/8 + a\/(-8). Suppose -j*i + 0 - 1\/4*i**2 = 0. What is i?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 6 and 0.063.\nAnswer: 0.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -509 or -518?\nAnswer: -518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 48\/(-63)*(-18)\/8*140*(-11)\/(-88).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 2*u**2 - 5*u - 2. Let v be w(4). Suppose 1 = -l, -3*l - 5 - v = -3*c. Is 74\/c - (-3)\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((9 - 7 + 2)*(-8*b + 5*b + b) + 5 + 2*b - 5 + 4 + b - 4)*(-1 + b**2 + 1)*(b - 6*b + 4*b) as q + g*b**4 + h*b**3 + c*b**2 + d*b and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -2*v**2 - 5*v**2 + v**2 + 2*v**2. Let p(q) = -9*q**2 + 8*q**2 + 2 - 2. Give m(p(l)).\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 5 + 4)*(-4*z - 18 + 18 - 2*z - 2 + 2 + (z - 3*z + 4*z)*(-1 - 1 + 0) - z - z + 0*z - 2 + 2 - 2*z).\nAnswer: 28*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -8*k**3 + 4*k**2 + 19. Let a(o) = 24*o**3 - 11*o**2 - 56. Let n(j) = -4*a(j) - 11*x(j). Find the first derivative of n(m) wrt m.\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*j = -3729 + 3799 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 69 a factor of 432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((sqrt(256) - (sqrt(256) - -3*sqrt(256)))*4)\/(sqrt(72)\/sqrt(4)*3).\nAnswer: -32*sqrt(2)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 39 + -38.99999895. What is f rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 10271376 and 144.\nAnswer: 10271376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = 267 + 153. Is 14 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 2\/5, 1\/47, 6, 0.05, 0.5, 0 in descending order.\nAnswer: 6, 5, 0.5, 2\/5, 0.05, 1\/47, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2887338 and -0.7?\nAnswer: -2021136.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**3 - m**2 + 3*m - 2. What is c(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 53474633?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange f - 2 + 2 + (2 + 2 - 6)*(1 - 1 + f) + f + 2*f - 4*f + (-2 + 1 - 1)*(-4 + 4 + f) + 5*f - 7*f - 4*f to the form b + h*f and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 860 + 1386 = u, -u - a + 2238 = 0. Does 38 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 218779076204.918 - 0.5?\nAnswer: 218779076204.418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 7, i: 2, r: 3}. Give prob of sequence ri.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-16)\/24 - 3\/(9\/(-2)). Let p be (19 - 18) + -35245 + -1 + q. Let b = -64145 - p. Round b to the nearest 1000.\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4\/18743 or -1?\nAnswer: 4\/18743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*u - 21*u - 3 + 3.\nAnswer: -26*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 690 and 30.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -3 - (-9)\/6*(-14)\/21. Let d be ((-1)\/(-3))\/(s\/(-36)). Solve -4 = a + d*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12485 is divided by 147.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + sqrt(245) + 3.\nAnswer: 7 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 355 minutes after 3:20 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 u and 1 z when four letters picked without replacement from hhhulhuulze.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 96.25573 minutes?\nAnswer: 5775343800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*b + 505 = 505. Solve -t + 8*t + 21 = b for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -426*x + 438*x - 8064 = 0. Calculate the remainder when x is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 77 and 12523.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -930 + 960. Let f = 506 + -296. Calculate the greatest common divisor of d and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -798000.99 - 0.056.\nAnswer: -798001.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q**3 - 5*q**2 + 6*q + 5. Let r(y) = -3*y**3 - 14*y**2 + 17*y + 14. Let c(j) = -11*f(j) + 4*r(j). Give c(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00151153 rounded to five dps?\nAnswer: 0.00151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 61.48363 millilitres?\nAnswer: 0.06148363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 188 - 186. Factor -10*a + 8*a - l*a - 4*a**2 + 4*a**3 - a - 19*a.\nAnswer: 4*a*(a - 3)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3 + (1 - 4)*1. Suppose j = 15*x - 10*x + 440. Find the common denominator of 0 + (-2)\/(x\/(-94)) and -65\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 4 - 2)*((-2*j**3 + 0*j**2 + 0*j**2)*(-j**2 + 5*j**2 - 2*j**2) + 66*j**2 - 66*j**2 + 14*j**5).\nAnswer: -30*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the second derivative of -j**5\/60 - j**4\/24 + 6*j**2 - 9*j. Let t(x) be the first derivative of i(x). Let g = 0 - 3. Calculate t(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 90, -1\/3, 0.3.\nAnswer: -1\/3, 0.3, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 581*x - 578*x = 5*o - 29, -27 = 5*x - 3*o for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -187*t**2 + 32*t - 19. Let c(p) = -39*p**2 + 6*p - 4. What is -4*b(r) + 19*c(r)?\nAnswer: 7*r**2 - 14*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 179*l**3 - 358*l. Let u(z) = z. Let c(b) = 358*u(b) + w(b). Is c(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 times 0.459\nAnswer: 0.1836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 64346385 a multiple of 453?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -5*v + 3*v + 10*v - 5. Let q(c) = 4*c - 4. Let k(j) = 5*j - 4. Let f(o) = 3*k(o) - 2*q(o). What is -7*f(z) + 6*g(z)?\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -82 - ((-28 - (-14 + 3)) + 16) - 17.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = y**2 - 222*y + 1915. Calculate c(213).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -8 + -a6a5ca?\nAnswer: -a6a605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**2 - 3*w - 2. Suppose -534*i + 1787 + 4621 = 0. Calculate the least common multiple of t(-3) and i.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -2, 0, 2\/43, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-33)\/(-42)*(-152)\/418\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.03823173 to three dps.\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -2*i - 3*i + 4*i. Let w be ((-5)\/((-15)\/(-48)))\/2. What is the units digit of s(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 8*c + 6. Suppose -21*k - 12 = -27*k. Suppose -12 = -2*z - k. Let m(p) = 9*p + 7. Determine z*m(s) - 6*y(s).\nAnswer: -3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 4*m**2 + 0 + (2*m**2 + 2*m**2 - 2*m**2)*(-2 - 5 + 5) + 2*m**2 - 4*m + 4*m.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 26\/91 + (-5)\/(560\/116)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*x**2 - x**3 + 0*x**2 + (x**2 - 4*x**2 + 2*x**2)*(3*x - x + 0*x) + 3*x**2 - x**3 - 3*x**2 - 4*x**3 - 394027*x**2 + 2*x + 394198*x**2 + 3*x**3 + 2.\nAnswer: -5*x**3 + 171*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 69, 0.1, 54\/7?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 116 times -0.5?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-1)\/(a*a**6*a))\/(((a**(1\/3)\/a)\/a)\/(a**(2\/5)\/a*a)))\/(((a\/a**(-1\/4)*a)\/a)**40)**(-20\/9) assuming a is positive.\nAnswer: a**(4688\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/34*(-72624)\/9078?\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 9, f: 10}. Give prob of sequence fff.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dada when four letters picked without replacement from {d: 7, a: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 229712, 229632, 229554, 229478, 229404, 229332, 229262?\n\"Answer: j**2 - 83*j + 229794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 350 = 5*f, 0 = 114*f - 109*f + 3*z - 350. Solve -f = 248*o - 238*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2962763173?\nAnswer: 103, 659, 43649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:14 AM and 5:46 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -12 - 4. Let o be (-6)\/4 - 5\/10. What is the tens digit of (12\/n)\/(o\/64)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 774323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-15)\/12)\/1)\/(19\/(-152)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 2*p - 10. Let u be t(6). Let q = 0.958 - 1.008. Which is the biggest value?  (a) u  (b) -2\/7  (c) q  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that 3*b**3\/5 - 25032609*b**2\/5 - 100130472*b\/5 - 100130484\/5 = 0.\nAnswer: -2, 8344207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 4 = -68. Which is bigger: a or 31?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 3*b + 9. Let m(t) = 2*t + 5. What is 3*i(p) - 5*m(p)?\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is p in p**4\/4 + p**3\/4 - p**2 - p = 0?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f + 2. Suppose 3*p + 8 = 5*r + 25, r = 3*p - 13. Let v(k) = -k**2 + 4*k. Let b(z) = p*y(z) - v(z). Give b(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 2\/9  (b) -1\/2  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -9175\/6 - -1543. Let s = -45514 - -498736\/11. Let p = 10573\/66 + s. Find the common denominator of p and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 664 minutes before 6:28 AM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 84624760 to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2757 + 3039 + 228*l**2 - 929 + l**3 - 377*l**2 - 1763*l**2 wrt l.\nAnswer: 3*l**2 - 3824*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*z = 146 + 182, -5*u - 5*z + 3*z + 62 = 3*z - 3*z for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 54775 is divided by 411.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvfffvf. Give prob of sequence ffv.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.03505 and 1385.\nAnswer: 48.54425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -7*z. Let l(i) = 13*i + 11. Let k(f) = f + 1. Let d(b) = 22*k(b) - 2*l(b). What is d(h(x))?\nAnswer: 28*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = -11 + 1. Let u be 16\/24*2*15. Suppose 2*o = 4*y - u, -4*y - 2*o - o = -r. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 3\/5, 0.5, -3\/2, 0.174, -1\/7?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 11 = 4*a. Let o = 9 + a. Let q be (-44)\/(-8) + o\/4. Solve -q*c = -2*c + 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12)\/(-40) - 261\/290.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-156)\/9 - 2\/(-6). Let g = x - -8. What is the tens digit of (-6)\/g + (-84)\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 74449?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w**3 - 2017008*w**2 + 254274113472*w - 1017064182016 = 0 for w.\nAnswer: 4, 252124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d and 1 g when three letters picked without replacement from {g: 4, k: 4, d: 11}.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t + 382*u = 381*u + 79, -5*u = 7*t - 361 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -51 - -52. Let c be 4*(2\/8 + j). Solve -s = -0*s + c for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -313234 at most 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 37.98279cm to millimeters.\nAnswer: 379.8279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7*n + 16*n**4 + 11*n**4 + 5*n**2 - 7*n**2 - 1 wrt n.\nAnswer: 324*n**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 3\/40 of a kilogram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -11835880 divided by 4\nAnswer: -2958970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 24 = 3*h, -h = 6*p - 11*p + 20. Solve 0*z - p*z = 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 + 2 + 2)*(-7 - 4*u + 7) + 2*u + u + 8*u)*(0 - 1 + 11).\nAnswer: 30*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 683*s - 622*s - 244 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 0 + 0 - (-8 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -112 - -112.0000576. What is r rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**3 + 5*z**2 - z. Let g be x(5). Let b = 4.121 - 4.021. Sort g, 0.2, b, -1 in decreasing order.\nAnswer: 0.2, b, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 301*m - 3 = -300*m, -m - 9 = -3*g. Calculate the lowest common multiple of g and 113.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**3 + 506*p**2 + 14584*p + 14080.\nAnswer: 2*(p + 1)*(p + 32)*(p + 220)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2946 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 31*w - 1. Let o be t(1). Suppose 0*i + 5*i = o. Let f = 8 - i. Solve -3*b - 3*u - f*u = -21, b - 4*u + 10 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*d + 3*x - 6072759 + 67622768, 3*d = 2*x + 36930006. Round d to the nearest one hundred thousand.\nAnswer: 12300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4528 divided by 5870?\nAnswer: -2264\/2935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 97218711 to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 522 and 870.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.1 from 10358.282720411.\nAnswer: 10358.382720411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 360 - 379.3. What is b rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-301)\/14448)\/(((-63)\/56)\/3).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h, 1 d, and 2 c when four letters picked without replacement from uddddhdcdddpyhdcdcy?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the second derivative of y**5\/20 - 11*y**4\/12 + 3*y**3\/2 + 7*y**2\/2 - 36*y. Let b be p(10). Put -9, b, 4, 5 in ascending order.\nAnswer: -9, b, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.9 + 2.9. Sort j, -1, -0.4 in descending order.\nAnswer: j, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3, -28\/53, -0.5, -0.008?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k + 1. Suppose -x = 5*r - 6, -38*x = -43*x - 4*r + 9. Let z(y) = 8*y + 3. Let q = 93 + -99. What is q*p(i) + x*z(i)?\nAnswer: 2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 385 minutes after 9:24 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*o - h - 43, 11*o - 9*o + 2*h = -6 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1230294 is divided by 368.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) - ((sqrt(112) + sqrt(112)*1)**2 - sqrt(7)))*5.\nAnswer: -2240 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c**3 - 4*c**2 - c + 1. Let s be l(-5). Find the common denominator of 91\/2 and 1*s*1\/(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -88, -2, 2854 in ascending order.\nAnswer: -88, -2, 2854","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -g**3 + 8*g**2 + 8*g - 4. Let a be b(9). What is the tens digit of a*(3\/(-1))\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f**5 - 13*f**4 - 34*f**3\/3 + 10*f**2\/3 + 11*f\/3 - 1 = 0 for f.\nAnswer: -3, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -353*g**4 + 544*g**3 - g**2 + 139394?\nAnswer: -8472*g + 3264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 203419017.\nAnswer: 3, 22602113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 504 = -2*s. Let l = -26 + s. What is the greatest common divisor of 20 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(91)*3 - (sqrt(91)*2*2 + sqrt(91)))\/((3*sqrt(847) - sqrt(847))*2*3).\nAnswer: -7*sqrt(13)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8 + -13. Let x = h + 1. Let k be 1*15 - (-4)\/x. What is the greatest common divisor of 7 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -31\/6, -2\/5, 9, 0.4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Do 4766\/9 and -0.27 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjjrrr?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 39142.7241 times -0.1?\nAnswer: -3914.27241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 682 a factor of 7083252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 7929819785 - 1?\nAnswer: 7929819784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 98*y - 95*y + 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(5\/3)\/q*q\/(q\/(q*q**(-23))) assuming q is positive.\nAnswer: q**(-64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1404 - 495. What is the units digit of t\/6*384\/72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**3 + q + 132. Let z be i(0). Suppose z = 11*w - 22. Suppose 0 = -w*c + 5*c + 9090000. Round c to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -3*k + 12. Suppose -2*y - 5*n + 130 = k*y, 3*y + 4*n - 77 = 0. Suppose -42 = 2*l - 202. What is the remainder when l is divided by y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 477 - -a138?\nAnswer: a5b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 4*s**2 - 15*s + 4. Is q(-25) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 221304 and 186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*o**2*w**3 + 978*o**2*w**2 + o**2*w + 483*o*w**2 - o*w + 239237488*w**3 + 2*w wrt w?\nAnswer: 18*o**2 + 1435424928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 19160617*o**2 - 54211923*o wrt o?\nAnswer: 38321234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from myhxr. What is prob of sequence yr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 7664511 a multiple of 665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:03 AM and 6:20 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1813 is divided by 278.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -1750 equal to -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w**3 - 14*w**2 + 9*w + 44. Determine s(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -6*s**3 - 2*s - 5. What is g(-2)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -d**2 - 5*d - 3. Let t be k(-4). Solve -3*q + t = -2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 22002, 4, 1.\nAnswer: 1, 4, 22002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 180, 189, 202, 219, 240?\n\"Answer: 2*m**2 + 3*m + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 39997 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(121) - ((sqrt(121)*-1 - sqrt(121)) + sqrt(121))*1)\/(sqrt(11) + sqrt(396)*-1 - sqrt(11)).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = k + 2*b - 5*b, -3*k + 10 = -2*b. Let r(w) be the first derivative of -1 + 3\/2*w**k - w. Give r(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/3, -0.5, 2, -1.\nAnswer: -1, -0.5, -1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 44 + -5 + 1 - 0\/(-1). Let v = 58 - l. What is the greatest common divisor of v and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 229663 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 h(z) = -261*z - 760. Determine h(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 2*t**2 + 2*t + 10. Let v be y(4). Suppose -p = -3*p + v. What is the common denominator of (0 - p\/(-36)) + (-4)\/(-18) and 127\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2\/31 + -100\/589. What is the biggest value in 5\/4, c, -0.3?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8 and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 135*h = -13552 + 1071 - 1964 for h.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**1\/o)**37\/(o\/(o**(-1)\/o))**(19\/2)*((o*o**(-2\/15))\/(o*o**(5\/3)*o))**49 assuming o is positive.\nAnswer: o**(-1657\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/u**1)\/(u**(-1\/9)\/u*u))**(3\/16)*u*u*u**(1\/5)*u*u**(-2\/3)*u**(2\/7)*u*u\/(u*(u*u*u**(5\/3)*u)\/u)*u assuming u is positive.\nAnswer: u**(657\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 2, z: 2, x: 2, u: 2, a: 3, m: 1}. Give prob of sequence oo.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(156) + sqrt(156)*-4))\/(-2*sqrt(768)).\nAnswer: -3*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 divided by -63?\nAnswer: -37\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.2 + -0.4. Let v = -14 + 20. Let a be 9\/(-12)*2\/v. Is a equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 109*z**2 + 139*z + 1. Calculate h(-1).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) be the third derivative of i**5\/60 - 36*i**2. Let x(o) = -9*o**2 - 7*o**2 + 5*o**2. Give x(s(y)).\nAnswer: -11*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n + 16. Let c be t(-14). Suppose 3*q - 4*i = 9, c*q = -3*q - i + 15. Factor -20*g + 5*g**4 + 45*g**2 - 29*g**3 - 9*g**q + 8*g**3.\nAnswer: 5*g*(g - 4)*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -9*h - 45. Let l be b(-5). Suppose l = 9*a - 10*a + 20. Solve m + 4*m + a = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1 - 18\/10)*-5. Suppose 2*m = -m + v*i + 190, m - 60 = -2*i. What is the tens digit of 1\/(-1 + 64\/m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*l**5 + 4*l**5 + 2*l**5 - 7*l**4 - 497*l**5 - 7*l**4 + 498*l**5 - 9*l**5 - 10*l**5 + 15*l**5 + (0*l - 3*l + 0*l)*(6*l**4 - 3*l**4 - 2*l**4).\nAnswer: -3*l**5 - 14*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w - 24 = i, 109*i + 7 = 111*i + 13*w for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*p**4 + 3557581*p*y**3 - 5138727*y**3 + 7*y**2 wrt p.\nAnswer: 8*p**3 + 3557581*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in fourty-five quarters of a century?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-4)*v**(6\/7))\/(v**6*v\/v**5))\/((v*v**(-2\/13)*v*v*v\/v**5)\/(v**(-7\/2)\/(v\/((v**4*v)\/v*v*v*v)))) assuming v is positive.\nAnswer: v**(-271\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20 + (11 - -8) + (-2 - -7) + -10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -96 - -161. Let m be 2\/(-1) - 24\/(-3). Let i(r) = r**2 - 3*r - 5. Let p be i(m). What is the greatest common divisor of c and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 6.437325 days?\nAnswer: 9269.748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*s - 3*s + 12*s + 2*s.\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -25 + 22. Suppose -12 = f - 4*f. Suppose -2*c = -c + f. Is c at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3.42 and -0.17.\nAnswer: -0.5814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 180214657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 511 a factor of 189250383?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 61 at most as big as 1375\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/2 of a kilogram in grams?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -4*w + 7*w - w - 8 - 3*w. Let l be o(-14). Solve l = -5*d - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z**3 - 12*z**2 - 23*z - 25. Let w be h(-10). Solve -w*r + 13 - 3 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -u + 4. Let n be m(-8). Let x = n + -1. Find the common denominator of -33\/5 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - l + 3*l - 2)*(-2*l + l + 0*l)*(-l + 3 - 3) to the form f + h*l**3 + j*l + i*l**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 7) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 11 - 8. Suppose -o*a - 4 = -4*a. Suppose 0*p - 4*p = i + 2900016, a*i + 11599996 = p. What is i rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-3)*d)\/(d**5\/d))\/(d\/(d\/(d*d**(-2\/3)\/d)*d))**30*((d**0\/d)**(-2\/15))**(22\/3) assuming d is positive.\nAnswer: d**(2024\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the first derivative of 7*g**2 - 5*g + 21. Let y = -11 + 18. Is l(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 3 = -2*x - 7, 0 = 3*x - 2*d + 18. Let q be 1199997\/(-2) - (78\/(-12) - x). Round q to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c\/(c*c*c**45)*c**16 assuming c is positive.\nAnswer: c**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:30 AM and 4:42 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-10\/11))**(1\/2)*n*(n\/n**(-13\/5))\/n*n\/(n\/(n*n*n**(-24)*n))*n assuming n is positive.\nAnswer: n**(-927\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 354345599.\nAnswer: 354345599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(146412\/(-2401) + 61)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(51)\/sqrt(3) + -1*(sqrt(17) + sqrt(17) + -1))**2 - (-4 + -1*sqrt(17) - (sqrt(17) - (3 + sqrt(17) + sqrt(17)*2)))**2) + 3.\nAnswer: -14 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 40 - -143141?\nAnswer: 143231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -187 - -165. Let k = r - -505. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*j = 151*j - 19375. Let t(i) be the first derivative of -i**4\/4 - 5*i**3\/3 - 5*i**2\/2 + i - 5. Calculate the remainder when j is divided by t(-5).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 100882, 201764, 302646, 403528?\nAnswer: 504410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**3 - 438*r**2 - 39127*r - 629. Calculate y(-313).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t + 11. Let q be u(-9). Let g(l) = 4*l**3 + l**2 + l - 1. Is g(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 266\/973709 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (2*7 + (9 - (9 + 3)))*(45 + -48)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -103\/168 and 67\/6.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = 4*j - 28, -7*j + 2*o + 8 = -3*j. Let d = 7 + -7. Suppose -2*c + d = -2. Solve -i + c = -5*x, -x - i - 3*i = -j for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o + 2*a = a + 8, -4*a = -152*o + 4*a + 7*a - 974 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 20563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -16629, -16570, -16469, -16326, -16141?\nAnswer: -15914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 61400\/(-3 + (0 - -4) - 2). Round b to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -100 (base 4) in base 6?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o = -4*v - 2 + 10, 32*v - 28*v = -3*o - 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2204?\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 383 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -29 + 14 + -29 + -37.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 14213861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**3 - 8*r**2 - 30*r - 38. Determine x(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2365 and 230.\nAnswer: 108790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 8721, 9328, 9941, 10560, 11185, 11816, 12453?\n\"Answer: 3*p**2 + 598*p + 8120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -111 - -1001001100?\nAnswer: 1001000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 7*v + 41. Let q be s(-6). Put 3, 1, 2, q in increasing order.\nAnswer: q, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -29247 + 29155. Sort a, 3, -30.\nAnswer: a, -30, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1786021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((1 + sqrt(112) + 0 - sqrt(112))**2 - sqrt(112)) - ((4 + (sqrt(112) - (sqrt(112) + sqrt(112)*1)))**2 + 3).\nAnswer: -126 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2548*y - 1643*y - 811*y + 1545*y to the form v*y + z and give v.\nAnswer: -3457","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: What is d in -1\/2*d**3 + 1\/2*d - 1\/2 + 1\/2*d**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -307*f**2 + 361*f**2 - 510*f**2 - 1321*f**2 - 348*f**2.\nAnswer: -2125*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00019442448 rounded to seven dps?\nAnswer: -0.0001944","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -200 - -25201?\nAnswer: 25001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 1, s: 1, q: 1}. Give prob of sequence qsn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 143, 100, -111, -490, -1037?\n\"Answer: -84*y**2 + 209*y + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1034, -8267, -27948, -66317, -129614, -224079, -355952, -531473?\n\"Answer: -1040*m**3 + 16*m**2 - m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 19077403171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 3\/8  (b) 2917\/6  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -3*m + 4. Let d be c(5). Let w(j) = 2*j + 27. Let x be w(d). Solve -s + 3*l = -x, 3*s + 3*l = 5*l + 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 (base 16) in base 7?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -83*f**5 + 17*f.\nAnswer: -1660*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r**3 - 4*r**2 + 7*r - 3. Let v(b) = b**3 - 3*b**2 + 6*b - 3. Let x(g) = 4*a(g) - 5*v(g). What is x(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.15?  (a) -5  (b) 0.092  (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2188727 or 6566183\/3?\nAnswer: 6566183\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**14\/g**(-3\/10)*g\/g**(2\/35)*g*g*g*g*g\/(g*g\/g**(-1\/2))*g assuming g is positive.\nAnswer: g**(656\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**3\/3 + 41*p**2 - 1240*p - 3844\/3.\nAnswer: -(p - 62)**2*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 4, s: 3, j: 1, t: 5}. Give prob of picking 3 t and 1 s.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 67 = 5*i, -12 = 2*i - m + 15. Suppose 0 = 4*p - 3*p. Let t be (-8 + 4 + p)\/(4\/i). What is the greatest common factor of 42 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -117*p + 3834 + 7303 = -4598 + 4620 for p.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3010891 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5\/22 in -13, 0.1, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 159 a factor of 249644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (5 + 10)*4\/6. Let j be 6*(l\/6 + -1). Suppose 4*u - 16 = -x, j*u - x - 16 = -3*x. Which is bigger: u or -2\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from llllollltllllloo. What is prob of sequence ol?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*(sqrt(84) + sqrt(84)*-2)*-6*-4)\/(((sqrt(1200) - (sqrt(1200)*-1 + sqrt(1200)) - sqrt(1200)) + sqrt(1200))*2*1))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 6, t: 6}. What is prob of picking 3 p?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 166429504?\nAnswer: 2, 2600461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -158*z + 3489*z + 453*z.\nAnswer: 3784*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 74 by -10.\nAnswer: -37\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*q + 327*q + 34*q - 8050 = 0 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*f + 2. Let b(d) = 8*d**2 + 2*d + d**3 + f*d + d - 1. Let y be (-1)\/((-2)\/(-2 - 12)). Calculate b(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 46*m + 11. Is p(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 16*w**2 + 576*w - 144. Let n(l) = -l**2 - 4*l + 1. Determine -4*j(a) - 576*n(a).\nAnswer: 512*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.55 - -54.55. Let p = -54.000069 + i. Round p to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q + 2*q. Put q, 3, -3 in decreasing order.\nAnswer: 3, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 76*l + 41*l + 85 = -36*l, 4*l - 12 = 0. Suppose -5*q + 58 = -3*q. What is the remainder when a is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -9 less than or equal to 1069758.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 6  (b) -1021  (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 11*f - 14*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2098, -2093, -2088, -2083, -2078, -2073?\nAnswer: -2068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that -d**3\/7 - 966346*d**2\/7 - 20292803*d\/7 + 21259150\/7 = 0.\nAnswer: -966325, -22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 18 = c. Find the common denominator of (-4)\/(-5) - (-6)\/4 and 1\/(-4)*(5 + (-3)\/c).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8860 - -70793\/8. Let v(g) = g - 4. Let d be v(0). Calculate the common denominator of n and d\/(-10) + (-477)\/30.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 333459?\nAnswer: 3, 7, 67, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 10\/(-3)*-3*1\/2. Solve -3*c + 6 = -w, -2*c + 6*c = -d*w + 27 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 137251 is divided by 26800.\nAnswer: 3251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -874, -872, -870?\n\"Answer: 2*g - 876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7\/126*-9 - (-382)\/(-60)) + 7?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the second derivative of -263*v**4\/6 - 3*v**3 + 15*v**2\/2 - 51*v + 2. Find the second derivative of c(w) wrt w.\nAnswer: -1052","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -2, -4 in descending order.\nAnswer: 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -14077 divided by -2?\nAnswer: 14077\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -123.374 equal to -17\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0.0518*-276257\nAnswer: -14310.1126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -6*-2446794\nAnswer: 14680764","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 5}. What is prob of picking 2 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 52 - 36. Suppose -10*c - 8*c + 6*c = -48. Solve x + 3*x - 31 = 3*v, -c*v - x = m for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (2 - 2 - 30)\/(-2). Suppose -7*g + y = -12*g. Let d(a) = a**3 + 2*a**2 - a - 3. Give d(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 x when two letters picked without replacement from {c: 1, x: 2, j: 1, g: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 3*g - g = -2, 0 = -5*l + g + 10. Let y be 0 - ((-8)\/l - 0). Suppose -8 + 48 = y*b. Calculate the remainder when b is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 4*g + 30 = b, g = -b + 10. Let j(r) = 3*r - r - b*r. Let c(y) = -3*y. Determine c(j(s)).\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 4*s - 7. What is the units digit of f(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kmppppmmpmmjmjpmj. Give prob of sequence kp.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2a + -3?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.132708 rounded to two dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10864.\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 112*k**2*r**3 - 3*k**2*r**2 + 349*k**2*r + 6*k**2 + 19*k*r**3 + k*r**2 + r**3 wrt r.\nAnswer: 672*k**2 + 114*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3777 - 546 + 203 = 206*b for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -20*((-1)\/2)\/1. Suppose a + 1 = o. Suppose -2*s - 2*m - 1 = -a, -s = -3*m + 4. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 28474231 and 699.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Let p = -1350 - -1355.87. Let g = -5.870559 + p. What is g rounded to 5 dps?\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n + 25. Calculate z(-47).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -88073, -176127, -264181, -352235, -440289?\n\"Answer: -88054*g - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p**4\/5 - 276*p**3\/5 - 2*p**2\/5 + 276*p\/5 = 0. Calculate p.\nAnswer: -1, 0, 1, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -33 - (-14 - (-15 + 17))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2  (b) 11  (c) -4  (d) -7  (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the third derivative of -c**8\/504 - 4*c**7\/315 - c**6\/36 - c**5\/45 - 10*c**2. Factor o(t).\nAnswer: -2*t**2*(t + 1)**2*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -4*p + 1. Let n be u(2). Let k = n + 17. Calculate the greatest common divisor of k and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -67\/495 and -62\/117.\nAnswer: 6435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.2 to two dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/1217870 and -49\/2922888.\nAnswer: 14614440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2032 - -1021?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 e when two letters picked without replacement from kktkztekktkkkkk?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4  (b) -10  (c) 1  (d) -0.1  (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 25685311 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7.03*-0.4.\nAnswer: -2.812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -607, -1200, -1791, -2380, -2967?\nAnswer: -3552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 11197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*h - 66 = 3*h. Suppose 3*k + 21 = -3*d, 5*d - 4*k + 22 = -h. Find the common denominator of 99\/10 and 27\/d - (6 + -3).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -85*i + 37*i = 450*i - 18426 for i.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-4)\/(-3))\/((-240)\/(-632160))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3\/2, -1\/31, -0.9, -1?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3909?  (a) -1  (b) 2\/17  (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the second derivative of y**5\/4 - 5*y**4\/4 + 5*y**3\/2 - 5*y**2\/2 - 20*y. Let c(w) = 0. What is w?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -15*v**3 - 2*v**2 + 2*v + 1. Is 36 a factor of l(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by 2459?\nAnswer: 1\/2459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-130)\/(-40) - 4\/16. Let x = -33 + 34. Put x, 5, -3, k in increasing order.\nAnswer: -3, x, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bggngbggbkgnggbg. What is prob of picking 1 k, 1 n, and 2 g?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**25\/k)**(-7\/5)\/(k\/k**28)**(-2\/25) assuming k is positive.\nAnswer: k**(-894\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -63 + (0 - (8 - (-3 - -7))) - (-101 - -89)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 minutes before 5:48 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-28 + 14 + -30)*(-5 - 136\/(-32))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the first derivative of d**3\/3 - d**2\/2 + 132. Let z(t) = -4*t + 4*t**2 + 0 + t - 1. Calculate 5*f(w) - z(w).\nAnswer: w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1306 - 1791. Which is greater: d or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*l - 3*l + 3*l**3)*(-3*l + l + l) + 3*l - l**4 - 3*l - 3*l**4 + 3 - 3.\nAnswer: -7*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 72, 21, -1, 0.4, -3\/2?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -149*d + 90 + 256 = -322*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 8*h = -29144. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 + 3 - 43 = -4*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 63*o**2 + o - 1. List the prime factors of s(1).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 77 and 187.\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (42 + 33*h - 42)*(13*h - 13*h + 17*h**3).\nAnswer: 561*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 + -3 + (-78)\/3. What is the remainder when -3 + 2 - (i + -1) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7503826013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the third derivative of y**5\/30 + 2*y**2. Let z(h) = -523*h - 536. Let r(s) = 32425*s + 33500. Let j(d) = -2*r(d) - 125*z(d). Give t(j(b)).\nAnswer: 551250*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 29042807 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 15633360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*o - n - 15, -o + 2*o + n = 1. Let a = -6 - -14. Calculate the lowest common multiple of a and 11\/2 - 2\/o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:12 PM and 9:54 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(242)\/(sqrt(176)*-1))\/((-2*sqrt(8)*2)\/(sqrt(192)\/sqrt(12) - sqrt(4))).\nAnswer: -3*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 9*j = -156. Is 10 <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(847) + (sqrt(847) - (sqrt(847) + -1 + 5 + sqrt(847))) + sqrt(847))**2 + sqrt(7) + sqrt(28)\/sqrt(4) + -1 + sqrt(7) + 2.\nAnswer: -85*sqrt(7) + 864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -6, 6.08, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - (3 + -7) - 20.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y - 3*m = 15, -3*y - 5*m - 2 = 4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -23 in -0.069, 1\/9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c**(-6)*c)*c*c\/c**(-3\/2)*c**6*(c\/c**(-3))\/c)\/((c**2*c)**(2\/25))**(-42) assuming c is positive.\nAnswer: c**(1429\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbvbbbbbbbbbbbbvbbb. Give prob of sequence vbb.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n**4 - 36*n**3 + 126*n**2 - 132*n + 45 = 0 for n.\nAnswer: -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 262450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -2*p - 10 - 11 + 21. Let f(i) = 51*i. Calculate l(f(x)).\nAnswer: -102*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2017041 is divided by 75.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -50, -98, -146, -194?\n\"Answer: -48*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 100\/25*2\/(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 0*d = 3*d + 2, 5*o - 5*d = 10. Let g = 123.9 + -124. Which is the nearest to 1\/3?  (a) g  (b) o  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 98216 and 24?\nAnswer: 294648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 86 = 2*t, 0 = 5*u - 4*t - 3 - 124. Let d = 2 + 4. What is the remainder when u is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 40 and 272?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-100)\/36 - (-2)\/36*-4. Let g be -2 + -3*(r - (-32)\/12). Put 2, g, 5, 0 in descending order.\nAnswer: 5, 2, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.28212397 rounded to four decimal places?\nAnswer: 0.2821","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/(-36))\/(1*(-2)\/(-16))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*k**2 + 1383*k - 5580.\nAnswer: 3*(k - 4)*(k + 465)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 157 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 10*l - 5*l**2 + 4*l**2 - 4*l + 0*l**2. Let q(o) = -o**2 - o. Let x(k) = -3*q(k) + t(k). Give x(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 9*d - 9*d + 17*d + 17 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 5*w**2 - 32*w + 8. Let n be l(8). What is the greatest common divisor of n and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((-4 + sqrt(48)*-1 + (sqrt(480) - (3*sqrt(480) + sqrt(480)))\/sqrt(10))*2)**2.\nAnswer: 512*sqrt(3) + 3132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 9*j + 7. Let b(a) = -17*a - 12. Let r(c) = 4*b(c) + 7*k(c). Calculate r(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*n - 3*n - 24 = 4*s, 4*n - 5*s - 10 = 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + ((1 + sqrt(243))*-6)**2 + 3 + (sqrt(243) - (0 + 2 + sqrt(243))).\nAnswer: 648*sqrt(3) + 8787","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 672.3 + -592.468. Let p = 50.8357 - n. Let b = p + 29. What is b rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 97944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y**3 - 5*y**2 + y - 17. What is n(6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 4 + (3 - (-4 + 3))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17805001.\nAnswer: 17, 61609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-10)\/2*4\/(-5). Suppose 4*b - d = 80. Suppose -3*q + b = -6. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 9 - 17)*(-5 + 5 + g) - 1 + 0 + 8*g + 1.\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 55144*l - 27575*l - 27566*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2 + 0.8. Let k = -3 + p. Let d = -289.64 - -293.64. Which is smaller: k or d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -1\/7, -3, -7\/4, -6, -0.04, -4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 8 = 6*z. Is (z + -129)\/(-1) + 2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11010010101001 - -1000010100010?\nAnswer: 100010101001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 15396507 + -2096104.\nAnswer: 13300403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 37*t**2 + 34*t**2 - 18*t**2. Let y(o) = -o**2. Calculate d(y(r)).\nAnswer: 53*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 0.2724099 centuries?\nAnswer: 2.724099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4.54 in -5\/2, -5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.18423 + -0.8.\nAnswer: -0.61577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -4*j - 11. Let r be d(-4). What is the second derivative of 95*v - 2*v**4 + 2*v**4 - 73*v + 35*v**r wrt v?\nAnswer: 700*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3583577 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 2*y + 2. Let x be m(-5). Let p be 90*(x\/10)\/(-2). 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: In base 6, what is 3540332 + 3425?\nAnswer: 3544201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6 - -19\/3. Suppose -182*c = 83*c + 78*c + 121*c + 464. Let y = -1.3 + 0.3. What is the closest to c in -4, y, k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -67371*1\nAnswer: -67371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*f + 6 + 87 + 5*f - 5*f.\nAnswer: -2*f + 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:32 AM and 10:59 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1*(1 + 1) - -3. Suppose -k = 5*n - 63, 6*k - 3*n - 153 = 3*k. Suppose 4*g + 15 - k = 2*y, 2*y - 10 = 0. Solve o = m*o - g for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -514, -549, -584, -619?\nAnswer: -654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3 + -2574769?\nAnswer: -2574766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 2*a - 16 = 2*a, -4*p = 5*a - 25. Suppose l = -p*t - 27, l + 3*l + 33 = -5*t. Let s be 5*(l - 21\/(-15)). Put s, -1, -2 in ascending order.\nAnswer: s, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that -q**2\/4 - 4*q + 17\/4 = 0.\nAnswer: -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000392 rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-1)\/12)\/(1\/(-2)). Let h(j) be the second derivative of j + 0 - 1\/20*j**5 - b*j**3 + 0*j**2 + 0*j**4. What is the second derivative of h(y) wrt y?\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 + 14 + (9 - (20 + 15))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.54 - 79.46. Let l = 79.999879 + j. Round l to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w**5 + 15*w**4 - 10*w**3 - 30*w**2 + 5*w + 15 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 53832968 is divided by 8249?\nAnswer: 8243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.3 or 1\/134?\nAnswer: 1\/134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 11074597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2307681230?\nAnswer: 2, 5, 31, 239, 31147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 117 and 153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*(sqrt(132)*2 + sqrt(132) + sqrt(132)) - ((sqrt(132)*2 - sqrt(132))*1 - sqrt(132)))\/(((sqrt(84) + (sqrt(84) - 3*sqrt(84)))*-2)\/sqrt(7)))**2*-2.\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 440787913 to the power of 1\/2, to the nearest integer?\nAnswer: 20995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 47296 greater than 181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 688876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -3*v + v**2 + 3*v. Let g(y) = -y**3 + 6*y**2 - 3*y - 7. Let m be g(5). Let c(h) = 0*h + 3*h**2 + 3*h - m*h. Give c(p(a)).\nAnswer: 3*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s*s**(-14)\/s*s**(2\/45))**(-27) assuming s is positive.\nAnswer: s**(1749\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 0*w + 30 = 0. Let c(l) be the first derivative of 1 + 5\/3*l**3 + 2*l + 1\/2*l**2. Let m(s) = s**2. Calculate w*m(g) - c(g).\nAnswer: g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y**4\/9 - 62364*y**3 + 13124410054*y**2\/3 + 787689129640*y\/9 = 0.\nAnswer: -20, 0, 140329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o + 2*o**2 + o)*(o**2 + 2 - 2) + o**4 + 5*o**4 - 4*o**4 - o**3 + o**4 + o**3 + 0*o**4 - 2*o**4 + 4*o**4.\nAnswer: 7*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 153 minutes before 5:54 PM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 69303977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*r + 4*c - 17 - 23, 3*c - 46 = -5*r. Is r a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 50357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -115 (base 11) to base 10\nAnswer: -137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 10) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is k in 2*k**3 + 4*k**2 - 10*k - 12 = 0?\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2643*c - 2443*c + 6865*c to the form w + o*c and give o.\nAnswer: 7065","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = -12 - 12. Let g = 32 - d. What is the remainder when g is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(72) + 1 + sqrt(72) + 1*sqrt(72) + -1)**2 + -3.\nAnswer: -108*sqrt(2) + 654","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in fifty-one fifths of a hour?\nAnswer: 36720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-386042)\/(-114))\/(2\/30) - 6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) -2.51  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:06 PM and 10:06 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -52 + 160. Let q = -108 + b. Let k be (-6)\/9 - -4 - 4. What is the closest to q in 3\/7, k, 5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -49.0598041643 and 0?\nAnswer: 49.0598041643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*u**2 + 2*u**3 + 11*u**2 - 4*u**2 + 2*u**4 to h*u**4 + w + x*u**3 + a*u**2 + m*u and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j**5\/6 - 37*j**4\/3 + 140*j**3\/3 = 0. What is j?\nAnswer: 0, 4, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 5*d + 7. Let k be 12\/9*-3 + (d - 53). Let p = 90 + k. What are the prime factors of p?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11136 = 337*z - 221*z. What is the highest common divisor of z and 7968?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101100010 - 10001101?\nAnswer: 11010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 87821, 87998, 88175, 88352, 88529, 88706?\n\"Answer: 177*l + 87644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 55, 70, 85, 100?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/8  (b) 1.1  (c) 22554  (d) 3  (e) 1\/4  (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*b + 2*b - 2*b**2)*(b**2 + 8*b**2 + 2*b**2 + 4*b**2 + 6*b - 6*b + (-b + 3*b - 3*b)*(0*b - b - b)).\nAnswer: -34*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -524*i + 3*w = -522*i + 9, 0 = -4*w + 12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 119 is divided by 55?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-423)\/(-372))\/3*-2 and 56\/11.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j**2 - 492*j - 493 = 0. What is j?\nAnswer: -1, 493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 328680.\nAnswer: 2, 3, 5, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 61.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 5*i + 3. Determine f(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 21 + -13 + -2 - 55\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -67.835 rounded to the nearest integer?\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand a**3 + 2*a - 2*a + 4*a**3 - 3*a**3 + a**3 + (0*a + 0*a + a**2)*(-2 - a + 2) + 3*a**3 + 0*a**3 + 4*a**3.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 48630 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-51504)\/4662 + (-1)\/(-21)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*d - 7*d + 22*d + 48*d)*(2*d**2 + 2*d**2 - 5*d**2).\nAnswer: -59*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -6*x - 1 + 7*x**2 - x**3 - 4 + 4. Is b(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7833 + 7835. Solve 3*y + 3*i = 6*i + 3, -2 = -w*y - i for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32\/20*185\/(-518).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2830033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 135*f**4 + 80*f**3 - 80*f**2 - 190*f. Let n(g) = 5*g**4 + 3*g**3 - 3*g**2 - 7*g. Let o(k) = -55*n(k) + 2*y(k). Factor o(h).\nAnswer: -5*h*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 607 minutes after 3:07 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -61 - 76*l**4 + 142 - 4*l**2 - 2*l - 62 wrt l.\nAnswer: -1824*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-369)\/756 + 32\/7 + -4?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 68303 + -68284. Suppose 2*v - v = 171. What is the highest common factor of t and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 378781654 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 190 and 3154.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 610 is divided by 187?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*w - 3*w + w)*(-3*w + w + w) + 3*w**2 + w**2 + 5*w**2 as l*w + x + h*w**2 and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -34 + 19. Let w be (-11)\/(-3) - r\/45. Suppose -2*v = w, -2*g + v + 316 = -0*v. Is 53 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 47 = 37. Let c(g) = 2*g**3 - 2*g**2 + 46*g - 195. Let t be c(4). Let x = l - t. Sort x, -5, 1 in ascending order.\nAnswer: -5, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 12 + -11. List the prime factors of p\/(1\/20) - 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1373 + 1373.000234. Round m to 5 decimal places.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c**3 - 12*c**2 - 29*c - 2535. Determine q(-21).\nAnswer: 2043","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:46 AM and 10:09 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d**(-1)*d)\/d*d*d**(2\/3))\/((((d*d**0)\/d)\/d)\/d*d*d)**(11\/4))**19 assuming d is positive.\nAnswer: d**(38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 7  (b) 2\/15  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -8*v**2. Let j be ((-8)\/(-24))\/((-2)\/(-42)). Suppose -5*p = -4*l - 24, 21 = 2*p + 3*l - j. Let u(c) = 8 - c - p. What is u(i(h))?\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*u - 11*v - 22, -19 = u + 3*v - 13 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -d**3 + 12*d**2 + 12*d + 12. Suppose 2*s = -5*r + 1546, -r - s = r - 619. Let w = -295 + r. Calculate j(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -2186, -903, 380, 1663, 2946, 4229?\n\"Answer: 1283*a - 3469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 2 = -v - 11, 0 = -3*v + 5*w + 28. Is -4 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - 2 - (-15 - (-5)\/5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -111687903 to the nearest one hundred thousand.\nAnswer: -111700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 14810867459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -4*o + 11. Let q be -3 + (o - 6\/2). Let p be ((-1)\/2)\/(q\/(-8)). Solve p*v - 2 = 10 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 46*s. Let h(b) = -7*b. Give h(m(u)).\nAnswer: -322*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (7\/(28\/40))\/(4\/6). Factor -19*p**2 - 14*p**2 - 20*p + 38*p**2 + s.\nAnswer: 5*(p - 3)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u**(1\/3)\/((u*u\/(u\/(u**(3\/5)\/u)))\/u))\/(u**(-4\/5)*u\/((u\/((u\/(u*u*u**(-2\/13)*u))\/u))\/u*u)))**(9\/4))**(-8) assuming u is positive.\nAnswer: u**(-5124\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4)\/18 + 4060\/45. Suppose 0 = 3*z - 6*z + u. Solve -z + 5 = 5*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (6 - 6)\/(0 - 1). Suppose q - 3*k - 14 = 31, z = 2*q - 4*k - 100. Calculate the highest common divisor of 40 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.684 - -475.684. Let s = n - 475.0277. Round s to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a millennium in years?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(3078)*-2*-6 - sqrt(3078)) + (sqrt(3078)*1*2 + sqrt(3078) + sqrt(3078) - sqrt(3078)))\/(-4*(2*sqrt(98)*-2 + sqrt(98))).\nAnswer: 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 125 bigger than 0.19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4936 is divided by 190.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -0.11, -2, -4, 21, 2\/89.\nAnswer: -4, -2, -0.11, 2\/89, 0.1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the third derivative of 1\/224*w**8 + 0*w**6 + 0*w**5 + 0*w**4 + 58*w**2 - 1\/140*w**7 + 0*w + 0*w**3 + 0. What is u in t(u) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 133\/809 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 872591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52 = -96*p - 244 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - 57\/(-18) - 38\/12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 98*h + 68. Let i = -51 - -58. What is the hundreds digit of t(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4905 less than -511082451?\nAnswer: -511087356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 421 - 420.8. Which is the second biggest value?  (a) -30  (b) -4  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**2 + 4*g - 3. Let i be f(-5). Suppose -i*h + 276 = -976. Let q = h - -1034. What is q rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/(-8))\/((-120)\/(-64)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1\/757 or 57775?\nAnswer: 57775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -9\/4 in -0.13, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 172 + -170.59. Let x = 0.41 - m. Let h = 0 + 0. Is h less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 79 + -76. Calculate the common denominator of -63\/256 and (l\/(-24))\/(12\/(-732)).\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 4, n: 1, p: 3, s: 1, m: 2}. Give prob of picking 1 s and 1 m.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -7*r - 2. Let f be k(-2). Suppose -2*i - 3*i = -5*v, -5*v - 6 = -3*i. Is f + v*1\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1813*j = -1795*j - 1926. Suppose 0 = 8*f - 4*f - 72. What is the remainder when j is divided by f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8525 and 220.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k - 34 = -p - 27, 0 = 4*p + 4*k - 20 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 3028*l - 36866. What is j(12)?\nAnswer: -530","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -15366716*p**2 - 3*p + 133011387 with respect to p.\nAnswer: -30733432*p - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12*(4\/(-32))\/((-10)\/(-8))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 34 (base 9) in base 5?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -12*r + 12. Determine q(7).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (20\/25)\/(4\/10). Let p = -1 + b. Let u(q) = 13*q**3 + 2*q**2 - 2*q + 1. Give u(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 16863572*l**5 - 12*l**4 - 56183168*l**2 wrt l.\nAnswer: 1011814320*l**2 - 288*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -0.18498005 * 1.5\nAnswer: -0.277470075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -15441 - -1?\nAnswer: -15440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 129939\/1301 + 697341196\/136605. Let b = f - 36440\/7. Calculate the common denominator of b and 61\/24.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -u - 17. Let p be b(-11). Let r(f) be the third derivative of f**6\/120 + 7*f**5\/60 + f**4\/4 + 4*f**3\/3 - 963*f**2. What is r(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1288907 by -293.\nAnswer: 4399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from iddddddi.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 426294838?\nAnswer: 2, 29, 7349911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/4*3*4. Let o(b) = 1 + b**2 - 6 + 0*b + 5*b + 1. What is the units digit of o(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 e when two letters picked without replacement from qeeqeqrekpqrepl?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 340870 and 975440.\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3052917 and 55419.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:27 AM and 2:18 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1040 less than or equal to 1039?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -47850 bigger than -47847?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 9) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-87)\/((-32625)\/(-100)))\/((14\/(-36))\/7)\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 3*t + 23. Let u be l(-23). Let c = u - -47. Solve 2*q = -2*b - 6, -2*q - 3*b - c = 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 85 - 107. Let j = b + 24. Solve 2*k + j*k + 4 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29786257 to the power of 1\/3, to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:22 PM and 12:35 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44*c = -41683 + 121543. Let i(a) = 1815 + a + c - 3630. Let l(g) = 79*g. Give i(l(b)).\nAnswer: 79*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*p - 4 = -4*k, -2*p - 4820 = -4816 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 397999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r**3\/3 - 6508*r**2\/3 + 26008*r\/3 - 26000\/3 = 0. Calculate r.\nAnswer: 2, 3250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, j: 1, l: 4, x: 2}. Give prob of picking 2 x and 1 b.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 7, m: 2, a: 3, w: 3}. Give prob of sequence smm.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3715 is divided by 925?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -109208, -219655, -330102, -440549?\nAnswer: -550996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 0.8092732 minutes?\nAnswer: 48556392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*h**3 + 380*h**2 - 9212*h + 8836.\nAnswer: -4*(h - 47)**2*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s**3 + 19*s**2 + 69*s + 43. Calculate m(-15).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 38*d - 27*d - 24090. Is 15 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -3*c - 1. Let z(n) = 16*n + 6. Let r(h) = -12*h + 3. Let l be r(2). Let o = -23 - l. What is o*z(k) - 11*u(k)?\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = -2*v + 17, y - 10 = -y + 5*v. Let c be 12*6\/12 + -1. Sort y, 2, c, -2 in descending order.\nAnswer: c, 2, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -16 - -22. Let a be 1*-6*(-2)\/n. Suppose -5*h = -2*y + 57, -a*y - 2*h + 15 = -7. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2590 = 17*k + 210. Is 6 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 4*y**3 - 3*y**2 - 6. Let n(v) = -7*v**3 + 5*v**2 + v + 13. Let q(m) = 3*n(m) + 5*r(m). Is q(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l + 2*l - 6*l - 3 + 7*l**2. Let s be (-6)\/(-3)*(-3)\/2. Let x(q) be the second derivative of -q**4\/3 + q**3\/2 + q**2 + q. Give s*f(g) - 5*x(g).\nAnswer: -g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 157, 110, 63, 16?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -102, -10049, -1, -2 in descending order.\nAnswer: -1, -2, -3, -102, -10049","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put together 3 and -0.023.\nAnswer: 2.977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -3, 80\/17, -34, 4, 0.2?\nAnswer: 80\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m**3 + 4*m**2 - 5*m - 1. Let v be s(4). Suppose -6*d = -4*d - q + 42, -d - 5*q - 10 = 0. Which is smaller: d or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) be the second derivative of 1\/60*b**5 + 0*b**2 + 0 - 5\/6*b**3 - 1\/6*b**4 + b. Let g(w) be the second derivative of i(w). Differentiate g(h) wrt h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u\/(u\/((u\/(u\/u**4))\/u)*u)*u*(u**23*u)\/u assuming u is positive.\nAnswer: u**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -2121212110201 (base 3) in base 7?\nAnswer: -14566552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(3*sqrt(112) - sqrt(112) - sqrt(112) - sqrt(112)) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 186241194 and -4.\nAnswer: -744964776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (24*z**4 + 18*z**4 - 32*z**4)*(-2 + 0 + 4 + (-8 + 4 + 14)*(-2 - 1 + 5)*(-6 + 0 - 7)).\nAnswer: -2580*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1 and 1061.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 2*n - 25 = -171, -5*c + 155 = 5*n. Suppose 0 = -9*f + 8*f, 0 = -4*w + f + c. Solve 0 = -4*r + w*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 166 divide 8466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the first derivative of -k**5\/20 - 203*k**3\/3 - 73. Let m(o) be the third derivative of z(o). Let y(f) = 69*f**2. Determine m(y(c)).\nAnswer: -414*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-seven halves of a year in months?\nAnswer: 222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21942 - 21667 = -11*g. Which is smaller: -56 or g?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.4+0.24959202199082\nAnswer: 0.64959202199082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5362561.\nAnswer: 467, 11483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0030626 rounded to 4 dps?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = k, -139*d + 2*k = -138*d - 784. Calculate the least common multiple of d and 1372.\nAnswer: 5488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -191\/136680 and 27\/6392.\nAnswer: 6423960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 2*n**2 - 10*n + 28. Let b be t(4). Solve -73*r - b = -69*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 4, -5, 44, -12 in decreasing order.\nAnswer: 44, 4, -3, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-2\/23)*d**(-5\/4)*d*(d**1*d*d)**(-23))**12 assuming d is positive.\nAnswer: d**(-19137\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4 + ((-6)\/21 - (-66)\/(-14)). Let t = 0 - 0. Is y != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 3*a = 111, -2*o + 64 = -6*a + 3*a. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w**3 - 4*w**2 - 166*w - 1079. Give a(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -395*g + 64. Let m be c(-16). Let w = m - 4333. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5870, -4, 7 in descending order.\nAnswer: 7, -4, -5870","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 44351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**2. Let w(t) = 6*t + 2*t - t - 5*t - 2. Let o be w(4). Let j(p) = -14*p**2. Let x(a) = a**2. Let d(h) = o*x(h) + j(h). Calculate d(v(f)).\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (59\/354*4)\/((-110)\/45)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 40213?\nAnswer: 40213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (23 - (12 - -6))*(-12)\/(-10). Suppose 0 = 9*z - 36 - 99. Solve z + 3 = -i*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**2 - j + 30. Let y be a(0). Suppose 3*f + 5 = 2*f - 2*m, -f + y = -5*m. Solve 14 = 4*k - f*v, -v - 5 = -k - 2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-3))\/((-209)\/57).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n**3 + 45*n**5 - 2*n**3 + 1325367*n**4 - 1325246*n**4)*(0 - 2 + 4).\nAnswer: 90*n**5 + 242*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 4*z - 15 = 5*i, z + 4*i = 13. Is 37 a factor of (364\/20 - -4)*z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -957 - -942. Which is the fourth smallest value?  (a) -0.4  (b) m  (c) 2\/11  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = o**2 + 2. Let f be q(0). Let t(m) = -m + 1. Let h(b) = b - 1. Let y(p) = f*h(p) - t(p). Find the first derivative of y(s) wrt s.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1344842.4*1\nAnswer: 1344842.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -42021 by -609.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 5*t**3 + 2*t**2 - 2*t - 2. Let w(k) = -4*k**3 - 2*k**2 + k + 3. Let i(l) = 5*o(l) + 6*w(l). Factor i(v).\nAnswer: (v - 2)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*d**3 + 5244 + 28*d**2 + 49*d - 5244 + 23*d.\nAnswer: -4*d*(d - 9)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the second derivative of f**6\/10 - f**3\/2 - 2*f. Find the second derivative of v(l) wrt l.\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(-15))\/(4\/(-16))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 15327 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -78\/1681 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-58)\/6859254*79)\/(2\/(-12)).\nAnswer: 2\/499","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 14029\/9 - 70\/(-315) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the first derivative of -v**4\/4 - 7*v**3\/3 - 7*v**2\/2 + 3*v + 3. List the prime factors of t(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -2718, -4410, -6104, -7800, -9498?\n\"Answer: -m**2 - 1689*m - 1028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -10553 divided by 3\nAnswer: -10553\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 2, v: 1, m: 1, w: 3}. What is prob of sequence vmww?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2 + 3\/(-6) + -1. What is the second biggest value in -4\/3, x, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 75050138 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-12)\/3*(-1 + 0). Let v(p) = p**3 - 5*p**2 - 2*p + 5. Let n be v(b). Is n at most -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -41, -1592, -5\/4 in increasing order.\nAnswer: -1592, -41, -5\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.01, -113, 0.5, 1\/6, -49 in descending order.\nAnswer: 0.5, 1\/6, -0.01, -49, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 621 + -609. Let f(k) = -q + 33 - k**2 - 9 - 12. Give f(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in -0.1, 8, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 168 + -168.06. Suppose 274 = 10*n + 224. Sort n, -2\/11, g in decreasing order.\nAnswer: n, g, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.075 - -0.225. Which is the closest to 8?  (a) 5  (b) d  (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -8910*d - 62378. Determine y(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 6911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 129*j**2 + 8*j + 16. Is w(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.984 rounded to one decimal place?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 2 + -1 + (39 - (37 - -2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 170 + -61. Is j smaller than 109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(50) + (sqrt(50) - (sqrt(2450) + sqrt(2450)*2) - sqrt(50)) + 4*sqrt(50)*-1)**2.\nAnswer: 28800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12775 is divided by 1208?\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 916 = -143*q - 85 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j and 1 s when three letters picked without replacement from {l: 2, h: 1, s: 3, i: 2, f: 2, j: 2}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -210 (base 6) in base 12?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(15))\/sqrt(3) + 2 + sqrt(5)*1.\nAnswer: 2 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.6718 rounded to 2 decimal places?\nAnswer: -1.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 179787543 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2621 is divided by 118.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 204.2 or 1\/645?\nAnswer: 204.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qwwwvvvwwnifwvwwwww. What is prob of sequence nwf?\nAnswer: 11\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 59942?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -80804 divided by 4?\nAnswer: -20201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from geeggeegegege. Give prob of picking 3 e.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1130, -7973, -25786, -59813, -115298, -197485?\nAnswer: -311618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3768 - 6921. Let o = j + 4664. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.16 - 1.06. Let u = -3.1 + p. Sort 0.2, u, -5.\nAnswer: -5, u, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -38866 - -20076. What is n rounded to the nearest one thousand?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 10334 - 97*o - 97*o - 10334 - 135*o as z + b*o and give b.\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1 - -1) + (-954)\/(-3). Suppose 4*c - 9*c = -k. Let n = c + -14. Is 25 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 116 + -1046\/9. Let j = 0.2 + -0.3. Let k = j + 0. Which is the nearest to k?  (a) 0.5  (b) -5  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*a - 3*a + 2*a + 33 - 4*a.\nAnswer: -2*a + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 326549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 2 a when three letters picked without replacement from ehaehhehhheaa.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 46 a factor of 32502036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2760)\/210 - (-11)\/((-385)\/(-40)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 30970 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (sqrt(1088) - (-4 + sqrt(1088) + 2))**2 + -1 + sqrt(1088)*-6)*-1*-3.\nAnswer: -144*sqrt(17) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 165 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.237 - 0.793. Let u = 1.06 + m. Which is smaller: -2 or u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 8678.928ns?\nAnswer: 8.678928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 850*j + 13260 = 910*j. Calculate the greatest common divisor of 85 and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 13046\/(-33)*(-3)\/(-2). Round w to the nearest 10.\nAnswer: -590","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/8)\/(151\/(-302)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(200)\/(sqrt(4)*-2))\/(sqrt(100)\/(-2*sqrt(10) + sqrt(10))).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -u - 1. Let z(k) be the second derivative of k**4\/12 - 5*k**3\/6 + k**2\/2 - 6*k. Let w be z(2). Determine l(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 plus 6758?\nAnswer: 6760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*k - 1 + 1)*(69 + 7*k - 57 + 152).\nAnswer: -21*k**2 - 492*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -47 - -107\/4. Find the common denominator of g and 77\/94.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g - 5*v + 8 = 0, 4 - 3 = 3*g + 4*v for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 138 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 270.71871ms?\nAnswer: 0.0045119785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 9, 165522 in descending order.\nAnswer: 165522, 9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1252045253 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = 2*k - 2, -4*g + 4*k = -5*g - 8. Suppose 3*v = g*v - 6. Calculate the remainder when v is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kpkkhwm. Give prob of picking 1 m and 1 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 2, g: 1, m: 2, o: 1}. Give prob of picking 1 g and 1 m.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 87\/105 + 10\/(-25)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 8\/(-28) + 410\/14. Let y = -5 + i. Does 24 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/3*22\/((-3762)\/95).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 83 and 913.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6*c*h*s**2 + c*h*s + 2*c*s**3 + c*s + 5*h*s**4 + 15 wrt s?\nAnswer: -12*c*h + 12*c*s + 60*h*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -88  (b) 2  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n**3 - 6*n**2 - 5*n + 4. What is z(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*q - 9 - 16. Suppose 0*y + 10 = -q*y. Let i(d) be the second derivative of -d**4\/6 - d**3\/3 - 3*d**2\/2 + 4*d. Give i(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 233214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 735763 and 42?\nAnswer: 4414578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 47 - 41. Solve 2*d = c*d + 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = -2*r + 5, 4 - 1 = -f. Let x be (-1 - -4)\/(-1 + (-2)\/(-1)). Solve 0 = -b + r - x for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2182*x**3 + x**2 + 35813*x wrt x?\nAnswer: 13092*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l**3 + 7*l**2 - l + 15. Let g be u(7). Calculate the greatest common divisor of g and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r**4 - 5*r**3 + 210*r**2 + 180*r - 1080 = 0. Calculate r.\nAnswer: -6, -3, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 21\/(1008\/(-120))*(-44)\/(-10)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -8239*w - 68524. What is p(-9)?\nAnswer: 5627","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2239923.6 rounded to the nearest ten thousand?\nAnswer: 2240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 1.75511, -6, -9, -4, 0.1 in descending order.\nAnswer: 1.75511, 0.1, -4, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -138 (base 12) in base 3?\nAnswer: -20222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2915965 is divided by 224225.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 181*t + 832*t + 301*t + 1 + 2*t - 1 + (2*t + 3 - 3)*(2 + 2 - 3) + t + 3*t - 5*t.\nAnswer: 1317*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 61 a factor of 4643869?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -11.98 + 12. Let o = -0.02 + r. Which is the third biggest value?  (a) -4  (b) o  (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 5, d: 2, b: 3}. What is prob of sequence vvbb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v. Let i be ((-6)\/2)\/(12\/(-16)). Let s(z) = -2*z. Let m(r) = i*s(r) - 7*l(r). Let o(j) be the second derivative of j**4\/4 - j. Determine m(o(a)).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2793522 to the power of 1\/2, to the nearest integer?\nAnswer: 1671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 685956 + -6125747\/9. Let g = w + -5256. Let h = -61 + g. What is the second smallest value in -3, h, -1\/7, -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (13*p - 13*p + p**2)*(-7 + 0 + 0 + (1 - 2 - 1)*(-4 - 9 - 7))*(1 + 0 + 2) to the form u + d*p + n*p**2 and give n.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*r - 1350 = -37*r. Solve -18*l = r + 11 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -13883 - -13879. Let i = -4.89 + -0.11. What is the nearest to 1\/11 in i, -1\/5, j?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -30365382 by -43194.\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 395718266 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 - 2. Let u = 4 + y. Let l = -0.9 - u. What is the nearest to l in 0.5, 2, -5\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 6\/2*17\/(510\/(-20)). Is ((-1139)\/4)\/(d\/8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*o**3 - 86*o**3 + 84*o**3 + 10*o**3.\nAnswer: 32*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*s**3 + 315*s**2 - 9978*s + 88920.\nAnswer: -3*(s - 52)*(s - 38)*(s - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -55*d**3 + 5*d**2 - 5*d + 5. Let c(s) = 2*s**2 - 54*s + 359. Let o be c(14). Let j(f) = -54*f**3 + 6*f**2 - 6*f + 6. Calculate o*j(k) + 6*y(k).\nAnswer: -60*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o**3 + o - 15. Determine c(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0.3, -4, -0.01, -281?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 29.53623mg?\nAnswer: 0.00002953623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 665\/399*2*-3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.159149712 or 0.1?\nAnswer: -0.159149712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 9\/25 of a litre?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 w when two letters picked without replacement from {w: 2, n: 4, e: 4, m: 2, o: 1, b: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 159\/1664 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: c92 (base 14) to base 6\nAnswer: 15252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 125\/7 - 1111\/63. Let w(q) be the first derivative of -2\/3*q**2 + 2*q - c*q**3 - 8. Factor w(h).\nAnswer: -2*(h - 1)*(h + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:21 AM and 12:06 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 88996, 89004, 89026, 89068, 89136, 89236, 89374?\nAnswer: 89556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -35?  (a) 6  (b) -0.5  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -111\/15580 and 81\/532.\nAnswer: 109060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wi when two letters picked without replacement from {i: 1, w: 4, s: 2, r: 7, q: 1, u: 4}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6\/13, 21849, -9 in descending order.\nAnswer: 21849, 6\/13, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 9\/2 + (-1)\/2. Solve -4*n - 23 = 3*y, -2*n - 1 = t*y + 13 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-6)\/15 - 37\/(-5). Suppose -a + 1 = -n. Solve r = n*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, s: 1, c: 1, k: 1, l: 1}. Give prob of sequence cs.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*a + 8135 = -3*a. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -a + 17*m - 49, m + 4 - 11 = 4*a - 4*m for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0 - -2. Let n(s) = s**3 + 5*s**2 - 8*s - 10. Let v(q) = q + 1. Let x be v(-7). Let o be n(x). Solve -3*c = -3*t + 12, -o*c - r*t + 5*t = 13 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jljzzlclcazljzjz. Give prob of sequence zc.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.903 rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3 + 151571?\nAnswer: 151574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 107 a factor of 1532668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -178 - -201. Suppose -5*g - 80 - 10 = 0. Let y = q + g. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one quarter of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000004836 to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - (-1 - 4 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (4 + (-44)\/12)*-6. Let p(u) = 31*u**2 - 3*u - 1. Calculate the remainder when p(f) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the second derivative of 0*o**4 + 0 + 1\/9*o**3 - 2\/225*o**6 + 2\/15*o**2 + 7*o - 1\/30*o**5. Solve s(u) = 0 for u.\nAnswer: -2, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -2 and -3221.\nAnswer: -3223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -799482, -1598964, -2398446, -3197928?\n\"Answer: -799482*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -2658, -2663, -2668?\n\"Answer: -5*p - 2653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -26249397*b**2 + 1051009*b + 11.\nAnswer: -52498794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 13 = 5. Let w = u + 6. Put -3, 4, w in ascending order.\nAnswer: -3, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1059 = -i + n, -5*i - 1084 = -6*i - 4*n. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20 - (20 - 10 - -38)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1709639161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 279 divide 880582032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3)\/((3\/(-2))\/1). Suppose 0 = -5*i, -i + 35 = -g + m*g. What are the prime factors of g?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3898.99996718 + 3899. What is q rounded to 6 dps?\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.28609 to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 35\/14*(-27)\/(1755\/416).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 38737*u + 348582. Determine f(-9).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6112575 is divided by 555686.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 74880490?\nAnswer: 2, 5, 227, 32987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0062360531 rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = b. Let y(x) = -5*x - 14. Suppose -3*o + 1 = -5. Suppose 0 = o*k - 5 - 3. Let p(a) = k*u(a) + y(a). Give p(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3240883?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*h - 20*g + 21*g + 69, 2 = 2*g for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-105)\/120)\/((-49)\/14))\/(2\/(2840\/(-5)))?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(20)\/sqrt(2) + -3*sqrt(90))\/(sqrt(2) + sqrt(2) + -6*sqrt(2)*2 - sqrt(2) - sqrt(2) - 6*(sqrt(18) - sqrt(2)))*1.\nAnswer: sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 755663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -6 + 2 + 3 - -5. Suppose 0*z = -4*z, -u*z + 4 = j. Suppose -j*o + a + 70 = 0, a - 10 = -4*a. What is the remainder when 33 is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40 + 82*q + 40*q + 40.\nAnswer: 122*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12 - -17. Suppose p + 28 - 11 = 5*b, -w*b = 2*p - 26. Solve -b*o = -12, 5*a - o + 11 = o for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-6 + 3 - -3) + -60)*(-138)\/207. Solve -b*y + 134 = -66 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6431131 years in months?\nAnswer: 7.7173572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -30*n + 2661. Let w be m(87). Which is smaller: 37 or w?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 186819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 83 = -2*g - 48, s + 5*g = -17. Suppose 2*j - 14 + 125 = -3*k, 3*k + 5*j = -102. Let r = s - k. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 65.155 + -65. Let x = 0.29 - v. Let o = x - 0.045. Which is the third smallest value?  (a) 2\/3  (b) o  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -174*j**2*z**4 - 2*j**2*z**2 + j**2 - j + 19630*z**4 + z**2 - 964624 wrt z?\nAnswer: -4176*j**2*z + 471120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-15 - 0) + -9 + (31 - 11) + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7566 and 40482?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 30\/4*(-4)\/12*2. Let v(b) = -b**2 + 27*b - 9*b - 9*b + 3 - 14*b. Calculate v(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*s + 5 = 275. Suppose -61*p - s = -66*p. Solve 3162*g - 3192*g + p*g**2 + 19*g**2 = 0.\nAnswer: 0, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 3*k + 25 = 0, l + 5*k - 79 = -3*l. Calculate the least common multiple of l and 7.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 206013094477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -287 - -292. Sort 3, -3, p, 15.\nAnswer: -3, 3, p, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 3*q = 2, -4*p + 2 = -q - 2. Let v be 0 + 1 + 5 + -1. Let l(x) = 1 - 4 + 4 + v*x. Give l(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-28)\/14*((-8)\/(-36))\/((-150)\/(-1725)).\nAnswer: -46\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 3*g + 63 = 0, 2*g = z - 0*z - 21. What is the greatest common divisor of z and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 117670000 rounded to the nearest one million?\nAnswer: 118000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 364, 1484, 3348, 5950, 9284, 13344, 18124?\n\"Answer: -l**3 + 378*l**2 - 7*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ia when two letters picked without replacement from {i: 1, f: 8, a: 6}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = 3 - 9. Which is the nearest to k?  (a) -5  (b) 2\/5  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 5128567 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qkdo when four letters picked without replacement from {q: 4, o: 5, k: 2, d: 2}?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3  (b) 0.1  (c) -14.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1384*c = 806*c + 1734 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 319 a factor of 58992670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Solve 11*r + 25*r = 144 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -45 + 57. Calculate the highest common divisor of k and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (74 + -69)*(-6)\/105.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -13884045, -13884073, -13884087, -13884081, -13884049, -13883985?\n\"Answer: w**3 + w**2 - 38*w - 13884009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 194 + 169 = -5*p, 3*d - 30 = -5*p. Let o = 4 - -1. Solve -2*c - d*l + 0*l + o = 0, 2*c - l + 13 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3851 - -3854. Solve a = o + g, -5*a = 5*o - 0*o + 35 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23.86 rounded to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 2024 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4 - -221231143?\nAnswer: 221231202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s*s**(1\/8))\/(s*s\/(s**(-3)*s*s*s))*s**(2\/11)*s**(-8))\/((s\/(s\/s**(1\/2))*s**(3\/2))\/((s**(-3)\/s*s)\/(s*s\/s**(-6)))) assuming s is positive.\nAnswer: s**(-1821\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 5)*(4 - 10 + 12)*(2*q - q + q).\nAnswer: -24*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 252 divide 90777204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5697 + -5717. Which is bigger: s or 1.19?\nAnswer: 1.19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wqqqwqqqqwqwqwwqqwq?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 86*b**3 - 340*b**2 + 5*b - 20. Determine d(4).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-1\/2)\/o*o)**(1\/8)\/(o\/o**(-14))**45)**(-35) assuming o is positive.\nAnswer: o**(378035\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 14877649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 23*o - 7. Is p(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 2 a when three letters picked without replacement from ymaxgmmxaa.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -19*a**2 - 18*a**2 + a + 3 + 38*a**2. Suppose 2*z = 7*z - 5. Let q(h) = -h**2 - 1. What is z*c(t) + 3*q(t)?\nAnswer: -2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (20*m - 6*m - 17*m - 102)*(-11*m**3 + 25*m**3 - 8*m**3).\nAnswer: -18*m**4 - 612*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 728 a factor of 385292373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-29)\/(174\/180) - (78 - 86)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 354 in -0.2, 7, -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(66) + (sqrt(66) - (sqrt(66)*-1 + sqrt(66))))*4 + sqrt(66) + -3*(sqrt(66)*-2 + sqrt(66)))\/(-6*sqrt(48)\/(sqrt(8) - sqrt(16)\/sqrt(2)*-1)).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 14, -57, -246, -613, -1218, -2121, -3382, -5061?\n\"Answer: -10*h**3 + h**2 - 4*h + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n\/(n**(-2\/3)\/n))\/n**(1\/5))**(-27\/2))**(-17) assuming n is positive.\nAnswer: n**(5661\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1634 + -1624. Suppose -116 = -3*f - f. Calculate the remainder when f is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6f1 (base 16) in base 3?\nAnswer: -2102211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange w**2 - 6 + 9 + 3 - 5*w - 9 + 3*w**3 to the form f*w**2 + y + d*w**3 + q*w and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21054 is divided by 108.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/2952 and 64\/168633.\nAnswer: 1349064","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\/8 + 11*w**3\/6 - 2*w**2 + 71. Let s be q(2). Sort -4, -13, s in decreasing order.\nAnswer: s, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 126\/1 - (-43716630)\/(-347594).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 62116521 to the nearest integer?\nAnswer: 7881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 29169.97 litres?\nAnswer: 29169970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -l**3 - 3*l**2 - 18*l - 145. Give h(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the second derivative of j**7\/273 + j**6\/195 - j**5\/65 - j**4\/39 + j**3\/39 + j**2\/13 - 3*j - 4. Suppose s(z) = 0. Calculate z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 99 times 2539.8?\nAnswer: 251440.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 4157989033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/54545 and 21\/85?\nAnswer: 927265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = -2*p - 5*g - 20, -5*p = 3*g - 22. Suppose f + 98 = 2*f - p*u, -5*f + 3*u = -402. Let z = f + -46. Is z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by -2656.\nAnswer: -1\/664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sum 6.131332277494 and -14.\nAnswer: -7.868667722506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*c - 2*c + c)*(c**4 + c**3 - c**3)*(5 + 2 - 19).\nAnswer: -12*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2418032 divided by -16.\nAnswer: 151127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -5*x**3 - 31*x**2 - 5*x + 19. Determine i(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 5*u**3 + 4*u**2 - 5*u - 2. Let j(i) = 11*i**3 + 7*i**2 - 9*i - 3. Determine 7*a(x) - 4*j(x).\nAnswer: -9*x**3 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1 + 15\/(-10)*-2. Solve 5*b - y*a + 29 = 0, -4*a = -3*b - 6*a - 11 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -16*a + 95. Let p be r(4). Solve -28*l + 12 = -p*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:18 PM and 4:29 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7107588.\nAnswer: 2, 3, 21937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w**3 - 7*w**2 + 8*w - 9. Suppose o = -3*o + 24. Let f be g(o). Find the first derivative of -5*r**2 + 4*r**2 - 1 + f wrt r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2 + 0)\/((-4)\/10). Let t = 39 - 19. Suppose 0 = -52*h + 57*h - t. Is h at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 291 + 271 = 0. Solve 4*c = d + 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) be the second derivative of -10 + 1\/10*g**6 - 3*g**3 - 1\/42*g**7 + 2*g + 0*g**2 - 5\/4*g**4 + 7\/20*g**5. Factor a(t).\nAnswer: -t*(t - 3)**2*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 63 * -4635393.\nAnswer: -292029759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -17*m - 7. List the prime factors of n(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**2 + 6*h - 4. What are the prime factors of x(6)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 27*t**3 + 102*t**2 - 159*t + 36. Let x(p) = 56*p**3 + 205*p**2 - 319*p + 72. Let c(h) = 7*q(h) - 3*x(h). Factor c(r).\nAnswer: 3*(r - 1)*(r + 6)*(7*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the third derivative of s**6\/120 - s**5\/12 + s**4\/24 - s**3\/6 - s**2. Let x = -69 - -74. Determine o(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/21*15 + -1. Let g = -2 + 2.2. Let y = -0.3 + g. What is the nearest to y in 2\/3, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 2 = 2. Suppose -x*c + 5 = -3. What is the remainder when 20 is divided by 4\/c - -14 - 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 5888*u**3 + 4*u**2 - 4*u + 2. Does 25 divide g(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1*(-4 + 0)*1. Let y be (-1)\/x + 11\/4. Let r(u) = 5*u + u**y - 2*u + 4 - 5*u**2 - 2*u - 2*u. Give r(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-1)\/(6\/3)*(-1534)\/(-7592) and -89\/8.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that m**3\/2 + 98*m**2 - 122569*m\/2 + 243538 = 0.\nAnswer: -463, 4, 263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 15*a**2 + 2*a**3 - 15 + 15*a - a**3 - 8 + 8. What is the common denominator of (44\/24)\/(0 + (-1)\/(-4)) and n(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 + -4. Let i = d + -4. Let h be (0 - i)\/(2 + 0). Put 0, h, -1 in descending order.\nAnswer: h, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 304 = -80. Suppose -f + 15 - 3 = 0. Calculate the remainder when (23\/(-4))\/(7\/n) is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6 - -6.5. What is the smallest value in t, -1\/4, 8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 56226 is divided by 865.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.038628 to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/(-1)*34\/68.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000294768986 to six dps.\nAnswer: 0.000295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*d**3 + 64*d**2 - 68*d.\nAnswer: 4*d*(d - 1)*(d + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 3, w: 5}. Give prob of picking 1 w and 2 i.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r**3 - 66*r**2 - 778*r - 23. Calculate f(-10).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -61450\/7 or -8779?\nAnswer: -8779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -123*t**2 - 3*t + 4. Let v(x) = 124*x**2 + 4*x - 5. Calculate -4*u(o) - 3*v(o).\nAnswer: 120*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -q + 6*q - 10. Solve 0 = h - q*r + 6, -4*r + 28 = 4*h - 2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 63 divide 17262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = -5*s - 1374 + 3798, 3*s + 5*z = 1460. What are the prime factors of s?\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from uzqyzqzzquyutu.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7638899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 430040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 342.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**(6\/11)*c\/(c\/(c*(c\/(c**5\/c*c))\/c)*c))\/((c\/c**(-7))\/(c\/(c*c\/(c*(c\/((c\/((c*(c*c*c*c*c**11)\/c)\/c*c))\/c))\/c)*c*c))) assuming c is positive.\nAnswer: c**(17\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {z: 3, r: 9}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 3, -0.4, 2\/7, -2\/31.\nAnswer: -0.4, -2\/31, 2\/7, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 4*r = 5*a - 15166, -3*r = 2*a - 10105. What are the prime factors of a?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -390, -755, -1118, -1479, -1838?\n\"Answer: h**2 - 368*h - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 2*z. Let t(w) = w. Let c(n) = -5*g(n) + 8*t(n). Let a(o) be the third derivative of 13*o**4\/24 - 109*o**2. What is c(a(q))?\nAnswer: -26*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 9780607.9 to the nearest ten thousand.\nAnswer: 9780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 10, m: 4}. What is prob of picking 1 p and 2 m?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 64\/(-24) - (-1)\/(-3). Is (2\/w)\/(10\/(-1815)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3254 (base 11) to base 5\nAnswer: 114134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3\/712 + 407\/265576. Let d = 368\/1865 - z. Which is greater: 23 or d?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*c*o**4 + 28*c*o**3 - 7496524*c*o**2 + c*o - 1160*o**3 wrt o?\nAnswer: 96*c*o + 168*c - 6960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 1076 = 506. Calculate the remainder when j is divided by 46*(-2 - (-10)\/4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -146*d - 5*d**4 - 34 + 287*d + 3*d**4 - 143*d + 318 to k*d**3 + y*d**2 + i*d + h + o*d**4 and give h.\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that 4*f**4\/7 + 68*f**3\/7 + 164*f**2\/7 - 548*f\/7 + 312\/7 = 0.\nAnswer: -13, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 130*p**2 + 6*p + 7. Let m(g) = -262*g**2 - 13*g - 14. What is -13*f(v) - 6*m(v)?\nAnswer: -118*v**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -8.8*-1.17\nAnswer: 10.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**3 + 15*s**2 - 98*s + 792. Let w be n(-25). Which is greater: w or -3003?\nAnswer: -3003","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 39 = 5*v - 105, -5*p - 180 = 3*v. Suppose 4*u + 170 = o + 2*o, 0 = 4*o + u - 195. Let n = p + o. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -3476*t. Let s(z) = -121273 + 121273 + 2*z. Give s(k(x)).\nAnswer: -6952*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**2\/4 - 43*j + 1849.\nAnswer: (j - 86)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 1, g: 1, m: 5, d: 3, n: 3, a: 1}. What is prob of picking 2 m, 1 a, and 1 g?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -19, -234356, 9 in ascending order.\nAnswer: -234356, -19, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**2 + 5*c + 7. What is b(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -c**3 + 9*c**2 - 6*c - 11. Let o be d(8). Suppose 0 = 5*t + 2*q, -o*t - 8*q = -3*q + 15. Suppose p - 6 + 1 = 0. Solve b - p = -2*j, 5 = -b + t for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -35*r. Let k(u) = 60*u + 14. Let i(l) = -13*l - 3. Let q(w) = 28*i(w) + 6*k(w). Calculate s(q(a)).\nAnswer: 140*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**12\/q**25*q**3*q*q*q**11)**(29\/4) assuming q is positive.\nAnswer: q**(87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 2*q - 3. Suppose 2*i - 7 = -1. Let j be k(i). Let b(f) = -f**3 + 3*f**2 + 4*f. Let p be b(j). Solve 5*d - 13 = p for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = -3*f + 20, 2*z = 7*z + 10. Let k be -2 + (13 - (1 - 0)). Suppose f*y - 3*y - k = 0. Which is the smallest value?  (a) -3\/2  (b) y  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*o + 5*n + 4, 2*o = -16*n + 13*n - 12. Let r be 4\/(-16) - o\/12. Which is smaller: 2\/179 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 10*o**2. Let y(c) be the second derivative of 1\/6*c**3 + 0*c**2 + 3*c + 0. What is j(y(b))?\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (x - 5*x + 5*x)*(x - 2*x + 2*x) - 8*x**2 - 24*x + 24*x + (-3*x + 3*x - x)*(26*x - 7*x + 14*x) as d*x + q*x**2 + p and give q.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2200 - -120?\nAnswer: 2320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 8*j - 11*j, -5*f + 2*j - 54 = 0. Let o be (16\/f + 1)\/((-60)\/75). Which is the nearest to -2\/5?  (a) 1\/14  (b) o  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*x**2 - x**2 + 7*x**2)*(x + x - x + (4 - 2 - 4)*(0*x + 3*x - 4*x) + 6*x - x - 4*x - x - 2 + 2).\nAnswer: 18*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2 + 56107?\nAnswer: 56105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*f + 5*f. Suppose g - 43 - 8 = f. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1 - (-1 + 22\/8). Let t = -97\/280 - 1\/35. What is the biggest value in -1, t, w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.6 and 771490871?\nAnswer: 771490871.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(14)\/(sqrt(28)\/sqrt(4)))**2*1 - (sqrt(18)\/(sqrt(9) + (-3*sqrt(9) + sqrt(9))*-1))**2.\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 2*d - 1)*(-2 - 8 + 2)*(-46 + 19 + 12) as y*d + f and give y.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -93 + 122. Calculate the remainder when k is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 469209, 938414, 1407619, 1876824, 2346029, 2815234?\nAnswer: 3284439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4058 + 6787. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2647 - -2644. Put n, 6, -19, 0 in ascending order.\nAnswer: -19, n, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 24, -1, 58?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 49 = 5*p - p, 2*y - 68 = -2*p. Let f = y - 21. Calculate the least common multiple of f and (3 + 7)*(-21)\/(-210)*4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2c93ea (base 16) to base 7\nAnswer: -33555230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 239597179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0 - -9 - (-327 - -329)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -156*r + 44. Let m be h(2). Let b = m + 452. List the prime factors of b.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8011063 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: Calculate -1 + -2 + -1 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 3 = -2*j, -2 = 4*j - 3*z - 1. Let s be (7 + -7)\/(3*j). Suppose -5*m = 4*p - 1, 3 = -2*p - 3*p - 2*m. Put s, -5, p in descending order.\nAnswer: s, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 54.303 + 11.841. Let f = u - 0.144. Let n = f - 65.9993. Round n to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(264)\/(sqrt(11) + sqrt(11) + (sqrt(11) - -5*sqrt(891))))\/((sqrt(2000)*-4)\/sqrt(10)).\nAnswer: -sqrt(3)\/960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1, -0.3, -329.6, 5\/2?\nAnswer: -329.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(3))*4 + sqrt(27)\/(sqrt(27)\/sqrt(3)))**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3425*n**3 - 20931 wrt n?\nAnswer: -10275*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 38421016 by 223378.\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -207*j - 202*j - 4 - 12 + 320*j + 291*j - 203*j.\nAnswer: -j - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 68, -3, -4, -2, -303, -15.\nAnswer: -303, -15, -4, -3, -2, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 21 = 109. Let b = p + -37. Suppose -156 - 54 = -5*n. Calculate the highest common factor of n and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3089*y - 4886 + 4886)*(4 - 4 + y**2).\nAnswer: 3089*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 32\/57 and -67\/60?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + (-5 + 3 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1153, -2246, -3283, -4264, -5189, -6058?\n\"Answer: 28*y**2 - 1177*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4)\/((-8)\/(-57))*(-30)\/(-45). What is the units digit of (-4372)\/t + (-16)\/152?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 172\/(-23994)*-10757 + -77.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j**0*j*j))\/j)**(-49)\/(j\/(j*j**(-8))*j\/j**(6\/7))*((j\/j**(-5))\/(j*j**(4\/9)*j))\/((j*j**(-2\/19))\/j**(-2)) assuming j is positive.\nAnswer: j**(108350\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.3  (b) 37  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 8 and 2696.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100 + -1010010011111111000?\nAnswer: -1010010011111111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/23, -0.06, -0.3, -1\/4 in ascending order.\nAnswer: -0.3, -1\/4, -2\/23, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -ba66 - d1?\nAnswer: -bb57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Do 10337 and 10571 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 53 - 24. Let w = -40 + r. Let p = -7 - w. Solve 0 = -5*b + 3*i + 25, 5 = 2*b - p*i - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 176.92032 + -177. Let v = o + 0.08. What is v rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*b**3\/7 + 44*b**2\/7 - 464*b\/7 - 2304\/7 = 0. Calculate b.\nAnswer: -16, -4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -6*f. Let c be v(4). Let j be 246\/c - 2\/(-8). List the prime factors of ((-8)\/j)\/(6\/15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f + 82 = -5*g, -2*f + 59 = -5*f - 17610*g + 17605*g for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0061773 centimeters in nanometers?\nAnswer: 61773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yeeyeyyy.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -93\/88 and 36\/1397.\nAnswer: 11176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*q + 1584 = 24*q. What is the remainder when 252 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (77*n**2 - 77*n**2 + 30*n**3)*(-7*n - 185*n - 77*n)*(2*n + 3*n - 3*n).\nAnswer: -16140*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the third derivative of -1\/12*a**4 + a**2 + 0*a**3 - 28 + 0*a. Let v(b) = 1 - 3 + 0 - b - 5*b. What is v(u(q))?\nAnswer: 12*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 156 a factor of 12029628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 73*u - 24*u - 24*u - 27*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3375614 is divided by 366.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 33247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 h when two letters picked without replacement from hkhkhkkhkh?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-14)\/5)\/(1\/(-5)). Suppose -w + 8 = -3*t. Suppose -t*x = 3*j - 22, 17 + 17 = 3*x + 5*j. Is x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 460, 360, 258, 154, 48, -60?\n\"Answer: -u**2 - 97*u + 558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 3 - 3 = -o, -8 = 4*t - 2*o. Let b(d) = -2*d**2 - d - 1. Let m = 23 - 34. Let h = m + 12. Let c(y) = -y**2 - y - 1. What is h*c(q) + t*b(q)?\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 7*i**2 - 38*i + 13. What is the hundreds digit of f(14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 - -0.03292287.\nAnswer: -4.96707713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = i**3 + 7*i**2 + 7*i + 8. Let l = -35 - -25. Let g = l + 4. Give w(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s + 2*k - 4*k, 2*s + 5 = 3*k. Calculate the lowest common multiple of s and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18083.95ml in litres?\nAnswer: 18.08395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.051 + -55.949. Is 2\/11 at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -26 + (-13 + 27 - -23)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 52.67 - 55.4. What is y rounded to 0 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-5)\/63)\/(40\/(-496)). Let i = -3\/7 + k. Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 2 q when three letters picked without replacement from qqqqqqqdddqqcdddq.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (14*344\/(-560))\/1\nAnswer: -43\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -151 = -5*h - 2*p - 2*p, -2*h = -2*p - 64. Let v be (-10)\/25 - (-204)\/10. Let b = h - v. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -562*u + 286*u + 265*u. Let d(q) = 11*q**2 + 8*q**2 - 15*q**2. Determine z(d(f)).\nAnswer: -44*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 3*u - 1238 = 0, -f + 93 = 3*u - 517. What is the remainder when f is divided by 227?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**9*n)\/((n**(-4\/9)*n*n*n*n)\/n))\/(n**5\/(n\/(n*n*n\/(n**(-4\/3)\/n)))) assuming n is positive.\nAnswer: n**(-17\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -3312402 (base 5) to base 9\nAnswer: -86445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6407 + 6409. Solve 0 = y - 5*i - 14, i + 1 = p*y - 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (28*i + i - 5*i + 12*i)*(-2*i**3 + 6*i**3 + 3*i**3) as k*i**4 + p*i**3 + s*i**2 + f*i + n and give k.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/f**(4\/3)*f**(2\/5)*(f\/(f*f*f**1))**(1\/3))**(-20\/3) assuming f is positive.\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = v - 4*r + 156, -4*r - 300 = -2*v. Let j be 42\/4*(-19)\/(v\/(-48)). What is the highest common divisor of 14 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -11*q**3 + 5*q**2 + 4*q + 15. Is x(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0  (b) -2  (c) -2\/15  (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33019812 is divided by 1375825.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*g - 3*g - g**2)*(-4*g + 6*g - 4*g + (1856*g - 9 - 1855*g + 65)*(-8 - 7 - 6)).\nAnswer: 23*g**3 + 1176*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -21.9257727 and -2.\nAnswer: 43.8515454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 783097.400038 + -783093. Let w = k + -4.4. What is w rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fccc. What is prob of sequence fc?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -p**4 - 2*p**4 + p**4 + (4*p**2 + p**2 - 4*p**2)*(3*p + p**2 - 3*p) - 4*p - 10611*p**4 - 6466*p**4 + 0*p + 4*p.\nAnswer: -17078*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(1216) + (sqrt(19) - sqrt(152)\/(sqrt(8)*-3)))**2.\nAnswer: 56*sqrt(19)\/3 + 14905\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j\/(j\/(j*j**(2\/15)\/j)))*j**(4\/5))\/(j*j\/(j**7*j)*j**(-6)) assuming j is positive.\nAnswer: j**(41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 13*s - 27*s - 2*s - 31*s as j*s + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jriiwwrjrr. What is prob of sequence rr?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*j**4\/7 - 3960*j**3\/7 - 621932*j**2\/7 - 12223728*j\/7 - 64536560\/7 = 0. What is j?\nAnswer: -118, -11, 1130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/5 + (-14)\/10. What is the units digit of (-3 - (-4)\/2)\/u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -40*s**3 + 2*s**2 + s + 1. Suppose -2*z = 2*h + h - 30, 0 = 2*h. Let a = 14 - z. Is 21 a factor of b(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the second derivative of o**3\/2 + 11*o**2\/2 - 9*o. Is s(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a*a*a**(-2\/13)\/a)*a*a*a**8*a*a)\/((a*a**(-8))\/a*(a*a**(1\/4)*a)\/a) assuming a is positive.\nAnswer: a**(983\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 21\/10 and (-2)\/3 + 302\/48.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4077 (base 10) in base 16?\nAnswer: fed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 8 and 9122732.\nAnswer: 18245464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the first derivative of 0*l + 69 - 1\/4*l**4 + 44\/5*l**5 + 0*l**2 + 89\/3*l**3. What is the third derivative of d(h) wrt h?\nAnswer: 1056*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -6*j**2 + 6*j - 19. Let b(f) = -f**2 + 4. Determine 5*b(p) + o(p).\nAnswer: -11*p**2 + 6*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8871222 hours in milliseconds?\nAnswer: 3193639.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-8)\/12 + (-231)\/(-117) and -25\/7?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -557*c*p + 609*p wrt c?\nAnswer: -557*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 338854*j**3 - 2*j**2 + 489574*j wrt j?\nAnswer: 2033124*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 254158 is divided by 180.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000068085 rounded to 6 decimal places?\nAnswer: -0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 2*w**2 - 9*w + 7. Let s be d(1). Suppose s = -5*m - 2*h + 162, m + 5*h = 9*h + 28. Solve -6*x + m - 20 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = -0 + 2. Let y = -8435.3 - -8435. Which is the closest to -4?  (a) -0.1  (b) z  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5 - 6f13eb?\nAnswer: -6f13f0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the second derivative of s**3\/2 + s**2 + 3*s - 2. Let o(x) = 5*x + 3. Let u(c) = -3*g(c) + 2*o(c). Let k(v) = 62*v**2. What is u(k(w))?\nAnswer: 62*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the third derivative of 0*i + 1\/8*i**3 + 1\/16*i**5 + 1\/8*i**4 + 1\/80*i**6 - 8*i**2 - 2. Find q such that o(q) = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (8\/3)\/(6\/9). What is the greatest common divisor of 10 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(1\/5)*w)**(1\/12) assuming w is positive.\nAnswer: w**(1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1900 and 1027425.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m - m + 4*p - 12, 0 = -3*m + 5*p - 14. Let y be (-45)\/66 + m\/11. Let s = 1.34 + -0.84. Which is the smallest value?  (a) s  (b) -1  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-11)\/22*58\/13 and 43\/9.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = -7*d - 1250. Let x = d + 363. Let k = -57 + x. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2625742 and 21904.\nAnswer: 2738","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 6*i**2 + 9*i - 21. Let a(t) = -t**2 - t + 1. Let n(o) = 4*a(o) + r(o). Calculate the remainder when 227 is divided by n(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5579247833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-80)\/(-30))\/((180\/(-360))\/((-3)\/(-4))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2204221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 - 3 + 1)*(1 + 2*p - 1)*(-3 + 0 + 1).\nAnswer: -32*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + (0 - 7) + 2 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the second derivative of l**7\/105 - 14*l**6\/75 + 47*l**5\/50 - l**4\/3 - 24*l**3\/5 - 2*l + 222. Determine j so that p(j) = 0.\nAnswer: -1, 0, 2, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1810 by 5.\nAnswer: -362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 4*r - 5*y + 429 = 0, -5*y + 883 = 4*r. Let s = r - 43. Calculate the highest common factor of s and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -476.52 to the nearest ten.\nAnswer: -480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (0\/2)\/(1 - 0). Suppose 13 = -3*v - 4*s, -3*s - 9 = -j*v + 2*v. Which is bigger: -4 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t*t**(1\/4))*t)\/(t\/(t\/(t\/t**(-8)*t)))*t*t\/t**(-3\/7)*t*t\/t**(1\/10))**(-4\/19) assuming t is positive.\nAnswer: t**(689\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 75348 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from meemeeemeeeqeqmq. Give prob of picking 1 m, 1 q, and 2 e.\nAnswer: 108\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11 + 11 - 2*n**2)*(n - 1 - 4 + 4).\nAnswer: -2*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 341011939 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 7594.\nAnswer: 7594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -123203 - 101?\nAnswer: -123304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.54 + 4.84. Let a = c + -4. Let w = -17.01 - -15.01. What is the nearest to -0.2 in -0.5, w, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 113*-0.16\nAnswer: -18.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 497987 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: Suppose 18 = -0*w + 2*w - 4*f, -2*w + 16 = -3*f. Let l(d) = -d**2 + 5*d + 106. Let r be l(-8). Solve 4 + 2 = -r*k, w*k + 35 = 5*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5682241583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -2552, -4217, -5882, -7547, -9212, -10877?\n\"Answer: -1665*x - 887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the first derivative of o**7\/70 - o**6\/180 - 2*o**3 + 12. Let x(n) be the third derivative of u(n). What is the third derivative of x(z) wrt z?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1740 and 696?\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 29\/959 and -76\/273?\nAnswer: 37401","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -23136 + 23137. Is 2\/27433 at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7438 a factor of 31684544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, 1, -42, 4, 0.\nAnswer: -42, -14, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2679 + 2679 - 9824*i**3 - i + i.\nAnswer: -9824*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.3, 1\/2, -3, 6\/5, 0.05?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 13599*z - 56 - 13662*z - 45 wrt z?\nAnswer: -63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68*r = -5*g + 71*r + 26515, 0 = -3*g + 2*r + 15908. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6066851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p - 9 - 2 = 3*f, 0 = 2*f + 5*p - 31 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -85110959.373 minus 0.1?\nAnswer: -85110959.473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1154694 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1777 + 1777.1031. Round q to 3 decimal places.\nAnswer: 0.103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 14*z**2. Let p(t) = 93*t - 2. What is p(o(r))?\nAnswer: 1302*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 20724 divided by -1\nAnswer: -20724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -72 + 75. Suppose 2*c + 2 + 0 = 0. What is the nearest to -0.1 in c, o, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + t = -4. Suppose -3*g = -t - 8. Let y be 1\/((-3)\/18*-2). Solve y*w + 1 = g for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 19542569 and 33719.\nAnswer: 4817","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6 in 1\/6, -20, -0.12, -6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -1. Let i(r) = 10*r - 6. Let q(a) = 3*a - 2. Let j(v) = 2*i(v) - 7*q(v). Determine 3*j(k) + 6*o(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that i**5\/3 - i**3 - 2*i**2\/3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*((-2*sqrt(1900) + 0 - sqrt(1900)) + (sqrt(1900) + 1)*-6)*-5*3)**2.\nAnswer: 2187000*sqrt(19) + 311720400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 2*k**2 - 8*k + 10. Let g = 20 + -17. Let u(h) = -3*h**2 + 17*h - 19. Let p(t) = g*u(t) + 5*o(t). Calculate the remainder when p(-12) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 40 + -39.6. Let j = 0.8 - 5.8. What is the nearest to -1\/2 in d, j, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -2*c - 4. Let s(t) = -t**2 + 10*t + 3. Let b be (-104)\/(-10) - 8\/20. Let i be s(b). Let g(q) = q + 2. Calculate i*y(f) + 7*g(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = -17*q + 20*q - 137, 151 = 3*q + a. Solve 0 = q*f - 93 - 147 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 230355 (base 6) in base 5?\nAnswer: 1111313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + z = -0*z - 2, 0 = -4*v + 3*z + 20. Suppose 0 = -0*g + v*g - a - 19, -5*g = -a - 46. Calculate the smallest common multiple of g and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -3*o + 4. Let k be 30*(5\/(-10) + (-4)\/(-4)). Suppose d + 2*d = i + k, -2*i = d - 12. Solve o*f - 12 = -3*a + a, -f = -5*a + d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 29248, 29226, 29194, 29146, 29076, 28978, 28846?\nAnswer: 28674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*z - 6*z - 44 = 0. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -29*v - 27*v - 22*v - 7*v as q*v + u and give q.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -197264 + 69830.\nAnswer: -127434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.7, 3110, 946\/17?\nAnswer: 3110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that k**3 - 3696*k**2 - 11107*k + 36990 = 0.\nAnswer: -5, 2, 3699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 7318 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - -2) + (7 - 13) + 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 757162397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1248 + -10324?\nAnswer: -9076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-5324)\/(-3993))\/((-8)\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -63318000 rounded to the nearest 1000000?\nAnswer: -63000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*s**4 - 3*s**4 + 4*s**4 + (-2*s**3 + 3 - 3)*(-3*s + 4 - 4) - 2*s**4 + 0*s**3 + 0*s**3.\nAnswer: 3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: ((-55)\/(-770))\/((-1)\/(-8))*7\/62\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (((-700)\/(-91))\/(456\/(-988)))\/(4\/(-30))\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = -3*x + 11, -3 - 3 = -2*g - 2*x. Let w = -1 - g. Let f(j) = j - 4. Let y be f(7). Solve -y = -w*m + m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -577?  (a) 0.1  (b) -0.5  (c) -3\/2  (d) 48\/11  (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*r + 388 + 460. Let m = -221 + r. Does 26 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.0138 - -0.1862. Which is the third biggest value?  (a) 2  (b) n  (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(300) - -2*sqrt(300)) + sqrt(300))*2)\/(sqrt(80)*-4))\/((5*(sqrt(96)*-2 - sqrt(96)))\/(sqrt(8) + (sqrt(8) - -5*sqrt(128)))).\nAnswer: 11*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.6?  (a) 0.3  (b) 2  (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2988.484*-329.\nAnswer: -983211.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.7?  (a) 0  (b) -1\/6  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sri when three letters picked without replacement from osiourm?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 142 divided by 20860.\nAnswer: 71\/10430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 161.6 - 162. Which is the smallest value?  (a) -0.1  (b) 2\/11  (c) -9\/5  (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -231*n + 108*n + 125*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.31 - 1.79. Let i = -0.1 - v. Let l = -1 + 1.3. What is the second smallest value in 2\/3, i, l?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 184 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5242879867 to the nearest integer?\nAnswer: 1737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 7870382*g. Let c(s) = 3*s**2. Determine c(l(d)).\nAnswer: 185828738477772*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that -b**3 - 9*b**2 + 648*b + 8748 = 0.\nAnswer: -18, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3433.82 millennia in decades?\nAnswer: 343382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*t - 19*t = 13*t + 12*t - 1653 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Are -221032283 and -221032286 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 3 + 2)*(0 + 1 + 1)*(0 + 2 + 0)*(-2*t - 2 + 2) to m + j*t and give j.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*g + 16141 = 649 - 4722. Which is bigger: g or 1124?\nAnswer: 1124","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5345806?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7546*s**2*w**3 + 3*s**2*w**2 - 3*s**2 - 21*w + 3 wrt w.\nAnswer: -45276*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -38499 != 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 126.3571 less than -2?\nAnswer: -128.3571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -193*w**3 - 207*w**3 + 402*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/(-4)*-2 - -4. Let q(p) = 4 + 2*p - 7*p + p**2 + 0*p**2. Let u be q(i). Is u < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(-2\/3)*t**0 assuming t is positive.\nAnswer: t**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 262*f**4 - 13*f + 566*f**4 + 104*f**2 + 8*f + 18*f**4 + 3*f - 3 wrt f?\nAnswer: 20304*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = -g. Suppose -3*n + 2*y - 17 = g, -2*y = -4*n - 33 + 7. Let c be n\/6 + 2 - 0\/5. What is the closest to 0.1 in 5, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 403*h + 2*s + 3 = 402*h, -h - 5*s = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -14*k**3 + 4*k**2 + 4*k. Let n(o) = 28*o**3 - 9*o**2 - 9*o + 1. Give -5*g(h) - 2*n(h).\nAnswer: 14*h**3 - 2*h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -5, -1, -15 in descending order.\nAnswer: -1, -2, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -87, -179, -271, -363?\nAnswer: -455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = k**3 - k - 1. Let q(v) = 5*v**3 - 9*v**2 - 20*v + 5. Let t(l) = 6*h(l) - q(l). What is the remainder when t(-5) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by -238303?\nAnswer: -5\/238303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 1 + 2*u - 4*u + 0*u + 3*u + (2 + 2 - 2)*(u - u + u) + 190*u - 4 - 186*u - 5 + (1 + 4 - 2)*(724 - 61*u - 724) to the form g + p*u and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-1\/5))**33 assuming p is positive.\nAnswer: p**(-33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (((0\/(-9))\/10)\/(-2))\/(-6). Which is the nearest to j?  (a) 1137  (b) -0.2  (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = -2*p + 18. Let q = 12 - p. Suppose q = -v - 2*c, -v + 10 = -c - c. Let g(r) = r**3 - 3*r**2 + 3*r. Give g(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**3 - k**2 + 2*k - 10. Determine j(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n**3 - 120*n**2 - 111*n + 940. Calculate a(-119).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1939.791 + 1939. Let n = -0.209 + j. Are n and -0.02 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from owaoewwowoxi. What is prob of sequence we?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 18*x**2 - 55*x - 47. Let b(l) = -6*l**2 + 19*l + 16. Let r(v) = -11*b(v) - 4*g(v). What is r(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 210*j**2 - 147*j + 147. Let b(f) = f**2 - f + 1. Let s(y) = 147*b(y) - n(y). Let a(h) = 3*h**2. Determine s(a(l)).\nAnswer: -567*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -89 - -99. Suppose -26 = s*l - 5856. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -o - 1. Let l(f) = f - 2. Let t(m) = 6*k(m) - 5*l(m). Determine t(-3).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8\/(-20)*(-2 + 282\/96)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 7, 39, 83, 139, 207, 287, 379?\n\"Answer: 6*u**2 + 14*u - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 998 is divided by 480.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 3*l - 2. Suppose -5*m + n = 22, -5*m - 6 = -2*m - 3*n. Let y(w) = -4*w + 3. Give m*y(f) - 7*x(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-16)\/(-2 - -4))\/2. Let n = 20 - d. Factor -n + 264*c + 1470*c**3 - 1008*c**2 - 1029\/2*c**4.\nAnswer: -3*(c - 2)*(7*c - 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.01179 + -0.05829. Let p = 0.0465 + h. Which is the second smallest value?  (a) 3\/5  (b) p  (c) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {j: 1, o: 1, s: 4, f: 1, p: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4)\/10 - 49735\/(-25). Let b = -23909\/12 + f. Find the common denominator of 9\/16 and b.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -5*g**2 + 28*g + 31*g + 4*g**2 - 11 - 80*g. List the prime factors of i(-7).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29863015 is divided by 3657?\nAnswer: 3610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -1\/6  (b) -0.038  (c) 5\/8  (d) -2\/5  (e) -5  (f) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -o**2 + 8*o - 5. What is the least common multiple of v(5) and 355 + 36\/6 + ((-6)\/(-2) - 0)?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1945\/2 - -972. What is the fourth biggest value in 22, 0.2, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 2*p - 5008 = 0, -3*o = 2*p + 2474 - 9990. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + 2 = 22, 4*h - 3576244 = -4*o. Let y(r) = 274058*r**2 - 2*r + 1. Let i be y(1). Let x = i - h. Round x to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 8\/36 + (-114)\/27. Let x(g) = 5*g**3 + 3*g**2 - 3*g - 1. Let u(b) = b**3 + 1. Let t(f) = -4*u(f) + x(f). Calculate t(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (-5*((sqrt(187) - (sqrt(187) + sqrt(187)*-3)) + sqrt(187)))\/(3*sqrt(22)\/sqrt(2)).\nAnswer: -20*sqrt(17)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 5*i - 13 = -d, i = d - 2. Let p = 2 + d. What is the units digit of 5 + p\/1 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/2019 and -163\/5382?\nAnswer: 3622086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 4 = 2*y, y + 12 = 5*y + 3*u. Let t be (y*(-4 + 13\/3))\/(-1). Solve 2*o - 6*o + 16 = t for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*a + 4*a + k + 4, -3*a + 5*k - 52 = 0. Let s be (a\/6)\/((-3)\/28). Let g = 19 - 6. Is g at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (24270\/13753)\/(10\/(-85)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 3, h: 3}. Give prob of sequence cc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 322 minutes after 12:45 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -4*m + 2. Let s(p) = 3*p + 159. Let v be s(-27). Suppose v = -5*t + 83. Let d(u) = -u + 1. Calculate t*z(w) - 3*d(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(22)*-3)\/sqrt(11).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = u + 12. Let l be 11250\/(2\/u - (-67653)\/101520). Round l to the nearest one million.\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -46472 divided by 11618\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 76657307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u*u**(-16\/7)*u)**48)**(-42) assuming u is positive.\nAnswer: u**(-1440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11314 = 5*i + 3*y + 583, i - 2139 = 3*y. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is x in x**3\/6 - 17*x**2 = 0?\nAnswer: 0, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1, 2\/159, 29, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that 5*w**4 + 20060*w**3 + 20220150*w**2 + 200380140*w + 180180045 = 0.\nAnswer: -2001, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-8 + 1506\/195)\/(8\/40)\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 2*g - 68 = 0, 2*z - g - 9 = 44. Suppose 189 = 5*v + z. Does 16 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -d**3 + 14*d**2 - 13*d - 7. Give y(13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 137393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in eleven halves of a meter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*o - 14 = 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = m + 11 + 9. Let t = m - -71. Let v = 153 - t. Is 34 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -15, 458, -5, 15853 in decreasing order.\nAnswer: 15853, 458, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 4 - 2*k - 3)*(-2*k - 2*k**2 + 2*k).\nAnswer: 4*k**3 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) -0.1  (b) -235  (c) -2\/3  (d) 2\/27  (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 + 2 = -4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 times -5.253\nAnswer: 1.5759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2422 - 1638. What is the hundreds digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -107508 divided by 4\nAnswer: -26877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17350800?\nAnswer: 2, 3, 5, 19, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/5*(-5)\/702*18?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xexe when four letters picked without replacement from {e: 4, x: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3 - 2*s + 1\/4*s**2 + 1\/4*s**3.\nAnswer: (s - 3)*(s + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 16 = u, -3*u = 4*k + u - 8. Suppose -x = k*x - 8. Factor -2*h**x + 7*h**3 - 6*h**2 - 5*h**3 + 8*h.\nAnswer: 2*h*(h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49*a - 342 - 185 + 46 = 352 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1292 is divided by 26.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r*r*r**(1\/2)*r*r*r\/r**5 assuming r is positive.\nAnswer: sqrt(r)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 235 is divided by 117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -28682 + 46421. Let m be (-4)\/(-10) - l\/60. Let y = m - -289. What is the common denominator of y and -26\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 6\/4 - (-9)\/4*-2. Which is the smallest value?  (a) x  (b) -2  (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1979974*z**3 - 2012181*z**2 wrt z.\nAnswer: 11879844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 74*b - 29. What are the prime factors of g(3)?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8455 and 6745?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -4, -4, -24, -82, -196, -384, -664?\n\"Answer: -3*r**3 + 8*r**2 - 3*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 4, v: 1, c: 2, z: 2, k: 1}. What is prob of picking 1 c and 1 v?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 113002 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 375.6032 seconds to microseconds.\nAnswer: 375603200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6\/(-2)*1\/(-1). Let x be (8\/(-5))\/(10\/(-25)). Suppose -4*l - 16 = 0, -x*l - 11 = m - 0*l. Solve -r*k + 9 = 2*h - 1, -m*k = -2*h - 22 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -590\/3 + 196. Which is the third smallest value?  (a) 0.01  (b) -2  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 161 - 339\/2. Let r = d + 191\/22. Factor -18\/11 - 12\/11*l - r*l**2.\nAnswer: -2*(l + 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvviivfvivfvfvvvvifv. Give prob of sequence vi.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -306.29 - -319.19. Let w be (-3)\/(-4) - 3\/4. Which is smaller: s or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 + 36 + (380 - 505)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 30869860 a multiple of 622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 167660 and 498?\nAnswer: 502980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 521 = 3*y, -180*a = 3*y - 179*a - 541. Solve 193*v = 167*v - y for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ikik when four letters picked without replacement from {i: 7, u: 4, k: 5}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f**2\/3 - 49202032*f\/3 - 151302497058064\/3 = 0. What is f?\nAnswer: -6150254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g**3 + 4*g**2 + 13*g - 23. What is d(6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -731 or -2919\/4?\nAnswer: -2919\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from psdpse. What is prob of sequence ed?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 7044454 to the power of 1\/2, to the nearest integer?\nAnswer: 2654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = -h - 48. Suppose 4*j - 3*s = h, j + j - 22 = -2*s. Suppose 5*d + 16 = 6*d. What is the remainder when d is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -29271\/420014 - -21\/1579. What is the common denominator of 145\/6 and r?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3 + 4120424?\nAnswer: 4120421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 41611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(11) + 1)*2 + (3*sqrt(66)\/sqrt(6) - sqrt(11)))*-4.\nAnswer: -16*sqrt(11) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ntnnnttltt. What is prob of picking 1 n and 1 t?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 4*b**4*n**2 - b**2*n**3 - 13*b**2 + 346*n**3 wrt b?\nAnswer: 16*b**3*n**2 - 2*b*n**3 - 26*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-1)\/20*12 - -2)*(-10)\/(-6). Suppose 3 = 5*l - 3*f - 2, -5*l = 3*f - 5. What is the third biggest value in -4, l, b, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 15*b - 15*b + 2*b**4 - 2*b**3 - 3 as f*b**4 + y*b + v*b**2 + n + w*b**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((v**(1\/2)*v)\/v*v)\/(v*v*v**(-3\/8)))\/(v*(v*v*v\/(v**(3\/2)\/v))\/v*v)**(-24))**(-15) assuming v is positive.\nAnswer: v**(-10065\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in seventeen halves of a gram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rrs when three letters picked without replacement from {r: 5, p: 2, s: 2}.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -518, -356, -86, 292, 778, 1372, 2074?\nAnswer: 2884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1)\/(-227)*-3*23. Is f less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -119 by -102.\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 168 = -3*o, -5*s + 177 + 7 = -o. Suppose -2*d + 6*d - s = 0. Let l = -104 - -203. Calculate the greatest common factor of l and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 56 divide 337596784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 24 and 1269.\nAnswer: 10152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -199*z**4 + 91*z**4 + 90*z**4 - 2*z**2 - 42*z**5 - 2615*z + 1 + 19*z**4 wrt z?\nAnswer: -840*z**3 + 12*z**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -41\/58 and -86\/4665?\nAnswer: 270570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -153*b*u**3 + 2*b*u + 17*b - u**3 + 2*u**2 - 13 wrt u?\nAnswer: -918*b*u - 6*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zziziztffufiftifiz. Give prob of picking 4 i.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -75*w + 77*w - 92 = 0. Suppose w*k = 43*k + 51. What is the highest common divisor of k and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -792 divided by -11.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*r = 3 + 9. What is the common denominator of -25\/346 and ((-11)\/(-1320)*-5)\/(r\/100)?\nAnswer: 2076","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a meter in centimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -3*g**2 - 567*g + 584. Is 180 a factor of b(-78)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 6 - (5 + (-25 - -10)). Solve 0 = 5*r - m + 5*m + 25, 4*r - 4*m = h for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2\/17  (b) 1  (c) 6  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -34*t**4 - 26*t**3 + t + 237168.\nAnswer: -408*t**2 - 156*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1)\/((-1)\/226) - -2. Let j = -141 + c. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30 = 299*k - 289*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 54660222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - 31 + 7*o + 13 to i + n*o and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + -5 + sqrt(32).\nAnswer: -10 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 232*y = 140*y + 2392. Solve -2 - 50 = -y*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4, 0, 3, 6\/11, -0.0285?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 394\/8 + (-1)\/4. Suppose 8 = l - 5*l, 3*s - 4*l = 29. What is the highest common factor of j and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 197799 is divided by 1465?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-4\/7)\/(w*w**(2\/7))*w*w\/(w*w**6)*w**(-1\/5))\/((w*(w\/(w\/w**(-3)))\/w)\/w**(-2\/5))**(-43) assuming w is positive.\nAnswer: w**(-832\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -c + 7. Let v be a(4). Suppose -2*b = k - 50 - 8, -218 = -3*k + 5*b. Suppose -143 = -3*o - 2*r, -2*r = -v*o + 73 + k. Is o a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -9*u - 2. Let c be f(-1). What is the derivative of -c*x**2 + 0 + 3 - 2 + 9 wrt x?\nAnswer: -14*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -200 - -200. Let n(u) = -3 + c - 7*u + 2*u + 6 + u**2. Calculate n(8).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 14249 + -20671. Let q = 5935 - n. Suppose -m + q = -5786. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 359*k + 119 = 101*k - 139 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 25175 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-238)\/35)\/(57\/30 + -2). Let s = 83 + c. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 28563744 and 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = -4*a + 7*m - 2, -4*a + 3*m = -2. Sort a, -5, -3 in ascending order.\nAnswer: -5, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1723 + -1709. What is the remainder when f is divided by (2\/(-5))\/((-2)\/10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eede when four letters picked without replacement from {x: 5, e: 3, d: 1, w: 3}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 5299781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (6 - 5 - (-9 - 2)) - 63?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkkkkkkkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5 - 2. Let c(w) = 2*w**2 + 3*w + 3. Let b(h) = 6*h**2 + 10*h + 10. Give s*b(l) - 10*c(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 27578 - 27518. Calculate the greatest common factor of 7392 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -199, 1490, 27, -5, -3 in decreasing order.\nAnswer: 1490, 27, -3, -5, -199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5\/4 in 0.1384, -2\/11, -4, 47, 0, -0.7?\nAnswer: 0.1384","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m**2 + 1081*m - 4345. Determine k(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 8125837447 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let -8*y**2 - 318511864*y - 3170306484648578 = 0. What is y?\nAnswer: -39813983\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.347 times -12450?\nAnswer: 66570.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1114 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 868 = 3*c - 5084. Suppose -5*m + c = -5591. Is 1\/2 + m\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the second derivative of -z**6\/150 + 93*z**5\/100 + 19*z**4\/6 + 3375*z. Determine n, given that u(n) = 0.\nAnswer: -2, 0, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - 19 = 3*z, z = 39*s - 34*s + 7. Which is the biggest value?  (a) -1\/4  (b) 47  (c) z  (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2318164931 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gmrcs. Give prob of sequence rs.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -3109*f - 9196. Calculate a(-3).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -2*r + 10*r - 247 + 396 - 8*r + 22*r. Let g be k(-7). Sort 3\/5, 5\/2, g, -2\/27.\nAnswer: g, -2\/27, 3\/5, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1132 divide 4449892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 904533763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = -5*r + 68, -n = -6*n - 20. Solve -5*l = -v - 20, -5*l + 2*v + r - 1 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 159*n**2 + 3 - 739*n**2 + 2787*n**2 + 2191*n**2 - 236*n**2.\nAnswer: 4162*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 5, -225, 4, -1183, 1.\nAnswer: -1183, -225, -1, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*y**2 - 32*y**2 + 1 + 73*y**2 - 3*y**2 - 1.\nAnswer: 49*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 26*t - 1. Let j(w) = -7. Let g(z) = -9. Let r(c) = 3*g(c) - 4*j(c). Let i(q) = -m(q) - r(q). Let k(v) = v. Determine k(i(s)).\nAnswer: -26*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 16080.623 rounded to the nearest ten?\nAnswer: 16080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 29855557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 28 by 48567.\nAnswer: 28\/48567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/2 at least as big as -8\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1\/(5\/((-90)\/(-33)) + -2). Let c be (2 - (g - 3)) + (-14)\/7. Solve -c*d + 12*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 933383951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3  (b) -5  (c) -0.0225  (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f*f**(-1))\/f**(-1\/5))\/((f\/f**(-3))\/f**(-3)))\/((f**(-1))**(1\/33)\/((f**5*f)\/(f**(-3)*f))) assuming f is positive.\nAnswer: f**(203\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -125 + 71 = 22*o + 26*o - 102 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence efg when three letters picked without replacement from fkgemvvke?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hc when two letters picked without replacement from chhhch.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve g - 6*g = w + 7, 2*g = 4*w + 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/2345 and -32\/134335.\nAnswer: 940345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*r**4 - 18244*r**3 - 1580078*r**2 - 34051184*r.\nAnswer: 2*r*(r - 9208)*(r + 43)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 12*h + 251. What is the remainder when v(0) is divided by 51?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*h**3*r**2 - 5*h**3*u + 10*h*r**2*u + h*r**2 - 4*h*r*u wrt h?\nAnswer: 18*h*r**2 - 30*h*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -58601824, -117203651, -175805478, -234407305, -293009132, -351610959?\n\"Answer: -58601827*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*h - 34 + 28. Put -5, 0.5, -0.5, h in descending order.\nAnswer: h, 0.5, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve v**3\/3 - 2565735*v**2 + 4937245784801*v + 14811745051609\/3 = 0.\nAnswer: -1, 3848603","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = -3*v - 3*v. Suppose 0 = -33*j + 14*j + 342. Sort v, j, -2.\nAnswer: v, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1660 (base 10) to base 11.\nAnswer: -127a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 45\/6*(-2)\/3*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.02 times -0.4403?\nAnswer: -2.210306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 1904340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 3 + 4444*a - 13 + 11.\nAnswer: 4444*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 151\/81413 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -2*g, -53 = -d + 10*g - 13*g. Which is smaller: 346\/5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14971 is divided by 892.\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -989*r = 4771 + 22921 for r.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (49\/77)\/(2730\/8580) - 3\/((-282)\/(-184))\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eewtetttkttkkwektqw. What is prob of picking 1 w and 1 k?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 11847 and 141141?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sz when two letters picked without replacement from {b: 2, z: 8, y: 1, s: 1, e: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**3 + 6*q**2. Let n be i(6). Suppose v + 2 + 3 = -5*d, -4*v = 2*d - 16. Which is the closest to n?  (a) -5  (b) d  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of w**5 - 81029*w**3 - 4682*w + 66.\nAnswer: 20*w**3 - 486174*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1295 = 4*g + 2*m - 1407, -4*m = -3*g + 106 for g.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 0.4163394km?\nAnswer: 416339400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.05 or -12782\/13?\nAnswer: -12782\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*j + 0*a + 39 = -a, -54 = -4*j + a - 43 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 0.151248 tonnes?\nAnswer: 151248000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the second derivative of 53*p**3\/6 + 10*p**2 + 5*p. Let m be f(-13). Let t = m - -2729\/4. What is the common denominator of -79\/26 and t?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = 3*b - 16. Let a = 0 + b. Let n be (-16)\/(-72) + 156\/27. Solve q = n - a for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that 5*d**2 - 14253565*d - 57014340 = 0.\nAnswer: -4, 2850717","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 116 - 113. What are the prime factors of ((-322)\/m)\/(10\/(-15))?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 2349748579 from 16434.\nAnswer: -2349732145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**3*g**(3\/7)*(g*(g*g*(g*(g*((g\/g**(-2\/9))\/g)\/g*g*g)\/g)\/g*g*g*g)\/g*g)**10 assuming g is positive.\nAnswer: g**(4766\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 17528313.6 nanoseconds to days.\nAnswer: 0.000000202874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 7, l: 1, f: 2, c: 4}. What is prob of sequence fl?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 2*j**2 + 161*j - 41 - 4*j**2 + 3*j**2 - 152*j. Let i be g(-12). Let x(b) = b**2 + b - 1. Let c(s) = -2*s**3 + 5*s**2 + 5*s - 2. Give i*x(v) + c(v).\nAnswer: -2*v**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 12589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-5)\/((-15)\/33) + 3. Let x = u - 5. Solve 0 = 2*i + y + x, 0 = -2*y + 3 - 13 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -p. Let k(l) = 4*l**2 - 1. Suppose -1 = 11*z - 12*z. What is z*k(v) - 2*t(v)?\nAnswer: 4*v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50*c - 248689 = -18*c + 587847. Is 22 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 107039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**8*s*s)\/s**(-3\/7))\/(s**(1\/8)*s*s**(-20)) assuming s is positive.\nAnswer: s**(1641\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-81)\/(-12))\/(-9)*-4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**3 - 5*r**2 + 22*r - 8. Let v be d(-8). Let q(t) = v*t - 2*t**2 + 8*t - 22*t + 0*t**2. Let p(f) = 2*f**2 + 7*f. Calculate -6*p(g) - 7*q(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6\/23, 4, -0.16, -24, -2 in increasing order.\nAnswer: -24, -2, -0.16, 6\/23, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -150.8 + 166. Let j = -6.2 + g. Let t = 16 - j. Which is the smallest value?  (a) t  (b) -2  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - 0 - (-27 + (-10 - -31) - -34).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9511 is divided by 432?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1942478 times 2?\nAnswer: 3884956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mhdhmmjmthtmmzmjt. Give prob of sequence ddjd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1637 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3 + -3.2. Let m be (3\/(-12))\/(2\/6). Which is the second smallest value?  (a) r  (b) -5  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -4*v**2 - 40*v - 36. Let n be x(-9). Suppose -g - j + 2 = n, g + 10*j + 6 = 13*j. Factor 0*c + g - 2\/3*c**4 + 2\/3*c**3 + 0*c**2.\nAnswer: -2*c**3*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -74, 10, 4, 5.\nAnswer: -74, -5, 4, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v + 9. Let p be g(-5). Let j(s) = -p*s + 6*s + s. Let b(z) = 2*z. Determine j(b(x)).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 minutes after 6:37 AM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3569243 - -3569266.00091. Let y = 32 + -9. Let j = o - y. Round j to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -51491 by -31.\nAnswer: 1661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 18*g*r**2 - 40*g*r + 1343*g + 163*r**2 + 28818*r - 1 wrt g.\nAnswer: 18*r**2 - 40*r + 1343","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2027\/770 - 5\/154. Is h smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -93740*a - 11061323. Calculate q(-118).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1266248 and 26228?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the second derivative of y**7\/2520 + y**6\/360 - y**5\/40 - 7*y**4\/2 + 14*y. Let g(o) be the third derivative of z(o). Calculate g(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p + 141*t = -p + 11415, 187 = 5*p + 3*t + 44 - 110 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.5 times 12181047?\nAnswer: -42633664.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 78 + (17 + -58 + 28 - (-3 + 1))\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 2089587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - (-71 - -62)) + -62 + (-2 - 0).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 2*x - 967 = 6230, -5*x = 2*y - 4776. What are the prime factors of y?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 4897, 9789, 14667, 19525, 24357, 29157?\n\"Answer: -u**3 - u**2 + 4902*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 53\/33 + -14\/11. Which is greater: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 416560 = -1791*o - 3289*o for o.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -4*t + 8*t - 180117, 0 = -g - 8*t + 180097. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 86*z - 165*z + 41*z + 266 = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-2 + 0 + 3)*(0 - 3 + 1) + 58 - 108 + 56)*(-402*f - f**2 + 402*f) to the form p*f**2 + l + a*f and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 635 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = -3*x - 10, 0*x - 3*y = -3*x + 6. Let l = -57 + 57. Solve l = -2*t + 6 - x for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 134672.58 months?\nAnswer: 112.22715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 80 + 24 = 4*s. Suppose -3*w + 5*w = -s. Let y = w + 18. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -6*2*(1 - (-244)\/24). Which is smaller: s or -129?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 2, g: 1, z: 2, x: 1}. What is prob of picking 1 g and 1 y?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 2*q**2 + 6*q + 4. Let c(u) = u**2 + u - 4. Let j be c(-5). Let y be -11 + j - 14\/2. Let i be p(y). Solve -4 = -i*l + 2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**(-3\/8)*q\/(q\/((q\/(q**(-7\/2)\/q))\/q)))**(-5)\/((q**(1\/5)*q\/(q\/q**(-1)))\/((q**(-5)*q)\/q**(-3\/10))) assuming q is positive.\nAnswer: q**(-1141\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-44)\/165*-3*58\/((-1624)\/(-2940)).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*f - 54 = -20*f - 11*f. Solve 0 = f*c - t + 22 - 24, -2 = c + t for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**0)**(-1\/8)*(p**(-1)*p)**(4\/29) assuming p is positive.\nAnswer: p**(-1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 10069, 40560, 91379, 162526, 254001, 365804?\n\"Answer: 10164*q**2 - q - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) be the second derivative of -2*t**4\/3 + 9*t. Let k(o) = 2*o + 5. Let n(d) = -3 + 10 - 6. Let b(a) = -k(a) + 5*n(a). What is s(b(l))?\nAnswer: -32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -385336.2254 + 385428. Let y = z + -0.0746. Let s = y + -97. What is s rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 5, p: 2}. What is prob of sequence jp?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 342\/4 + (-3)\/2. Let j be 8\/(-20)*(-25)\/(-4)*(-1386)\/55. What is the highest common factor of s and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1322, 16, -0.2, -2\/9 in increasing order.\nAnswer: -2\/9, -0.2, 16, 1322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:49 PM and 4:56 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 317225 is divided by 1117?\nAnswer: 1114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 33\/5 and 67\/143866338.\nAnswer: 719331690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3343 + 3342.6. Let m = -19 + 24.7. Let s = m + -6. Which is the second smallest value?  (a) -5  (b) s  (c) f  (d) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -43.6 - -43.44. Which is greater: -31 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16905 = -12*x + 16989 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 285\/(-60) - (-9)\/(18\/(-5))*-2\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 44\/6 - 3\/9. Let o be 2 + 2 + y - -2. Let w = -6 + o. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -3 + (2\/1)\/1. Let o be 4\/(-2)*2\/a. Is 5 at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 divided by -181?\nAnswer: -71\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -758172675 divided by -5\nAnswer: 151634535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the third derivative of -13\/30*t**5 + 13\/3*t**3 + 0 + 32*t**2 + 0*t**4 + 0*t. Differentiate n(a) wrt a.\nAnswer: -52*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (6 + 41670\/(-27))*6\/(-4). Let r be 12\/27*(-31437)\/(-6). Let m = r - d. Calculate the common denominator of 49\/10 and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2250)\/(-3750))\/(1\/((-20)\/(-54))).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the first derivative of -2*s**5\/15 - 2*s**4\/3 - 8*s**3\/9 + 45. Factor w(c).\nAnswer: -2*c**2*(c + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.14 * 68.\nAnswer: 9.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:34 PM and 9:28 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of -80 and -8686.\nAnswer: 694880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 5*r - 6 = 0, -3*r - 2*r = 10. Let v(p) = 2*p + 8. Calculate v(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6695, -26775, -60241, -107093, -167331?\nAnswer: -240955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.04 + -4.04. Let q = 4.01 + z. Let t = -0.11 + q. Which is smaller: t or -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 6592.19 micrograms?\nAnswer: 6592190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 3*l = -22. Let v = -11 - -3. Let x = l + v. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-37)\/((-296)\/48) + (-28)\/6. Let f = 4 - -1. Suppose -s - 3*s + 2 = -2*c, s + 5 = -f*c. Which is smaller: s or y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 16*(4 + (4 - (-124)\/(-16))). Solve 0 = 3*x - x + t for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1.9  (b) -0.13  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 250 minutes before 6:41 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 299 is divided by 41?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(-2)*(-13 - 54\/(-4))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 200714 + -200709. Let k be 1\/(-4) - 13\/(-20). Let f(m) = -2*m + 6. Let l be f(6). Which is the fourth biggest value?  (a) 0.2  (b) l  (c) k  (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhhhhhhhhhehhhhh. What is prob of picking 2 h and 1 e?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Is 5088 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 6*l - 2*l**2 + 13*l - l**4 - 4*l - l**3 to s*l**3 + k*l**4 + i*l**2 + u + m*l and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10)\/(-50))\/(12\/(-90))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6293, -6460, -6637, -6824, -7021, -7228?\nAnswer: -7445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 2\/15 of a hour?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/(-1)*1 - 0. Let j(z) = -6 + z + 13 - 6. Determine j(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/26*7)\/((1806\/(-21))\/86)?\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 251 divide 407775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -65 + 68. Calculate the highest common divisor of 12 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = y + 69, y + 104 = -5*a + 3*y. Let h = -20 - a. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 140716 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = -0 + 3. Put -3, -2, s in ascending order.\nAnswer: -3, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r + 12. Suppose -3*y = -0*y - 3*j - 27, -5*j - 12 = -2*y. Suppose 2*l - 31 + y = 0. Let b be t(l). Is b at most as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) 0.3  (b) 140  (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-6)\/(-8) - 2\/(-8). Suppose -u - 4 = -l. Suppose k = 2*w + 16, 0 = 4*k - 4*w - 9 - 75. Solve 0 = -b - 3, k = -l*p - 3*b - 3 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53*o + 2*v - 105 = -56*o, o - 35 = -2*v. What is the remainder when 1202 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -82 divided by 7.\nAnswer: -82\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 0*z + 2 = 0. Let g(v) = z*v**2 + 0*v**2 - 2 - 3*v**3 - v + 3*v. Let w = -166 + 168. Let x(l) = 6*l**3 - 5*l**2 - 5*l + 5. What is w*x(u) + 5*g(u)?\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 30*z. Determine u(1).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -d**2 - 2*d - 12. Let k(b) = -1. What is -a(o) + 4*k(o)?\nAnswer: o**2 + 2*o + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) be the third derivative of -w**4\/8 - w**3\/3 - 2*w**2. Let l be (-56)\/(-21) - 4\/6. Suppose 7 = 3*s + f - l, 2*f = 3*s. What is y(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -15*w. Let b(o) be the first derivative of -o**3 - 16. Give f(b(m)).\nAnswer: 45*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 10 = 12, y + 4*g = -43. Let d be ((-20)\/y)\/((-3)\/(-21)). Let k(v) = 2*v - 7. Give k(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.6300174 - 0.63. Round x to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36548689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d + 4*d = -4*j + 56, 0 = j + 2. Let l = 9758 + -9757. Which is the closest to -1?  (a) 3  (b) l  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*d + 2*d - 4. Let l be (d - (6 + -3)) + 3. Is 1146 - l - 0 - -4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 79 and 7682339?\nAnswer: 606904781","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 45778, 91605, 137478, 183397, 229362?\nAnswer: 275373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 231 is divided by 5\/(10\/(8 + 242)).\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(1*sqrt(84) + sqrt(84))*2)\/((-2*sqrt(21)*6)\/sqrt(3)).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 95 = -k, 4*k = 4*u + u - 120. Let r be 8\/u + 414\/15. Suppose 4*t = -3*x + 16, x + 4*t - r = -3*x. What is the remainder when x is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -188*m - 4696. What is c(-25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -24 - 6075?\nAnswer: -6121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 485 - 483. Suppose -3*s - 2*i + 12 = 0, i + b = -3*s + 11. Solve -2*m = s*m + 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1260 + -1260.1. Which is the nearest to 4?  (a) 7  (b) -1  (c) z  (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17.7*-0.2.\nAnswer: 3.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -2*q**2 + 10*q + 8. Give r(9).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 1879 - 35 = 0. Let p = -391 - o. What is the remainder when p is divided by (-2 + (-110)\/(-60))\/((-1)\/186)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 3 + p**3 - 2*p**3 + p**2 - p + 11*p - 6*p**2. What is the tens digit of y(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-147)\/60 + (-355)\/(-25) + -14.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 740 + -719. What is the units digit of 2611\/d*9\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3640*a - 8306*a - 223521 - 278211 = 0 for a.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 43*k**5 + 87*k**4 + k**2 + 3079*k - 1.\nAnswer: 860*k**3 + 1044*k**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9288 and 1398888.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6 in 5, -5, -0.1, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = g**3 + 15*g**2 - 287*g - 23. Let v be r(-26). Which is the closest to -22?  (a) -3  (b) -0.3  (c) 0.2  (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -145259722 at least as big as -145259722?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -1453398000 to the nearest 1000000.\nAnswer: -1453000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) -1\/5  (b) 4\/319  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -6837647.6 to the nearest ten thousand.\nAnswer: -6840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -55\/3 + 18. Let l = -39 - -36. Are z and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 166*-174*7\/(-84).\nAnswer: 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from ceep?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*x - 8*x = 991. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(133) - 1*sqrt(133)) + sqrt(133) + 4*sqrt(133)*5 + sqrt(133))\/(((sqrt(7) - (sqrt(21)*2)\/sqrt(3)) + sqrt(175)*4)*3).\nAnswer: 22*sqrt(19)\/57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -5, -32, 3\/5, 3.6?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -982*r + 36316. What is t(37)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f - 22. Give g(22).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -8 + -8 + 1 + 6\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = -153 + 9. What is the units digit of (-189)\/g - 3\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) 1014  (b) 0.1  (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s**3 - 3*s**2 + s + 2. Let b be p(-2). Put -2, 1, b in increasing order.\nAnswer: b, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3.5489 - 0.4279. What is u rounded to 1 decimal place?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 348 - 346. Solve o*i = -0 + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 10155\/4, 5\/3, -4822, -3 in ascending order.\nAnswer: -4822, -3, 5\/3, 10155\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3542.\nAnswer: 2, 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 875470?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**3 - 3*f**2 - 4*f. Let z be w(4). Suppose -3*p + z*p + 15 = 0. What is the least common multiple of p and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:00 PM and 5:31 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 31.8 times 112?\nAnswer: 3561.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:34 AM and 3:02 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the second derivative of -1\/2*n**3 + 0*n**4 + 0*n**5 - 3\/2*n**2 - 39 - 1\/6*n**7 - 1\/10*n**6 - 2*n. What is the second derivative of m(h) wrt h?\nAnswer: -140*h**3 - 36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 20796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-144)\/96*17*(-12)\/9?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = -4*i. Suppose -3*x = 9 - i. List the prime factors of 4\/(-6) + (-23)\/x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 3823, 15328, 34503, 61348, 95863, 138048, 187903?\n\"Answer: 3835*b**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 = -10*o + 14*o - 3*m, 5*m = -2*o + 21. Suppose 0 = o*c + 8 - 80. Solve c - 1 = 4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 178 + -166. Suppose -2*i = 2*i - 12. Solve -i*c - 3 - p = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -26 + 3510?\nAnswer: 3451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -414 + 412. Let r = -1 - -6. Is r < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 128 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-73 + -65 - -61) + 76.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -i. Let g be k(7). List the prime factors of g\/(-2) + 9\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 38666.\nAnswer: 2, 19333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -3*((-38)\/14 + 16\/(-56)). Suppose 13*x = o*x + 7196. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -75790 - -6480.5812.\nAnswer: -69309.4188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2375 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -44.67193 + 6.67883. Let y = 38 + n. What is y rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -34441014 - 1331?\nAnswer: -34442400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d = 2*a + 18, 5*a + 4*d - 236 = -245 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*y**5\/3 + 35*y**4\/3 + 55*y**3\/3 + 25*y**2\/3.\nAnswer: 5*y**2*(y + 1)**2*(y + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-7244)\/(-231) + 98\/1029. Is 30 greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 45216784.\nAnswer: 2, 73, 38713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 26*o**2. Let c(p) = -50*p**2 - 3*p. Calculate c(a(m)).\nAnswer: -33800*m**4 - 78*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, e: 2, b: 1}. What is prob of sequence ge?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n**3 + 5*n**2 + 2*n - 2. Let v be t(-5). Let h = 20 + v. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*x**2 - 20*x - 8*x**2 - 13*x + 14*x.\nAnswer: -3*x**2 - 19*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:22 AM and 9:54 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-4 + ((0 + sqrt(448) - sqrt(448)) + 1)*-6 + -1)*2.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 177 + -182. Let p = -0.02 - 2.98. Let q = -6 - p. What is the closest to -2 in 2, q, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d, 1 t, 1 f, and 1 q when four letters picked without replacement from tcmqdctcmtmfmqm.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-8)\/(20\/(-8) - (1 + -3)). What is the common denominator of -21\/11 and 4\/6 + o\/24?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:43 PM and 5:54 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide -22*(-58)\/12 - (-4)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - (8 + -11 + -10) - 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 292603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 2*j - 18 = 0, 2*g + 11 = -2*j + 49. Solve 5*m + g = m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 19*x**2 - 52*x + 62. Let n(k) = -7*k**2 + 17*k - 21. Let b(m) = 3*l(m) + 8*n(m). Let w be b(19). Let r(u) = -12*u**3 - 2*u**2 - u. Determine r(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -3*t**2 + 223*t. Let h(d) = 492*d. Give h(a(s)).\nAnswer: -1476*s**2 + 109716*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -561 or -491?\nAnswer: -561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = v**3 - 4*v**2 - 6*v + 5. Let g be i(5). Let y(u) = -u**2 - 1. Calculate y(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(432)*3 + -2*sqrt(108) + sqrt(27))\/(-1*(sqrt(81) - (sqrt(81) - 1*sqrt(81)))*3).\nAnswer: -3 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -22420475*w**4 - 5328628*w wrt w.\nAnswer: -269045700*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6371*w - 217*w + 545584 = 8844*w - 2744*w for w.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 58\/(-24) + (-55)\/(-33)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 3204 = 2*n, 15*n + 1617 = t + 11*n. Calculate the remainder when t is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -17 - -25. Let r = 7 - j. Let a = 789 - 1579\/2. Sort -7, a, r in descending order.\nAnswer: a, r, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*m - 2*i + 21, 0 = 3*m - 3*i + 70 - 76. Solve -1 = -m*p - 26, 0 = -2*q - 24*p - 110 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 859 or -18.5?\nAnswer: 859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3 or -41?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1468296 is divided by 11564.\nAnswer: 11232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/10)\/(200\/480*8\/25).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 829893*z**3 + 563*z**2 + 2*z + 4 wrt z?\nAnswer: 4979358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-282)\/9306)\/((-72)\/(-27))?\nAnswer: -1\/88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((v**(2\/5)*v)\/v)\/v)\/v)**(-1\/69)\/(v**1)**(-33) assuming v is positive.\nAnswer: v**(11393\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 658*c - 28*c**3 + 218*c + 30*c**3.\nAnswer: 2*c**3 + 876*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1754007094 to the nearest integer?\nAnswer: 1206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j - 1 + 1)*(45 + 8 - 15).\nAnswer: -38*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12884277?\nAnswer: 3, 7, 127, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 443 is divided by 248?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*k**2\/7 + 3730*k\/7 - 3728\/7.\nAnswer: -2*(k - 1864)*(k - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 320905951 + 0*v + 3*v - 320905951.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + 3 + (-25 - -19) - 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 30704 and 109136.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -100 - 100101021111001?\nAnswer: -100101021111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in -0.2, 1\/7, -0.5, -1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -169 - 4*y**4 + 39 + y**2 - 2*y**3 - 43*y + 129 as z*y**3 + b*y**2 + h + u*y**4 + c*y and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 681*j + 1062*j - 18733 = 37043 for j.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**4\/2 + 3*p**3\/2 - 3*p**2\/2 - 11*p\/2 - 3.\nAnswer: (p - 2)*(p + 1)**2*(p + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -b29b (base 12) in base 3?\nAnswer: -222122002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1622*l**4 - 1441*l wrt l.\nAnswer: 19464*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-6)\/((-60)\/25))\/((-2)\/4). Let q(s) = -238682*s**3 + 8*s**2 + 9*s + 17. Let n be q(j). Let r = n + -43535422. Round r to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 1 - 5 + 537*f**2.\nAnswer: 537*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*c = -c + 1143. Let i = 208 - c. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 486 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.319796 millennia in months?\nAnswer: 87837.552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.3 in 0, -14, -4, -39?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -54, -141, -228?\nAnswer: -315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 15) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wuiwhuwhwglhwwl. What is prob of picking 1 g and 1 l?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2182034 a multiple of 190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2582361 divided by 31881.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.2 + 4.2. Let g = -7 + k. Put -2\/3, 3, g in descending order.\nAnswer: 3, -2\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -113 + 121. Let b(z) = 2 + 6 + 9 + x*z - 11. Let u(w) be the third derivative of 23*w**4\/24 + 17*w**3\/6 - w**2. Calculate -17*b(n) + 6*u(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 24 and 1869?\nAnswer: 14952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 855 and 344169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the first derivative of 528*y**5\/5 + y**2\/2 - 2068*y - 2492. What is the first derivative of w(l) wrt l?\nAnswer: 2112*l**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31209*k**2 - 70*k - 3*k**3 - 93*k + k**3.\nAnswer: -2*k**3 - 31209*k**2 - 163*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 294 is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/7, -0.09, -5\/4 in decreasing order.\nAnswer: 1\/7, -0.09, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -3*t**3 - 81*t - 353. Calculate h(-4).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -366 and 0.5?\nAnswer: 366.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3)\/84 - (4 + (-45)\/12). Suppose -j - 1 = 3*n, 3*n = 2*j + 2*n - 5. Let a be 2\/(-33)*(-3)\/1. What is the nearest to v in a, j, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -76 divided by 38.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 2*m = 41 - 125, -g - 3*m + 74 = 0. What is the highest common factor of g and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.145 take away -23583900?\nAnswer: 23583897.855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 15118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*i = -11*i - 4*d + 16, -d + 11 = 3*i. Suppose -4*f + q = -441, i*f + 3*q - 276 = 161. Is 27 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-1\/2))**(1\/6)\/((v\/((v\/(v**(-1\/3)*v*v))\/v))\/(v**(3\/4)*v)) assuming v is positive.\nAnswer: 1\/v","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -18416 - -18413. Let n(v) = 6*v**3 + 5*v**2 - 8*v + 5. Let f(s) = 7*s**3 + 6*s**2 - 9*s + 6. Determine h*f(z) + 4*n(z).\nAnswer: 3*z**3 + 2*z**2 - 5*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 245*b - 149*b - 21*b - 142*b.\nAnswer: -557*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.831 + -0.169. Let d be (55\/(-165))\/((-226)\/(-12)). Sort d, -0.2, p in ascending order.\nAnswer: p, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 775273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.339 - -0.439. What is the nearest to r in -7, -1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 191.9 + -192.3. Let z = -0.578 - -0.378. Suppose 2 = -m, 2*s + 0*m + 8 = -3*m. Sort z, o, 2\/5, s.\nAnswer: s, o, z, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-3\/4)*y*y**(2\/21))\/((y**2\/y*y*y)\/y**(-2\/15)) assuming y is positive.\nAnswer: y**(-1171\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -357909893?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -77465383*c + 18828992 wrt c?\nAnswer: -77465383","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -75*h + 462 + 484 + 73*h - 937.\nAnswer: -2*h + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3280 + -532?\nAnswer: -3822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 459 = 3*t + 9. Suppose -5*n + t = 5*w, -4*w - 1 = n - 22. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 54096.3us to minutes.\nAnswer: 0.000901605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -6 + -6ed1?\nAnswer: -6ed7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 5868 a factor of 2777811444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v + 9 = 4*t + 60, 0 = -8*v - t - 1727 + 1816 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 5*o = -3350, -8*k = -9*k - 3*o + 664. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1030738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Add 2 and 605119.23.\nAnswer: 605121.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the first derivative of -k**4\/9 - 4*k**3\/27 + 2*k**2 + 4*k + 24. Factor j(l).\nAnswer: -4*(l - 3)*(l + 1)*(l + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -4*l**3 + l**2 - l. Determine r(2).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 3 and -58.1?\nAnswer: 61.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 192 and 5224296.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00085 rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 33 - 34.7. Let j = 624.8 + -626. Let z = j - y. What is the nearest to -2 in -2\/7, 2, z?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the first derivative of -12*y**6\/5 + 6*y**5\/25 + 19*y**4\/2 + 10*y**3 + 21*y**2\/5 + 4*y\/5 - 22. What is c in o(c) = 0?\nAnswer: -1, -1\/3, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(100)\/sqrt(2)*5)\/(sqrt(10) - (sqrt(100) - -1*sqrt(100))\/sqrt(10)))**2 + -5.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-15)\/90*9\/(-30).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 25623644 (base 8) to base 14\nAnswer: a897a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 5*w - 2*w. Suppose 4*o + 3*h - 596 = 2*h, 0 = -3*o - w*h + 447. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -4*d + 5*d + 3*d**2 - 2*d**2. Let s be j(-2). Let g be (s\/2)\/((-2)\/10). Let w(k) = -k**2 - 7*k - 6. Determine w(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 3*a + 11. Let m(l) = -l**3 - l**2 - l - 2. Let y be m(a). What is d in -2*d**3 + d - 6*d + 2 + d**3 + y*d**2 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 3*m = -4*m - 12, 3*l + 2*m + 2 = 0. Suppose 0 = c - l*a - 1306, -3*a - 1820 - 3389 = -4*c. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 1, g: 2, r: 2, k: 1}. Give prob of sequence rrjk.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -131\/930020 and -117\/250390.\nAnswer: 6510140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (32\/6)\/((-1452)\/(-72) + -20). Suppose z - 1148 = -4*n, -6*z + 2*z = 3*n - 848. Calculate the greatest common factor of n and d.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3193529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 3, l: 5, d: 3, j: 6}. What is prob of sequence lp?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-72)\/(-4)*(-1)\/(-3). Suppose 0 = -2*y + 2 + 4. Solve y*j + v = j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 800 and 16.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -365, -723, -1081, -1439, -1797, -2155?\nAnswer: -2513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -583 * 23312\nAnswer: -13590896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 0 + 3*w**3 - 7*w**3 + 28*w**3 + 2*w**3 + w**3 + 0 + 0 + (3*w**2 - w**2 + 0*w**2)*(w + 0*w + w) - 4*w + 3*w**3 + 4*w.\nAnswer: 34*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 101967*a*d**2*y + 4*a*y - 8187*a + 3*y wrt d.\nAnswer: 203934*a*d*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 23?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 68361, 68244, 68127?\nAnswer: 68010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 5371964 * 1.9\nAnswer: 10206731.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 24370215 to the power of 1\/3, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 925*z**2 - 2*z - 4. Let m(u) = -2776*u**2 + 6*u + 13. Calculate 4*m(x) + 13*y(x).\nAnswer: 921*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -287 + 816. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 75 + 8?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -15 + 13 - 6*i**2 - 3*i**2 + (i + 2 + 2*i + 11*i)*(-i + 2*i + i) to the form f*i**2 + u*i + z and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -2\/709?\nAnswer: -2\/709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*n - 4*v - 109 = -265, -2*n - 18 = -2*v for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, -0.5, -2095289.1 in increasing order.\nAnswer: -2095289.1, -11, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000031514 rounded to six decimal places?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u**(2\/7)*u*u**(-2\/7))\/((u**(-2)*u)\/u)**(3\/11) assuming u is positive.\nAnswer: u**(28\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 7 divided by -6704841\nAnswer: -7\/6704841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -9*m**3 + 11*m**2 + 114*m + 5. Let b(w) = 2*w**3 - 1. Let j(a) = -5*b(a) - s(a). Find the second derivative of j(t) wrt t.\nAnswer: -6*t - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 22 + -29. Let h = 11 + z. Suppose 0 = -3*m + h*o + 140, -65 = -5*m + 4*m + 5*o. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 18558 + 762 = 0. Suppose 2*g - 10122 = 3738. Let p = n - g. What is p rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - (6 + 0\/(-1*(6 - 8))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*h**2 - 5*h**2 + h**2)*(h**2 + 6*h**3 - h**2 + (h**2 - 3*h + 3*h)*(0*h - 2*h + h)) + (-5*h**2 + 5*h**2 + h**4)*(1 - 1 - 2*h).\nAnswer: -7*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -20 - -22. Suppose 0 = -4*o + 2*t + 80, 5*t = -x*o + t + 40. Let v(j) = -3*j + 3*j - o*j**2 + 17*j**2. Let g(m) = 9*m**2. Give v(g(a)).\nAnswer: -243*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-f**2 + 4*f - 4*f)*(0 + 0 - 1)*(23 - 35 - 2*f**2 + 0*f**2).\nAnswer: -2*f**4 - 12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kpppk. What is prob of sequence pkk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 e when two letters picked without replacement from {k: 2, w: 1, e: 1, j: 6, v: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 6  (b) 2  (c) -2\/9  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -248 = -7*c + 3*c. What are the prime factors of c?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b + 4 = -4*q, 26 = -q + 20*b - 16*b for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d - 146 = -4*x, 71 = -4*d + x - 114 + 139 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 4 = 0, -2*x + 2*h = -1006 - 1168. Is x a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m*m*m**(4\/3))\/m)\/m**(-4))**(-2\/3)*((m**(-2\/7)*m)\/m*m)**(-30)*(m*m*m*m**(-2\/3))**36 assuming m is positive.\nAnswer: m**(3676\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x = 3*k + 28, -54*k = -56*k - 7*x + 4 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9572?\nAnswer: 2, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 - 3 = -y. Let w be 9*1*(-2 + y). What is the greatest common factor of w and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1547 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 0.091382 times 10.34\nAnswer: 0.94488988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1192 - 1178. Calculate the remainder when 1019 is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of (27\/(-12))\/(9\/(-48)) and (-309)\/(-412)*1\/(26\/8 + -3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 260075381089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3, -25, -61, -111, -175, -253?\nAnswer: -345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 439 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b**3 + 8*b**2 - 2*b - 11. Let n be w(-8). Let o(l) = l**2 - 5*l - 2. Let q be o(n). List the prime factors of (24\/(-15))\/(q\/10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 977464 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 + 10*u - 10*u + 49*u**2 + 166*u**2 as j*u**2 + a*u + i and give j.\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1, -181.\nAnswer: -181, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 4*l - 1 - 23 = 0, -3*g = 3*l - 24. Suppose 0 = -o + y + 120, -y = -g*o - o + 596. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that -5*m**5 + 3635*m**4 - 85385*m**3 + 724145*m**2 - 2513630*m + 2755760 = 0.\nAnswer: 2, 7, 8, 703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1333242*l - 4151593 wrt l?\nAnswer: -1333242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that -2*i**2 + 163258*i + 5716480 = 0.\nAnswer: -35, 81664","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -0.094  (b) -7.44  (c) -0.5  (d) 3  (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand m**4 + 2*m + 2*m**5 - m**4 + 0*m**5 + 2*m**5 + m**5 + (-m**4 + 0*m**4 + 0*m**4)*(4*m - 4*m - m).\nAnswer: 6*m**5 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 106 + -50. Suppose 0*p + c = 4*p. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*s + 46 = -12*s + 2*a, 0 = s - a - 7. What is the second derivative of -s*w + 4 - 9*w - 10*w + 24*w - 103*w**3 wrt w?\nAnswer: -618*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 208*b - 202. Let h be j(9). Suppose 5*d + 5*a = h, 3*a - 8*a = -4*d + 1336. What are the prime factors of d?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5707292?\nAnswer: 2, 181, 7883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2 - (1 + -3 + 0 + (-22)\/(-8)). What is the second smallest value in t, -2\/33, 92?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand i**2 - i**5 - i**2 + (4*i**2 - 4*i**2 - 2*i**2)*(302 - 302 + 9*i**3).\nAnswer: -19*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 28378 and 224?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 184*g - 367*g - 30 = -187*g - 5*y, 3*y - 18 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*a - 1 + 1)*(-10 - 5 - 2 - 15).\nAnswer: 96*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -41077636 (base 8) in base 5?\nAnswer: -4210332142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2684\/(-42) + (28\/(-21))\/((-45)\/(900\/(-280))).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 68 (base 15) to base 6.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*y - y + y)*(-1036*y - 502*y + 1962*y).\nAnswer: 848*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(16)\/sqrt(200) + (sqrt(24)*-1)\/sqrt(12) + -2 - (1 + sqrt(250)\/(sqrt(25)\/sqrt(5))).\nAnswer: -29*sqrt(2)\/5 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 79367*x**2 - 1829*x - 5 wrt x.\nAnswer: 158734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5 + 1. Let z = -2 + w. Let k = -146627 + 146627. Solve 5*c - z*c = k for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 9.5 + -13264.16872.\nAnswer: -13254.66872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 737657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 202 = 5*h + 128, 4*h = -5*u + 1795. List the prime factors of u.\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18334141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -73 + 68. Let j(b) = -b**3 - 3*b**2 + 13*b + 15. Let x be j(f). Solve h - 6*h = x for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 263 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -450c - 19cb?\nAnswer: -620a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the second derivative of 3*j**6\/10 + 27*j**2\/2 + 30*j. Find the first derivative of m(y) wrt y.\nAnswer: 36*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4*(-1)\/(-30)*12\/4.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*4*(sqrt(475)*-2 - sqrt(475) - sqrt(475))**2.\nAnswer: 60800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the second derivative of -h**5\/4 - 10*h**4\/3 - 35*h**3\/2 - 45*h**2 + 16*h + 3. Suppose p(c) = 0. What is c?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 2*n**3 + 45*n**2 + 21*n - 11. What is the remainder when 184 is divided by m(-22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*m + 38 - 34 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 216566 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 59299*m + 1 - 29654*m - 29647*m. Calculate n(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2191 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -882 divided by 63.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-46)\/(-28)*(-8370)\/(-19251).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000813475974 rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*q + 2*q + 0*q)*(-676*q - 332*q + 44710 - 390*q - 44710).\nAnswer: 2796*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m + 5*n - 2*n, m - 3*n = 0. Which is the second smallest value?  (a) -5  (b) 0.2  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1496029026 rounded to the nearest 100000?\nAnswer: -1496000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3*-45.2.\nAnswer: -13.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1.3, -0.2, 1\/5, -7?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 741*f - 160*f - 141*f - 280*f - 157*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 64746 (base 9) to base 14\nAnswer: 118b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 466 divided by 5\nAnswer: 466\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -469 - -0.5.\nAnswer: -468.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10388*o**3 + 5193*o**3 + 5194*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -13*t**2 + 2*t + 10. Let b(g) = 2*g**2 - g - 3. Let u(z) = -3*b(z) - k(z). Suppose 7 = 5*y - 3. Let h be y\/(-5) + 28\/20. Calculate u(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -533*r**3 + 6*r**2 + 6*r - 616. Let i(o) = -1067*o**3 + 13*o**2 + 13*o - 1232. Let a(c) = -6*i(c) + 13*j(c). Differentiate a(g) with respect to g.\nAnswer: -1581*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -6*b**2 + b + 1. Let c be g(-2). List the prime factors of (30\/c)\/(1\/(-5)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -2*p - 12. Calculate h(6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 + 51 = 33*o - 230. Let q = 2 - 1. Let s = q + 0. Solve 9 - s = c - 3*h, o = -4*h for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 479736, 479735, 479734?\n\"Answer: -q + 479737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:49 PM and 3:41 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-77888)\/(-9) - (-2)\/(-9). Let g = 103777\/12 - o. What is the common denominator of ((-103)\/(-2))\/(-2 - 5) and g?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 2*u - 12 = 0. Suppose -2*w - 4*x + 4 = 2*w, 4*w - 5 = -u*x. Is (-1)\/(w - -1)*-6 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*f + 2*w + w - 72, 4*f + 136 = 2*w. Let k = f - -35. Suppose 0 = -2*c - 5*a + 1717, 0 = k*c + 3*a - 185 - 1542. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (2 + -6)\/(6\/(-15))*14. Let f = g - -205. Suppose 12*t - f = 567. List the prime factors of t.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(45)*5 + sqrt(45))\/sqrt(9))**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + 4 + (sqrt(77)\/sqrt(7))**2)*-4.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 163231439 and 9422.\nAnswer: 4711","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 4 times 96.4\nAnswer: 385.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7*u**2 - 6*u**6 - 2*u**2 - u**2 wrt u.\nAnswer: -720*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a factor of 32213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (((sqrt(187) - (sqrt(187) - sqrt(187)*-2 - sqrt(187))) + sqrt(187))*5)\/sqrt(11) + -5*sqrt(85)\/sqrt(5)*2)**2.\nAnswer: -100*sqrt(17) + 1725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 549337189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-4*9\/(-12))\/((-3)\/(-201)).\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = 4*n - 2*x, -6*x + 11 = -3*n - 2*x for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes before 11:37 AM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 + 20 = -h + 2*d, -137 = 5*h + 2*d. Let w(o) = -o**2 - 8*o + 19. Let f be w(-13). Let s = h - f. List the prime factors of s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.041637 to four dps.\nAnswer: -0.0416","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2339967 to the nearest integer?\nAnswer: 1530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 63707174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 70*g = -2 + 3 - 1. Which is the nearest to 1?  (a) -9  (b) -3  (c) g  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -12*g. Let q be 12\/33*(-132)\/(-72)*-3. Let u(z) = -z. Calculate q*n(p) + 8*u(p).\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mmn when three letters picked without replacement from {m: 4, n: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve m = -q, -63416*m + 5*q = -63415*m + 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11101 - 1111111110110001?\nAnswer: -1111111110010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -136 (base 7) to base 10.\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the first derivative of -7*p**3\/3 - 7*p**2\/2 + 5. What is the second derivative of r(w) wrt w?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*f**5\/4 - 4*f**4 + 27*f**3 + 23*f**2\/2 - 101*f\/4 - 15\/2 = 0. Calculate f.\nAnswer: -5, -1, -2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 29 + -9. Suppose -6*x + 2*x = s. Let h = -31 - -27. Which is the closest to 1?  (a) x  (b) h  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 538905 a multiple of 555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 84*n + 106*n - 183*n - n**3 + 6*n**2 + 161 - 165. Let u be 29\/4 + 1\/(-4). Calculate b(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 10*m**2 - 17*m - 4. Let y(p) = -20*p**2 + 34*p + 7. Suppose 0 = -7*v + 33 - 82. Let a(i) = v*b(i) - 4*y(i). Find the second derivative of a(f) wrt f.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.4 in 30, 1\/3, -7\/8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + -2 + (1 + 1*sqrt(931) - 1*-1*sqrt(931)))**2.\nAnswer: 56*sqrt(19) + 3728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 11580053.1 to the nearest one hundred thousand.\nAnswer: 11600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 17 + -16. Which is smaller: -3\/8 or n?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 15231 + -15231. Which is smaller: 9818 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3119 is divided by 141?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-649*j**3 + 805*j**3 + 338*j**3)*(2 - 4 - 1) to the form m*j**2 + n*j**3 + l + t*j and give n.\nAnswer: -1482","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*h - 3*h + 5*h)*(-2*h + 4*h - h)*(4*h**3 + 3*h**3 - 5*h**3) + (-5*h**4 - 3*h**3 + 3*h**3)*(5*h - 4*h + 0*h) + h**5 + 4*h**5 - 3*h**5.\nAnswer: h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 5*n = -9 - 39, -3*m - 4*n = -106. Let i be 1\/(-2*(-1)\/14). Suppose i*q = 2*q + 1330. What is the greatest common divisor of m and q?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 5*b = 38 - 6, -2*t + 2*b - 14 = 0. Let v be t + 0 - (-124)\/4. Let w = -2.3 + 1.3. Is v != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*z + 16*z - i - 4334 = 0, -5*z = -5*i - 4350. Is 866 != z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -19\/20708925 and 33\/9230?\nAnswer: 538432050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 441 and 69489?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2109 - 1575.22.\nAnswer: -3684.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 6\/26 - 1058\/(-4485) - (-6)\/(-20). Let q(s) be the first derivative of 0*s**2 - 1\/3*s**3 + 0*s - x*s**6 - 16 + 1\/4*s**4 + 1\/5*s**5. Factor q(g).\nAnswer: -g**2*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 656 and 44455480?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1342 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4 + 0. Solve 0 = 5*w - g*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3*(-174651902)\/(-16614)*-1. Let v = -31537 - j. Let x = v + -130133\/13845. Calculate the common denominator of x and 30\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 42 and 34581288?\nAnswer: 34581288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6*k**6*s**3 - 558*k**3*s**3 - 1243*k**2*s**3 - 3*s**3 wrt k?\nAnswer: -720*k**3*s**3 - 3348*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -1079.1765 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5*(-8)\/(-420) - (-19)\/21.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8 - -1. Let f = -6 + s. Let r be (-114)\/15 - -4 - -4. Which is the third biggest value?  (a) -5  (b) r  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 66 + 197. List the prime factors of m.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = n**2 + 54*n - 15878. Determine u(-155).\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -100 + 33222?\nAnswer: 33122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 minutes after 3:38 AM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2185*j + 20 + 200 = -2075*j. Find d, given that 63\/4*d**4 + 3 + 15*d - 75\/2*d**3 + 15\/4*d**j = 0.\nAnswer: -1\/3, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 179*z + 189 = 158*z for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -40*f**2 + 2*f - 7. Let x(j) = -20*j**2 + j - 3. Let d(u) = 2*g(u) - 5*x(u). Let k be d(1). What are the prime factors of 710\/k - (-6)\/(-4)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 (base 5) in base 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0, -2\/3, -28\/5.\nAnswer: -28\/5, -2\/3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -252 - -261. Let m be -6*(-6)\/i + -32500004. Round m to the nearest 1000000.\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 20 = 0, -4*v + 277 = 2*w + 99. Let f be (-2 + -8)\/((-184)\/32 + 6). Let r = f + v. Solve r*z = -0*z + 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/(-20) - (-19)\/4 - 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.1 - 70.9. Let p = n - -73. What is the third smallest value in p, 2, 2.3?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 12714401 to the nearest integer?\nAnswer: 3566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-7)\/(-140)*-15)\/(22\/176))\/(4\/26).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) be the second derivative of -1\/10*r**5 + 1\/6*r**4 + 0*r**3 + 0 + 10*r + 0*r**2. Factor i(o).\nAnswer: -2*o**2*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/((-15)\/(-12)*(-4)\/10)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 22, 44, 0.13, 6 in decreasing order.\nAnswer: 44, 22, 6, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -424 + 1025?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 1, h: 2, i: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: ((-465)\/10)\/(381\/(-508))\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 20, 23, 4, -49, -148, -305?\n\"Answer: -2*i**3 + i**2 + 14*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -l + 5. Suppose q + 9 + 7 = 0. Let r be (q\/(-5) + -2)*-5. Let a be (12\/10)\/(r\/(-30)). What is d(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3731\/(-1066)*7\/((-98)\/60).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 3 = -c - 3*c, 2*q - 21 = -5*c. What is the second derivative of 5*y - 9 + 6 + 6 - 4*y - 20*y**q wrt y?\nAnswer: -120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the second derivative of -1 - 13*m - 1\/6*m**3 + 1\/6*m**2 + 1\/12*m**4 - 1\/60*m**5. Find z, given that q(z) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000443934 rounded to six dps?\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t**3 - 34*t**2 - 36*t + 1. Let u be j(-33). Let h = 159 - u. What is the remainder when h is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 15010 - 14991.899. What is f rounded to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 2 = 5*i - 51, -5*i + l + 58 = 0. Suppose 2 = x + i. Let m(f) = -f**3 - 8*f**2 + 9*f - 4. Determine m(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2 - 0. Let m = y - -3. Suppose -2*p - 18 = -m*q + 10, -2*q = 3*p + 4. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1124477 is divided by 1175.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f**4 + 59140*f**3 + 104193690*f**2 - 1650423942380*f - 3894021942712445 = 0. Calculate f.\nAnswer: -3097, 9011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5269, 5284, 5299, 5314?\nAnswer: 5329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1367\/5 + 9584\/35. Factor 9\/7*k + 0 - o*k**2.\nAnswer: -3*k*(k - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 156541769 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 85, 2\/9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 18 and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 11 - 23. Let h be (p\/14)\/((-2)\/14). Suppose -8 = -4*c, h*g - 70 = 3*g + 4*c. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24002.\nAnswer: 2, 11, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -6*q - 2. Let o(w) = 5*w + 3. Let m(t) = -2*k(t) - 3*o(t). Let h(i) = -2*i**2 + 3*i + 4. Let z be h(3). Give m(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5041 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: Let m = -29\/11 - -185\/66. Let z(f) be the second derivative of 0 + 3\/2*f**2 + 0*f**3 + 0*f**5 + 4*f + 0*f**4 + m*f**6. What is the derivative of z(p) wrt p?\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/21, -0.04404, -2?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3325 - 2030 = 51*j - 166*j - 3880 for j.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56*t + 43875 = 83*t. What is the highest common factor of t and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = -q + 22, 3*i + 2*i = -2*q + 54. Suppose -5*y = 2*r - 1 + i, -3*r + 19 = y. Suppose r = l - 3. Calculate the remainder when l is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -207, -206, -205, -204, -203?\n\"Answer: u - 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -4*v - 1. Let s be r(3). Let i = s + 36. Calculate the remainder when 90 is divided by i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 97391 and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4\/5 - 1\/5*j**2 + j.\nAnswer: -(j - 4)*(j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2*-2*357\/(-204)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4.8764 - 0.8764. Put 76, -2\/7, i, 6 in descending order.\nAnswer: 76, 6, i, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 c when two letters picked without replacement from {c: 13, a: 5}.\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 76, 138, 196, 250, 300, 346?\nAnswer: 388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44*v - 4*u - 7 = -203 - 48, 4*u - 4 = -4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 1343*w + 2 - 1381*w - 7. What is the least common multiple of y(-1) and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51*q - 2*o - 2 = 47*q, -8*o = 3*q + 27 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*m**5\/7 - 5388*m**4\/7 - 1784*m**3\/7 + 2988*m**2\/7 - 598*m\/7 = 0. Calculate m.\nAnswer: -299, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k**3\/3 + 320390*k**2\/3 - 640756*k = 0.\nAnswer: 0, 6, 160189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 95952611?\nAnswer: 95952611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -13*u - 84. Give d(0).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -175217*x - 11*x**3 + 89*x**3 - 4*x**2 + 174902*x + 102*x**3 wrt x.\nAnswer: 1080*x - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 913780 * 2.\nAnswer: 1827560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3)\/(-6) - (-7)\/(-2). Let r be 5\/g + 1 + 1. Suppose 4*u + 2 + 10 = 0. Is u bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.3, 0.5, 1\/545?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 12\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -365, 393, 1151, 1909, 2667, 3425?\n\"Answer: 758*z - 1123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -4 - (5 - 564) - 4. Suppose -12 = 554*h - z*h. Let i(n) = 3*n**2 + 2*n + 6. What is i(h)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 111272.\nAnswer: 2, 7, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -o**3 + 12*o**2 + 14*o + 1. Let x(k) = k**2 - k + 6. Let j(d) = 2*d**2 + 7. Let r(p) = 3*j(p) - 4*x(p). Let u be r(2). Is q(u) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 48651.\nAnswer: 3, 16217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5000348 to the nearest integer?\nAnswer: 2236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 30373, -1021, 2?\nAnswer: 30373","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1683 - -6062. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = g**2 + 395*g - 794. Give m(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = -2*p - 5*s, 2*s = 3*p - 0*s + 10. Let n = 3 + p. Let x = n - -4. Solve 3*y - 14 = 5*f, 2 - 20 = 3*y + x*f for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 21 - 15. Suppose j + q = 3*j. Suppose -j*f = f - 48. Solve -6 = z + z + m, -5*m - f = z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 556176?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -17 + 2 - -4 - -13\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mdumefbmmeumueb. Give prob of picking 1 b and 1 m.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 2, p: 1, q: 1, f: 3, j: 3}. Give prob of picking 1 p, 1 q, and 2 f.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cazoczcccczczzzzc. What is prob of sequence aco?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 62 is divided by 53.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 749\/5 - 151. Let q = -25 + 31. Which is the third smallest value?  (a) m  (b) 2\/7  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1683 is divided by 809.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j, 1 w, and 1 x when three letters picked without replacement from {y: 2, f: 2, j: 1, w: 2, x: 1, q: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -209, -819, -1835, -3257, -5085, -7319?\n\"Answer: -203*d**2 - d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12971.39 millilitres to litres.\nAnswer: 12.97139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-5760)\/(-110) + 8\/(-22). Calculate the highest common factor of r and 1274.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -21535, -41801, -62211, -82837, -103751, -125025, -146731, -168941?\n\"Answer: -12*v**3 - 20182*v - 1341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 2983*b + 47729. Calculate n(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by 781.\nAnswer: 2\/781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - q + 51 = -4*r, -3*q = -r - 29. Let a = r + 17. Find the third derivative of 0*s**4 - a*s**4 + 5*s**2 + 3*s**4 + 2*s**4 wrt s.\nAnswer: 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 3, 5, 175, 0.033088, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 56593165807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 27196f (base 16) in base 4?\nAnswer: 21301211233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -z**2. Let l(g) = 3*g - 1122*g**2 + 43*g**2 - 124*g**2 - 1193*g**2 - 128*g**2. Calculate l(a(y)).\nAnswer: -2524*y**4 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -474*k + 34 = -457*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1587*a - 2293*a = 5373*a - 828*a + 446525 for a.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 132012 (base 7) to base 4.\nAnswer: 12002001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2 + 20. Suppose -p + k = 6. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -18 - -20. Let r be 1 - (4*(-77)\/h - -3). What is the highest common divisor of 19 and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -27*t + 1674. Let n be l(62). What is the nearest to n in -0.5, -99, 2\/31?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.8, 5, 89, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 67.53088 millilitres?\nAnswer: 0.06753088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1094438305 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 3*h**2 - 49*h + 1 + 49*h.\nAnswer: 3*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -34\/11 - -464\/143. Put 4, h, 5\/3 in ascending order.\nAnswer: h, 5\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 405585.\nAnswer: 3, 5, 9013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -5, -60, -10 in descending order.\nAnswer: -4, -5, -10, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 34752 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 514598 + -284572601\/553. Let m = y - 2\/79. Let n = 0.61 + -0.71. Which is the second biggest value?  (a) n  (b) m  (c) -2\/13  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 10 = 4*k, 0 = -4*q - k - 0*k + 6. Solve -4*y = -q*y - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iz when two letters picked without replacement from iqauzjji.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -2*w - 78. Let l(z) = -29*z**2. Determine t(l(p)).\nAnswer: 58*p**2 - 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 2200479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 - 1 = -d + 2*q, -13 = -5*d - q. Suppose r + 4*a = d*r - 24, 5*r + 4*a = 4. Suppose 5*n - 11 = r*n. Calculate the greatest common factor of 88 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 17203420\/(-14)*(-1 + -13). Let u = v + -5004262. Let l = 6299158 - u. What is l rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 682 minutes after 7:39 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -112 - -126. Is 42\/49 - (-2522)\/w a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -31 and 1.4829?\nAnswer: -45.9699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 19 = 3. Suppose -g - z*g = -10. Calculate the remainder when 43 is divided by 1\/g*(2 + 2)*8.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -32383954, -64767907, -97151860, -129535813?\nAnswer: -161919766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.7  (b) 1\/2  (c) -14  (d) -4.7  (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*b + 450189*b**2 + 12 + 3*b + 8*b**3 - 450189*b**2.\nAnswer: 8*b**3 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 12 + 1c?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h**3 - 47*h**2 + 44*h + 91. Let c be l(46). Let a(z) be the first derivative of -z - 61. Let k(u) = -2*u - 6. What is c*k(w) + 4*a(w)?\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:02 AM and 7:16 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2.01 - 1.28. Let v = d - 2.01. What is v rounded to one decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -25837625 divided by -19.\nAnswer: 1359875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -12.6 - -13. Let u = 18 - 35\/2. What is the nearest to u in -1\/4, h, 0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 825 = 5*b + 3*z, -2*b - 1540*z = -1538*z - 326. Solve -175*s = -b*s - 56 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 3884*s - 6959. Is c(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 168829 is divided by 3148.\nAnswer: 1985","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -3*p**3 + 5*p**2 + 5*p - 1. Let d be k(5). Let c = 545 + d. Calculate the greatest common divisor of 11 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5.6 + -4.5. Let m = -82.9 + c. Let g = m - -92.99999906. Round g to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 251538\/(-359340)*(32\/7)\/(-1).\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -127557.04 rounded to the nearest ten?\nAnswer: -127560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2 + 1. Let m = -1296 + 1261. Let b = c - m. What is the remainder when b is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.286064273 rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-22233)\/(-2104724)*(-16)\/(-6).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 - 659*d**3 - 365*d**3 - 184*d**3 - 805*d**3.\nAnswer: -2013*d**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 49 divide 931?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that -c**2\/3 + 16865*c\/3 + 5622 = 0.\nAnswer: -1, 16866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d**2 - 5*d**2 - 2829 + 2837 + 2*d**2 + 7*d. Calculate i(6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 3*l = -21, -3*h + 3*l = -19 - 17. Let t be 1\/2*(h - 5). Solve 3*o - 7*q = -3*q + 3, t*o - 5 = -2*q for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 6}. What is prob of picking 4 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -7 - -6252504?\nAnswer: 62524a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dqhhqqqohhh. What is prob of sequence qhd?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -5447*m - 24952. Determine h(-4).\nAnswer: -3164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 8305 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*c + 8 = -6. Solve x = 4*j - c, -j + 1 = -2*j for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 6*i - 6 - 4*i + i**2 - 4*i - i. Let s be d(5). Suppose -s*x - 45 = -9*x. Does 8 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.019777 - 0.0379.\nAnswer: -0.057677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 669620262 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12713995, 25427990, 38141983, 50855974, 63569963?\nAnswer: 76283950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z**2 - 2*z. Let u(w) = -3*w**2 + 5*w + 1. Let f(s) = -11*j(s) - 4*u(s). Let p be f(3). Calculate the greatest common factor of 44 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 4, s: 3, k: 1, d: 2, f: 1, t: 1}. What is prob of sequence ps?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1294829 + -69058735.\nAnswer: -69058735.1294829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 5786 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - -3)*15\/(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l**2\/3 - 526*l\/3 - 23780\/3 = 0.\nAnswer: -205, -58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a**2 - a**4 - a**2)*(3 - 1 - 4) - 4*a**4 - 7*a**4 - 3*a**4 + (a**2 + a**2 - a**2)*(27*a**2 + 37*a**2 - a**2).\nAnswer: 51*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 196886225909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 2872.454ng?\nAnswer: 0.002872454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-12)\/(-16) + (-1 - 0). Suppose 708*t - 56 = 680*t. Put t, s, 0, 2\/7 in descending order.\nAnswer: t, 2\/7, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32 = 5*n + 2*f, 28 = 2089*n - 2086*n - f for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/(15*(-10)\/(-150)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 7521, 14749, 21977, 29205, 36433, 43661?\n\"Answer: 7228*p + 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -8*u**2 + 1. Give m(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9.29 + 9.49066. Let v = y + -0.2. What is v rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1490 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 321 = 4*d - 371. List the prime factors of (-1 + (4 - 2))*d.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 14 and 79456.\nAnswer: 556192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 125313241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = -5*m - 4*i + 15, m + 3*i = 12. Suppose -19 = 2*t - m*t - 5*z, 2*z - 22 = -2*t. Let b = 54 - 38. Solve 5*h - t = b for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2408 or 2425?\nAnswer: 2425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 770244 divided by -4?\nAnswer: -192561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -34.0706 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4 - 2. Suppose z - 2*z = -5. What is the closest to -0.01 in -5, c, z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 times -4667215?\nAnswer: -476055930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 35069 is divided by 661?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6679 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*g - 4*g + g**2)*(-329*g**2 + 329*g**2 + 12*g**3 + 7).\nAnswer: 12*g**5 + 7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o**3 - 5*o**2 + 12*o - 3. Let r = -62 + 67. Let k be u(r). Round k to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 67 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 5*u + 14 = 0, 3*u - 28 = -0*b - 2*b. Let g = -4 + 10. What is the remainder when b is divided by 20\/g*6\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*w**2\/3 + 46*w\/3 + 100\/3.\nAnswer: -2*(w - 25)*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 396802?\nAnswer: 2, 7, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6585.\nAnswer: 3, 5, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -99*j - 432. Let u(h) = 25*h + 96. Let d(y) = 2*l(y) + 9*u(y). Let f(n) = -3*n + 3*n - n. What is d(f(i))?\nAnswer: -27*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 2*k + 33. Let x be r(-14). Suppose -q - 24 = -x*q. Let v = 8 - q. Solve -v = -z - 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*c + 2*c. Suppose -5*s + s + 8 = c. Solve 5*m + 4*v - 13 = 0, -2*m - s = 2*m - 3*v for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -156426.6306 rounded to the nearest ten?\nAnswer: -156430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 0  (b) 44  (c) 10  (d) 51  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - 15 - -12 - (3 - -25)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 185*a**3 - 1655*a**3 + 83 + 78 + 168*a**3 - 159 to w + y*a**2 + z*a + l*a**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**3\/7 - 19878*n**2\/7 - 59652*n\/7.\nAnswer: 2*n*(n - 9942)*(n + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c**2 - 1170*c + 56943 = 0. What is c?\nAnswer: 57, 333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (32\/7)\/(-2) + 0\/(-125). Which is the fourth smallest value?  (a) -0.6  (b) o  (c) 2  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4 - -14. Suppose s = j + 6, -5*s - 4*j + 23 = 29. Let o = x + s. What is the greatest common divisor of 8 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -365*t**2 - 106*t**2 - 167*t**2 + 89*t**2.\nAnswer: -549*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q\/(q*q*q*q\/(q\/q**(-2\/47)))*q*q**(-6)\/q assuming q is positive.\nAnswer: q**(-374\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 7  (b) -1.3  (c) -8763.5  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (27\/15)\/(3\/5). Solve -6 = -3*w + f for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1068*d*i**2*w**4 + d*w**4 + 160*d*w - 3*i**2*w wrt w.\nAnswer: 12816*d*i**2*w**2 + 12*d*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 47*f + 797 - 186 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -353371362*r**3*s**2 + 5*r**2*s**2 - 53*r**2 - 8*r*s**2 + 4*s**2 + 154 wrt r.\nAnswer: -2120228172*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12 (base 15) to base 4.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -2*n + 48. Let o(h) = -h**2 - 21*h - 4. What is the remainder when o(-17) is divided by n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 11978\/1380 + (-8)\/12. Let i = s - 36\/115. What is the common denominator of 121\/12 and i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (5 - 12) + 6 + (4 - 11)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 95687, 95788, 95889, 95990, 96091, 96192?\n\"Answer: 101*h + 95586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 24548966?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**3 - 298*u**2 - 9657*u.\nAnswer: -u*(u + 37)*(u + 261)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1127, -1131, -1135?\n\"Answer: -4*n - 1123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -11*r**2 + 8*r + 6. Let w be t(-5). Let k be w\/2*(-102)\/(-33). Let h = k - -474. What is the common denominator of -65\/8 and h?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12.78 - 78491449?\nAnswer: -78491436.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 101000110110 (base 2) in base 10?\nAnswer: 2614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + (-6 + -9 - -5) + 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 159 is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 49043370 divided by -5282.\nAnswer: -9285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.8 - 2. Let g = -62703\/5 - -12541. What is the closest to g in 1\/5, z, 13\/4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(19) + (0 + sqrt(19) - sqrt(19))**2 + sqrt(133)\/(2*sqrt(7) + sqrt(7)))*-3 - (6*sqrt(228)*4)\/(sqrt(24)\/sqrt(2)*-1).\nAnswer: 3 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -42 times 3.5?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6*s**2*u*v*y + 2*s**2*u*y**2 + 2*s**2*v*y**2 + s**2*v + 3*s*u*v*y + s*u*y + 39*s*v*y**2 + 2*u*y wrt y?\nAnswer: 4*s**2*u + 4*s**2*v + 78*s*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 45 - 1. Let r = d - 43. Suppose 7*a = r + 27. What is the third smallest value in a, -0.3, -2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/q**3)\/(q*q**(-7)))**(6\/37) assuming q is positive.\nAnswer: q**(24\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.4  (b) 5  (c) 7\/3  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 803 - 797. Solve 4*w - 12 = -2*y + t, -30 = -4*y - 5*w for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4351 + -4330. What is the greatest common factor of d and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/103, -3\/5, -1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.03 + 5.03. Let p = 3 + -5. Which is the third biggest value?  (a) y  (b) 1\/11  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*k - 20 = -4*d - 3*k, 2*k + 8 = 0. What is the units digit of (3 - d) + -6 + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*a + 5 + 29 - 4. Solve 0 = 4*o + 5*t + 5, -a + 1 = 3*o + 2*t for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -6*k + 6 + 4 - 14*k + 16 wrt k.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -89164 - -89156 - (-7 - 1 - (-1 - -2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3 or 2\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Are -344\/95 and -3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5787883?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 178.3 - 164.604. Let q = 0.096 - u. Round q to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -27 at least -139\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z = 4*q - 8*q + 36, 4*q - 4*z = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 9) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -4*g**3 + 21*g**2 - 25*g + 8. Let z(r) = -6*r**3 + 32*r**2 - 38*r + 12. Let f(k) = -8*p(k) + 5*z(k). Find t, given that f(t) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) 2\/9  (c) 3  (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 23*m**2 + 25*m - 25*m to r*m + c + z*m**2 and give z.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*j - 5*z - 35, -z + 4*z + 17 = -2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + (0 - -4) + -6 + 4 + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((b\/(b\/((b*b*b**(-2\/13)*b)\/b))*b)\/b)\/(b*b*b**6*b))**(-44))**(-2\/91))**(-44) assuming b is positive.\nAnswer: b**(360096\/1183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 537, 2138, 4807, 8544, 13349?\n\"Answer: 534*b**2 - b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*p**3 - 95*p + 16*p**2 + 103*p - 5*p + 1 + (-3*p**2 + 3*p**2 + p**2)*(3*p - 2*p + 2*p) as z*p**3 + n + h*p**2 + q*p and give h.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -972, -1945, -2918, -3891?\n\"Answer: -973*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tiditwiiiuiw. What is prob of sequence iud?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -50*(2\/(-4) + 0). Let d(p) = -p**3 - 8*p**2 + 21*p + 15. Let z be d(-10). What is the greatest common factor of z and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = 4*l + 4*h, -4*l = 2*h + 8 + 20. Let t(j) = -5*j - 12. Determine t(l).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - (31 - -5) - (39 - 22)) + -3.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -31*k**3 - 20*k**2 - 3614?\nAnswer: -93*k**2 - 40*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 21435, 21422, 21385, 21312, 21191, 21010, 20757?\nAnswer: 20420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 264120182 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of 10583 and -0.034.\nAnswer: -359.822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17299 is divided by 356.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 617854.4m in micrometers?\nAnswer: 617854400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3987211?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3 + 4)*(1 - -1). Suppose -2*d + t*l + 26 = 0, -d - 3*l - 2*l + 31 = 0. Suppose -3*z + d = 4. Solve -2*a = -a - z for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3*-38*(-1)\/(-6). Let i = -13 - x. Calculate the least common multiple of 14 and i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -11\/28898 + 328642549\/115592. Let v = -2849 + w. Calculate the common denominator of v and -33\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 856314 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 88*j - 3874 + 2378 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**2 + 11*l + 10. Let i be f(-10). Suppose i*b + 2 = -b. Let j(r) = 4*r**2 + 3*r + 2. Let p be j(b). Calculate the highest common factor of p and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/(-4) - (-22022)\/31460?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -12201203 - 313?\nAnswer: -12202122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let -125*z**2 - 5995345*z + 1438890 = 0. Calculate z.\nAnswer: -47963, 6\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in fifteen quarters of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 11*w**2 + 4*w - 12. Is o(-6) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c**2 + 91*c - 1537. Let t be l(69). Let v(w) = -w**2 - 23*w - 77. What is v(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f - 2*c - 19, 5 - 1 = 2*f + c. Find h such that -4*h**2 - 6*h**f - 2*h**2 + 3*h + 4*h**4 + 3*h**5 + 3 - 2*h**4 + h**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1658*b**2*v + 23570*b**2 + 471*b*v - 20*b - v - 43 wrt b?\nAnswer: 3316*v + 47140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 597 + -618. What is the remainder when -2*o\/(-28)*376\/(-6) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.41 * 4\nAnswer: -1.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2032 + 2032 - 251*n + (n - 1 + 1)*(-3 + 1 + 0) + 0 - 6 - n + 3.\nAnswer: -254*n - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 112046 is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 368*j**2 + 2*j - 478 wrt j?\nAnswer: 736*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 174 and 899.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.7 take away -55.69?\nAnswer: 53.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 22*(-72)\/135828*-7*(-1)\/6*7?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 25 by -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 20*9\/135*-6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t**2 - 7*t + 37. What is the remainder when n(16) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -336 = 87*t - 143*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 2.1, -0.21, 46.5 in decreasing order.\nAnswer: 46.5, 2.1, -0.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12938, 35703, 68292, 110705, 162942?\nAnswer: 225003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 6273967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -30*a + 15*a + 27495. What is the remainder when (-96)\/128 - (-1)\/(12\/a) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -1 + 13*d - 23*d + 0. Let n be a(-1). Suppose -n = -3*r + 2*r. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3)\/1 + 25\/5. Suppose m*v - 3*p = 7, p + 4 - 3 = 0. Solve -i - 3*y - 8 - 1 = 0, y = -2*i + v for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:35 PM and 3:22 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 + (0 + -11 + 13 + -31 - -13)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (21 - (3 + -3))*6\/21. Is (-380)\/(-2) + y\/(-18)*-3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -20 in -4\/1245, 0.8, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 66573 and 137709?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 51743117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -14*h + 17*h - 18 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 1 = -7. Let u(q) = -q**2 + 0*q**2 - x*q + 3*q. Suppose 3*v + 10 + 8 = 0. Let p(s) = -4*s**2 + 8*s - 1. Determine v*u(z) + p(z).\nAnswer: 2*z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 27*(5 - 3)\/2. Let b = 32 - l. Suppose -5*r + b*q + 290 = 0, -r = -2*r + 4*q + 46. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wk when two letters picked without replacement from {n: 1, k: 1, w: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 56 + -52. Suppose 4*f = -3*o + 183, 5*o - 89 = -q*f + 88. Suppose 0 = -3*w - 5*w + f. Solve -2*n + w = 14 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 81\/1046 or 0.1?\nAnswer: 81\/1046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 3)*(-a - 9*a + 0*a + a + a - a + (3 + 3 - 4)*(0*a - 2*a + a))*(5*a**4 - a**4 - 2*a**4).\nAnswer: 66*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -103\/60 and -95\/281388?\nAnswer: 1406940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -31*f + 1. Let d(m) = 6*m. Calculate 11*d(z) + 2*v(z).\nAnswer: 4*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.7 from -23463762124268.\nAnswer: -23463762124268.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 366, 192, 18, -156, -330, -504?\n\"Answer: -174*c + 540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21\/462*(-1)\/2.\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 3*h. Let i(n) be the second derivative of n**6\/120 - n**3\/2 + 9*n. Let x(r) be the second derivative of i(r). Calculate a(x(f)).\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 113545256159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 18 + 8. Suppose 4*n - 29 - 5 = t, 0 = -3*n + t + o. Calculate the highest common divisor of n and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17836 = 4*p - 4*f - 16456, -5*p - 3*f + 42841 = 0. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fh when two letters picked without replacement from llfppdpldplhhkp?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 96430765?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 121.561 - -15086.\nAnswer: 15207.561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 3*s**2 - 31*s - 16. What is u(10)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1252920*d**3 - 33*d**2 - 2*d - 36181 wrt d.\nAnswer: 7517520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 5496910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11342790.\nAnswer: 2, 3, 5, 126031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 3638816 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 17*l + 173. Let u be x(-10). Let f = -652 - -1055. What is the third derivative of -4*j**5 + f*j**4 - u*j**5 + 12*j**2 - 403*j**4 wrt j?\nAnswer: -420*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 110\/(-2)*46\/(-253).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y**3 + 6*y + 1. Let q be 5 + 2*2*(-17)\/17. Let g(l) = -q + 237*l**3 - 3*l - 2*l - 2*l**2 - 238*l**3 + 2*l**2. What is 6*g(u) + 5*w(u)?\nAnswer: -u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 3*s**2. Suppose 3*y = -5*c + y - 22, 24 = -5*c - 4*y. Let t be 2 + c - (-51 - -4). Let a(q) = -45*q + 2*q**2 + t*q. Give a(l(n)).\nAnswer: 18*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 117950909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*h - 22 + 212. Determine d, given that 104\/7*d - h*d**3 - 16\/7 + 42*d**4 - 116\/7*d**2 = 0.\nAnswer: -2\/3, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3 + 12143\/4*k**2 + 3721\/4*k**4 + 3782*k**3 + 187*k = 0. Calculate k.\nAnswer: -3, -1, -2\/61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 88.82 + -12.78. What is o rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b - 7. Let v(t) = t - 6. Let y(a) = -3*h(a) + 2*v(a). Determine y(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*c + 8, -4*q + 140 + 78 = -5*c. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -129540 divided by -43180.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 122 + 16 = 3*s + 3*t, 0 = s + 2*t - 50. Suppose 606 = -39*w + s*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 814\/7 - 116. Let k = -0.29 + 0.2. Let s = -33413.1 + 33413. Put z, s, k in increasing order.\nAnswer: s, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that -2*t**5\/5 + 280*t**4 - 1116*t**3 + 1672*t**2 - 1114*t + 1392\/5 = 0.\nAnswer: 1, 696","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 584 minutes before 3:57 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -82.5 - -83.2. What is the smallest value in -0.7, y, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the third derivative of s**5\/15 + 74*s**4\/3 + 10952*s**3\/3 + 8*s**2 + 89*s. Determine r so that g(r) = 0.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3 - -59e5495?\nAnswer: 59e5492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 66066 by -2.\nAnswer: -33033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**2 + 16*h - 13. Let a be x(-17). Solve -a*z - 16 + 0 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 648897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -31 - -28.3. What is i rounded to 1 decimal place?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-45)\/((-135)\/6))\/(1\/(-3)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -5*y**2 + 3*y + 3. Let z be g(3). Calculate the smallest common multiple of ((-7)\/3 + 2)*z and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 426522071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 103*n - 24 = 100*n. Suppose n = -16*d + 24*d. Calculate the lowest common multiple of d and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-2\/3)\/x)\/x)\/(x\/((x\/(x\/(x**(5\/6)*x)))\/x))*(x\/((x*x*(x\/((x*x*x**9)\/x))\/x)\/x)*x*x)\/x**(2\/19) assuming x is positive.\nAnswer: x**(1033\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 6, t: 2, l: 5}. What is prob of sequence rtr?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h**2 - 43*h - 449. Let g be s(-22). Solve -5*y + 3*i + 1 = 13, 4*i + g = -3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3646 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g + 1. Let a(d) = -d**3 + 9*d + 2. Let b(r) = -a(r) + 5*k(r). Give b(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = z - 13. Let a(j) = j**2 - j + 2. What is the remainder when z is divided by a(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 7 and 1404878945.71.\nAnswer: 1404878952.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3.01 + 6.99. Which is the smallest value?  (a) -2  (b) y  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 312*b**5 + 10*b - 2?\nAnswer: 6240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -631628*x + 631628*x + x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 20 and 2255.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/3  (b) 87  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 times 3431058?\nAnswer: -13724232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**3 - 14*k**2 - 12*k - 11. Let b be p(-14). Solve 5 = -152*a + b*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*v - 37 = -35*v + 43 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 1514*c**2 + 362*c - 1782. List the prime factors of z(5).\nAnswer: 2, 3, 59, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = 2*v + 3. Suppose 4*z = b + 297, -v = -4*z + 5*b + 298. Let p(c) = -20*c - 15. Let t be p(-10). Calculate the greatest common divisor of z and t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 5*g**2. Let x be z(-2). Suppose 0*v - 4*v = -x. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d**2 - 12*d - 1. Let n be v(-11). Suppose 0 = -2*p - 5*z - 6, -5*p - z = -n*p + 39. What is the remainder when 18 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 30614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = w**2 - 31*w + 40. What is q(29)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 416*m + 6. Let h(d) = 5*d - 1. Give 12*h(n) + 2*v(n).\nAnswer: 892*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -d8 (base 15) in base 5?\nAnswer: -1303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 476*d - 3. Let j(b) = 379847*b - 2395. Determine 2395*i(k) - 3*j(k).\nAnswer: 479*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 240 and 56960?\nAnswer: 170880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1742?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -5*(12\/(-15) - -2). Let m be ((-9)\/1)\/(b\/8). Let a = -6 + m. 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: Let c(g) be the first derivative of 19*g**5\/20 - 5*g**4\/3 - 22*g + 17. Let i(z) be the first derivative of c(z). Find the third derivative of i(w) wrt w.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -215, -446, -701, -992, -1331, -1730, -2201, -2756?\nAnswer: -3407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 194 + -77. Calculate the highest common factor of p and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*a**2 - 4*a**2 + 6*a**2 - 48*a - 5*a**2 to the form r*a**2 + h + m*a and give m.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8337 and 129819?\nAnswer: 1191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -60.6 - -56. Let r = v + 5. Let y = 1\/20 - -1\/5. Which is the closest to y?  (a) 0.5  (b) -3  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 67*m - 555719 = 1233382. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 4, i: 10, s: 1, c: 3}. Give prob of sequence ci.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -369 less than -339924681?\nAnswer: -339924312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, 3, -9, 285.\nAnswer: -9, 3, 9, 285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3 + (-18)\/(-3) + -2 + 5. Let y(s) = -s + 3 + o - 9. Determine y(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((p - p + 2*p)*(6 - 6 + 5*p**2) - 11293*p**3 + 5462*p**3 + 5243*p**3)*(-2 + 3 - 2).\nAnswer: 578*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -15543 divided by 157?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7\/(-14)*(-10)\/((-60)\/(-33))*(-47)\/94?\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -256.2 + 170. Let i = x - -86. Let q be 25\/15 + 1 + -3. Which is the nearest to 0?  (a) q  (b) 1  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -i**3 - 4*i**2 - 7*i. Let p be z(-3). Suppose 3*x = 7*x - p. What is the greatest common divisor of x and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -11*g - 19. Suppose 5*i = -26 + 6. Let m be a(i). Let o be (0 + 1)*10 + 0. What is the greatest common divisor of o and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i**3 - 11*i + 7. Let x be o(4). Let q = x + -33. Let g be 1904 - 3\/(q\/(-8)). Round g to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d + 6. Suppose 5*x - 2*h - h - 47 = 0, 5*h = -x - 13. Suppose -x*v + 20 = -3*v. What is f(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 1, 2\/297, -53.\nAnswer: -53, -1, 2\/297, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 152*r - 150*r = -14, -3*y + r + 430 = 0. Calculate the remainder when 180 is divided by y.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 1 + 4 + 6 - 2 + 9*d. Let n(q) = 4*q + 4. Calculate -13*n(x) + 6*y(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 274 + -151. Suppose x*j - 1368 = 120*j. List the prime factors of j.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 29 - 9 - 10 - 8. Let y(d) = 5*d**2 + 1 + 2*d - 6*d**2 - 3*d. Give 2*y(t) - z(t).\nAnswer: -2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -12945 + 12946.2847. Let h = -0.2643 - u. Let f = 1.6 + h. Round f to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/o**(6\/7))\/(o\/o**(-1\/41)))\/(((o*o**(-1\/3))\/o)\/o*o*o**(-18)) assuming o is positive.\nAnswer: o**(15026\/861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -17821 - -27336. List the prime factors of w.\nAnswer: 5, 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 177 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 9*k - 10*k - 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Do 5.5 and 187 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 10, -73, -172, -293, -442, -625, -848, -1117?\n\"Answer: -g**3 - 2*g**2 - 70*g + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 = 4*t - 3. Let b be 5\/t + 1\/(-3). Suppose d - 4*o = 10, -5*d - 2*o - 3*o = 0. What is the nearest to b in 5, d, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-144)\/(-20))\/6*5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**2. Let t(w) be the first derivative of 2\/3*w**3 + 5 + 0*w**2 + 0*w. What is g(t(b))?\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1686*y + 842*y + 4*t = -849*y - 36, 7*y - 5*t + 61 = 0 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.04 + -0.03977. Round l to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 2596 = 5*s, 5*j + 0*j = 2*s - 1033. What is the highest common factor of 3 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 63812 is divided by 2363?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -10*j - 743. Let h be u(-75). Solve b + 5 = 2*g + h, 4*g - 3*b + 2 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4\/42 - 2508\/(-126). Solve -5*h - 2*d = 2*d + n, 5*d + 25 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 1, m: 1, z: 1, r: 1, g: 1}. Give prob of picking 1 g, 1 m, and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 10*u - 5*h = -70, -4*u - 48 = -2*h. Let o be (3 + -4)\/((-2)\/u). Let w(k) = 0*k - 4*k**2 + 5*k**2 + 5*k + 3. Determine w(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*l**2 - 314 + 905 - 307 - 284.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a microsecond in nanoseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.13 + 0.53. Which is the third smallest value?  (a) y  (b) 3  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1321 - -2112. What are the prime factors of b?\nAnswer: 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44899854.\nAnswer: 2, 3, 7483309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 1\/1*(10 - 7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 2145*z + 266. Let d(u) = 1070*u + 133. Let n(g) = -5*d(g) + 3*x(g). What is the derivative of n(h) wrt h?\nAnswer: 1085","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2968*l + 8935*l - 2961*l - l**3 - 2968*l.\nAnswer: -l**3 + 38*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence asr when three letters picked without replacement from {s: 5, a: 3, l: 1, f: 1, r: 1, w: 1}?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14490.\nAnswer: 2, 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*o + 7*o = 18. Which is the closest to 0.14?  (a) o  (b) 3  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3948 and 188.\nAnswer: 3948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) be the first derivative of d**4\/4 + d**2\/2 - 5. Let i(s) = 5*s**3 + 7*s**2 + 10*s + 3. Let h(x) = 4*a(x) - i(x). What is h(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3 and 252.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 4\/41059?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 239279.7077 to the nearest one thousand.\nAnswer: 239000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*(p\/(p*p*p*(p*p**(-1\/3)\/p)\/p*p))\/p*p*p)**(2\/81)*p\/p**0*p**6*p\/(p*p*p*p**(-4\/5)\/p*p)*p**(-1)*p**(2\/5)*(p**(-3)*p)\/p assuming p is positive.\nAnswer: p**(2683\/1215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -73 - -72. Let l = 26 + 21. Let i = l - 42. Which is the closest to h?  (a) 0  (b) -1\/3  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l**3 + 16*l**2 - 43*l - 144. Calculate x(-18).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 100 + -79. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 532830*j**4 - 24*j - 44 wrt j?\nAnswer: 6393960*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -27, -63, -101, -141, -183, -227, -273?\nAnswer: -321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1 + (-2 - -21) + 0. Let u = 71\/4 - x. What is the nearest to u in 1, 1\/4, 0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -1\/3, -270, 0.5, -1\/5, 1 in descending order.\nAnswer: 1, 0.5, -1\/5, -1\/3, -4, -270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (20\/(-70))\/(4\/(-14)) - -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) be the first derivative of -t**6\/120 + t**5\/20 + 5*t**4\/24 + t**3\/2 + 11*t**2\/2 - 6. Let a(m) be the second derivative of u(m). Determine a(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 71\/3 in -11, 17, 7, 6\/7, -5?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2218762.\nAnswer: 2, 7, 13, 73, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11160.\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*j - 0*j + 4*o + 1, -4*j = -2*o + 16 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -227*z + 1575. Calculate m(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**3 - 9*x**2 - 10*x. Let o be q(-8). Suppose 4*m - 4*r = o, 3*m + 3*r - 30 = -m. Let t = -15 + 26. Calculate the lowest common multiple of m and t.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (5\/(-2) + 2)\/((-2)\/10280). Let c be x\/14 + -6*2\/(-28). Suppose 2*g - 4*g = -3*z - c, 0 = 5*g + 3*z - 439. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let k(b) be the second derivative of -3\/5*b**5 + 0*b**4 - b**3 - 13*b + 0 + 0*b**2. What is the second derivative of k(s) wrt s?\nAnswer: -72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 320175642.\nAnswer: 2, 3, 41, 1301527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 37387665 divided by 15\nAnswer: 2492511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) be the third derivative of 0*n**4 + 0*n**3 + 0*n + 1\/180*n**5 + 12*n**2 + 0 - 1\/360*n**6. Let q(u) = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b**2 - 8*b - 5. Let w be x(-1). Suppose w*s - 5666 = 570. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 27 and 117406896.\nAnswer: 1056662064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -587 + 445. Let j = c + 142.07. Sort 0.1, -3, j in decreasing order.\nAnswer: 0.1, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2436 divided by 6.\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -189.7 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(-8) + 7\/4. Let x = p + 0. Suppose -4*i + 41 = 3*b, -x*b = -2*i - 2*i + 6. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-5)\/4)\/(1\/12). Let g be (-5)\/(-4)*6\/h. Which is greater: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3\/(-2)*(-72)\/27. Suppose -2*u = 3*u - 40. Suppose -n*o + u = 28. Put -2, o, -1 in descending order.\nAnswer: -1, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3.1 + 9.9. Let u = m + -13.3. Which is the second smallest value?  (a) -5  (b) u  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = 2*u - 426, -2*i - 846 - 216 = -5*u. Let j be (-6)\/(-21) - u\/7. Let m be -3*4\/j*10. Solve 2*n + 5 = -n - o, 0 = -3*n - m*o - 11 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 198547 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 2*g. Let r(p) = -44248 + 44248 - 4704*p**2. Give s(r(k)).\nAnswer: -9408*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 422 + 925.3. What is k rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the second derivative of s**6\/60 - 33*s**5\/40 + 89*s**4\/24 + 11*s**3\/4 - 45*s**2\/2 + s - 515. What is z in y(z) = 0?\nAnswer: -1, 1, 3, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -3*r. Let y(m) = -3256*m + 3 - 3263*m + 6540*m. What is l(y(n))?\nAnswer: -63*n - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0  (b) 3\/28675  (c) 3  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -3 + 0*j**2 + j**2 + j**3 + 0*j**2 + 0 + 5. Let v = -8 + 6. Let l be v\/(-4)*(-8)\/2. Give b(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -7*t - 72. Let r(g) = -2*g**3 + 4*g**2 - 12*g - 13. Is r(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -141, -6976, 39.\nAnswer: -6976, -141, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 361 + -361.59. What is the third biggest value in -0.1, l, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:38 AM and 7:01 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 2215491604 to the power of 1\/2, to the nearest integer?\nAnswer: 47069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.3  (b) 14  (c) -1  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6304 is divided by 240?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Factor -30*v**3 - 4*v**2 + 30*v + 4.\nAnswer: -2*(v - 1)*(v + 1)*(15*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 781, 777, 751, 697, 609?\n\"Answer: -y**3 - 5*y**2 + 18*y + 769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 197*w - 4242 = 191*w. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -4*l - 362. Let d(s) = s + 355. Calculate 5*d(f) + 4*m(f).\nAnswer: -11*f + 327","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from aliqaqlnaaqlnki?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6112171754 - 6112172271.9999462. Let j = 7332 + -7850. Let w = t - j. Round w to 6 dps.\nAnswer: 0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -19*d - 21. Suppose -4*k = g - 3, 4*g - 4*k = -k - 7. Let c be l(g). Put 4, c, -48 in decreasing order.\nAnswer: 4, c, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -6, -1, 4 in increasing order.\nAnswer: -6, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1 not equal to -522\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 342, 681, 1016, 1347?\nAnswer: 1674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:19 PM and 5:07 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -437.3 - -433.1. Sort -4, b, -57 in descending order.\nAnswer: -4, b, -57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = 1 + 7. Let l(z) = z**3 - 7*z**2 + 13*z - 14. Let d be l(5). What is the nearest to d in 1\/2, -0.5, n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4683001?\nAnswer: 43, 108907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -85*q**4 - 2 - 82*q**4 + q**3 + 186*q**4 + 4*q**3 - 7*q**3 + 2*q to g + c*q**3 + z*q**2 + f*q**4 + u*q and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the first derivative of z**3 - 59. Let a(n) = 3*n**2. Determine l(a(u)).\nAnswer: 27*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 10a - ab?\nAnswer: 3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (19 - (-2839)\/85)*5 is divided by ((-212)\/(3 + -1))\/(-2)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 178327.\nAnswer: 178327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-56)\/(-20)*(2 + -12). Let y = q - -47. Suppose -5*p = -114 + y. Is p a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4\/33, 0, -16, 0.18, -2\/5 in ascending order.\nAnswer: -16, -2\/5, 0, 4\/33, 0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 3*r - 27. Let b be t(14). Suppose -5*w = -2*w - b. Let m be ((-9 + -6)\/w)\/((-3)\/2). Solve m*h - 3*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 47, 107, 167, 227, 287, 347?\n\"Answer: 60*o - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r**(2\/73)*r*r)\/((r*r**(-41)*r)\/r*r))\/(r*r*r**(-17)*r*r)**(-3\/4) assuming r is positive.\nAnswer: r**(9425\/292)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-263 + 3)*12\/(-15). Suppose -4*h - 48 = -s. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the second derivative of 26*p**4\/3 + p. Let c(n) = -685*n - 170. Let w(o) = 121*o + 30. Let k(s) = 6*c(s) + 34*w(s). Give d(k(u)).\nAnswer: 1664*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 4*d + 18 = 0. What is the nearest to 1 in d, -1\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -367 + -2?\nAnswer: -371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2798795418 to the nearest integer?\nAnswer: 52904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 1137 = -2*b - 3*b, b = 3*k - 867. Let y be 45 - 16 - (-10)\/(-2). What is the highest common factor of y and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -31029.5 and 7.\nAnswer: -217206.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of j**3 + 743*j**2*z**3 + 56*j + 2*z**3 wrt j?\nAnswer: 6*j + 1486*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4684*f**3 - 3*f**2 + 3*f**2 + 4349*f**3 - 2.\nAnswer: -335*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-10124)\/12 + -2 + (-12)\/3. Let p = q + 859. Which is greater: 10 or p?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that o**2 - 144*o + 5184 = 0.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 3*u. Let o be h(1). Let w be 0*(o + (-21)\/6). Solve -6 = -5*n + 2*l + 2*l, 4*n - 4*l - 8 = w for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 497076 rounded to the nearest one thousand?\nAnswer: 497000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-7 - -34) + -28)*((-96)\/46 + 2)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 102906?\nAnswer: 2, 3, 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -146 (base 16) to base 13.\nAnswer: -1c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -j + 2*j + 5*q + 26, -q - 5 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -10001000111011111001 (base 2) to base 12\nAnswer: -230709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 49 + -25. Suppose 2*j + 27 = -2*j - 5*f, g = -3*j - 5*f. What is the tens digit of (j - -6) + 3 + 57?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dddw when four letters picked without replacement from {d: 11, w: 5}.\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 20 - 14. Let b = p - -7. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 943368672?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3*(-10)\/30*6\/((-24)\/(-68))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -18, -81, -188, -339, -534?\n\"Answer: -22*l**2 + 3*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the first derivative of 0*c**2 + 3*c - 2\/3*c**3 + 3. Let i(k) = 10*k**2 - 16. Let j(s) = -3*i(s) - 16*v(s). Let j(p) = 0. What is p?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by 4471016\nAnswer: 1\/4471016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from stttstst. Give prob of sequence tt.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 1598*h - 492171. Give b(308).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nrnr when four letters picked without replacement from rrrrrrrndpdrdrdnprr.\nAnswer: 55\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x**3 + 9*x**2 - 9*x + 4. Let c(n) = -53*n - 6. Let o be c(-1). Let h = o - 39. What is i(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*z + 0*z + 2*z)*(-95*z + 95*z + 4*z**2 - 4) to the form p*z**2 + k + n*z + s*z**3 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -312, -313, -314?\nAnswer: -315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 2, -22, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 30.3 - 32. Let x = l - -2. Put -1, -2, x in descending order.\nAnswer: x, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*r + 10*r = -32 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 3*a**3 - 2*a - 2. Let l be z(-1). Let q be 2 - (2 + ((-18)\/(-2))\/l). Solve -f + 13 = 3*v, v + q*v = 16 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/66*20*117\/(-1560)?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 1250, 1748, 2246, 2744, 3242, 3740?\n\"Answer: 498*f + 752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 444 - 743. Let f = q - -1004. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 92*i - 1465 + 111 = -66 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h + 7. Give v(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 369*f**4 - 115598*f**3 + 5*f**2 - 6*f + 468710.\nAnswer: 8856*f - 693588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(65)*1*-4 + sqrt(65) - sqrt(65) - ((sqrt(65) + sqrt(65)*-3 + sqrt(65))*1 + sqrt(65)))\/(sqrt(20)*4 + sqrt(5) + (sqrt(80)*1 - sqrt(5))).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 255 + 3*p - 127 - 2*p - 128.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 + 7)*(-4 + 4 - 3*a).\nAnswer: -15*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 7 - 2 - 6*t**2.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 1892 = -5*a, -7*w + 3*a + 3784 = -3*w. Is 86 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 623 = -58*y + 217 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (96\/(-36) + 3)*(-378)\/(-231)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 255574 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -351*n = 703*n + 2714*n + 698*n + 93786 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -m - 6. Let l be g(0). Let j = l - -11. Let d be 3 - (2 + 0)*-1. Solve j = -s + d*y, s + 2*y + 0*y - 2 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 64 + 44 + 4665*z**2 - 981*z**2 - 108.\nAnswer: 3684*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -67*n + 3*w - 19 = -65*n, 0 = 8*n + 2*w + 34 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1253*q + 2 + 2505*q - 1251*q + 31.\nAnswer: q + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*y**2 - 154*y + 152 = 0. What is y?\nAnswer: 1, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 213*q + 1. Let g = 5 + -4. Let k be b(g). Suppose -6*v + 2*v = -2*y + k, -5*y + 475 = 2*v. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 divided by 130?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 3130 divide 91267670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that -4*i**3\/5 - 31480*i**2 - 1548265088*i\/5 + 3097159808\/5 = 0.\nAnswer: -19676, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -10 - -44?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1613617721 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the first derivative of r**3\/3 + 3*r**2\/2 + 2*r - 1. Suppose 0 = -2*p - j + 3*j + 6, -3*p + 2*j = -9. Suppose -a - p = 1. What is f(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -13 - -10. Let k(u) = u + 4. Let d be k(m). Which is bigger: 0.2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 times -41\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2736.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 11*k**4 - 2*k**3 - 182*k**2 - 74*k - 65?\nAnswer: 132*k**2 - 12*k - 364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2871462283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v\/(v**11\/v*v)*v\/v**(-1\/21)*v*(v\/v**8)\/(v\/(((v\/v**(-2)*v)\/v)\/v)) assuming v is positive.\nAnswer: v**(-293\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**3\/9 + 106678*y**2\/9 - 106684*y\/3.\nAnswer: 2*y*(y - 3)*(y + 53342)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:11 PM and 12:47 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -23, 3.7, 2\/5?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.466, 1, 0.3, -4, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*c - f - 15, c - 4 = f + 2. Suppose -6*t + c = -21. What is the tens digit of t\/(15\/(-3)) + 111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, l: 1, f: 3}. Give prob of sequence lf.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -2129.8 times -0.6\nAnswer: 1277.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 37 by -21628.\nAnswer: -37\/21628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 40151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1385 + -23533\/17. Let w be 1 + (152\/(-102))\/(-4). Let c = w - g. Which is greater: -1\/4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2*(-8)\/20*((-225)\/(-12))\/3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 - 12 = 3*f. Let b = f + 12. Suppose 4*h - 25 - 67 = b. What are the prime factors of h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*v + 4*v - 11*v - 69*v.\nAnswer: -74*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 c when two letters picked without replacement from ckkkakkkkkkkk.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 101*s**2 + s + 1. Let r be h(-1). Let f be 340*1 + (2 - 1). Let m = f - r. What is m rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a + 7 = r, -3*a + 2*a + 1 = -2*r for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 6691865041163 less than 0.014?\nAnswer: -6691865041162.986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h + 13*w - 18*w = 0, 2*h = 5*w - 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (30\/40)\/(9\/(-24))*3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p**3 + 377*p**2 + 434*p**2 - 871*p**2)*(p - 4*p + p).\nAnswer: -2*p**4 + 120*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 0*l - 3*l**2 - 7*l + 6*l**2 - l**2. Let n(g) be the second derivative of g**4\/12 - g**3 - 4985*g. Give -2*i(h) + 3*n(h).\nAnswer: -h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -100, -17, 8, -4 in decreasing order.\nAnswer: 8, -4, -17, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-7 + 1)*(-4600)\/30. Let z = -6460\/7 + r. Calculate the common denominator of 89\/10 and z.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v**3 - 7*v**2 - 24*v - 34. Let i be q(-3). Which is the second biggest value?  (a) i  (b) -1  (c) -4\/7  (d) 118\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that 2*h**5\/5 + 636*h**4 + 1310274*h**3\/5 + 36307504*h**2\/5 - 15311712*h + 7787520 = 0.\nAnswer: -780, -32, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fp when two letters picked without replacement from {n: 2, p: 4, m: 2, f: 2, j: 3, q: 1}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1110101111110100 + 10110110010?\nAnswer: -1110011001000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 118*y + 294*y = 125*y - 18942 for y.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5780792432 to the power of 1\/3, to the nearest integer?\nAnswer: 1795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2*(-5)\/(10\/(-3)). Suppose z + 5 = 2*j, 3*j - 6 = m*z - z. Calculate the remainder when 24 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -10 + 17. Suppose -3*b + 2*s + 11 = -k, -3*b - 2*s = -18. Let c(y) = 13922*y**2 - 6965*y**2 - 6958*y**2 + 6 + 6*y. Calculate c(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:21 AM and 5:57 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 44941 is divided by 424?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 196 divided by -4.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(18)\/sqrt(6) + 3).\nAnswer: 4*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x**2 - 7*x + 8. Let y be z(0). Suppose 4*m - 352 = -3*u, -5*u + y = -3*u. List the prime factors of m.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.258 - 2.358. Sort h, 4, -4 in ascending order.\nAnswer: -4, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 147119 is divided by 9194?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 - 6 - 6)*(6839*v - 4012*v - 3464*v).\nAnswer: 3185*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 141 minutes before 10:23 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.07 and 0.744.\nAnswer: -0.79608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*d**3 - 8684*d**2 + 3091352*d - 15240160 = 0. Calculate d.\nAnswer: 5, 442, 1724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26662818?\nAnswer: 2, 3, 7, 13, 47, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -76 + 81 - (-8 - (8 - 39)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*t + 5*s + 33, -t - 11 - 7 = 4*s. Let r be -3 + (t + 2 - -3). Solve -3*u + 37 = -5*h, -16 = -0*u - r*u for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 234317 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 970\/(-3395) + (-9)\/(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 55 - -5\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(176)*-2)*5 - (-5 + -1*sqrt(1331) - -1*(sqrt(1331) + -2))**2.\nAnswer: -40*sqrt(11) - 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 55 divide 85358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 69646 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 79 + -75.6. Round c to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 424 - 124 = -3*s, m = -2*s + 47. Let b = -35 + m. What is the remainder when b is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 261 and 288.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l + 12. Suppose 6*x - 10 = 20. Suppose b - 2*k + 13 + 0 = 0, 2*b + 17 = -x*k. Let m be 101\/11 - (-2)\/b. Determine f(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0.01, -13\/9, 70\/23, -2\/3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (23 - 5 - (-111 - -94)) + 7 - (-1 - 10).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8766 - -7753.2. Which is bigger: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = v + 3. Let h be c(0). Suppose -3*z - 10 - 6 = -k, -h = -3*k. Let p = 5 - z. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 731*p = 29359 + 8653 for p.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 65973623 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -128631515, -128631506, -128631497, -128631488, -128631479, -128631470?\nAnswer: -128631461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 3*t**3 - 2*t**2 - 3*t. Let y(x) = x**2 - x. Determine v(n) - 3*y(n).\nAnswer: 3*n**3 - 5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 2 i when three letters picked without replacement from iiyyp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the third derivative of -11*j**6\/4 + j**5\/60 + j**4\/24 - 99*j**2. Is k(-1) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 2*x**2 - 11*x + 16. Is p(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d - 3. Let a be r(-4). Let z(h) = h + 2. Let f be z(6). Suppose 3*s = 3*o - 3, f*s = 2*o + 4*s - 6. Which is greater: a or o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u + 5*u = 10. Suppose 0 = -3*m + 8 - u. Let x be (1 - m)\/(1\/1). Which is smaller: -2 or x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h - 2*h + 5*z = -53, -4*h + z = -61. Suppose 16*a - 46 = h*a. What are the prime factors of a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -128*b**3 - 1824*b**2 - 8664*b - 13718 = 0. What is b?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - (-124)\/(-44) - (-1302)\/462.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3689 by -2.\nAnswer: 3689\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6437 = m - 242. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -28*d + 366. Calculate k(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 7*q**2 + 22*q - 98. What is the hundreds digit of f(-35)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -172830 (base 11) to base 9.\nAnswer: -446470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 5 + 2)*(67 - 70 + 3*i + 6*i).\nAnswer: 9*i - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the third derivative of x**6\/120 - 7*x**5\/60 + x**4\/4 - x**3 - 4*x**2. Suppose 0*u - 5*u = 1080. Let b be u\/(-32) - 3\/4. Give i(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.1, 1\/51, 0.03, 585, -5?\nAnswer: 585","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -2374*t + 42724. Determine h(18).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 19747260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5327367?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l = 4*o + 2*l + 107, 72115*l = 3*o + 72112*l - 48 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = -4*t - b, -2426*t - 6 = -2428*t - 4*b for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*t**4 + 322*t**2 + 740*t wrt t.\nAnswer: -36*t**2 + 644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 73 divided by -230.\nAnswer: -73\/230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 166 or 165?\nAnswer: 165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -240, -3, 4, 2, -9589, -6 in increasing order.\nAnswer: -9589, -240, -6, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*k**3 + 371195*k**2 + 899681*k wrt k.\nAnswer: -18*k + 742390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*q**3 + 0*q**3 + 2*q**3)*((-6*q - q + 4*q)*(0 + 3 + 0) - q - 36*q + 25*q).\nAnswer: -42*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 41 or -132?\nAnswer: -132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/9, -2738\/11, 0 in decreasing order.\nAnswer: 2\/9, 0, -2738\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 15 + -18?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6, 17, 74, 165, 290, 449?\nAnswer: 642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -48*h - 5. Let q(m) = -47*m. Give g(q(s)).\nAnswer: 2256*s - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1110 - -1000100010010?\nAnswer: 1000100000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*s = t - 32, 2 = -2*s + 2*s - t + 2*t for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*d = -2*p - 486, 11922*d = 11918*d + 2*p - 102 for d.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 83165 is divided by 5793.\nAnswer: 2063","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*w - 9*w + 15. Let v = w - -81. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 5*b - 31. Suppose b = -5*t - 3. Let f(v) = -3*v + 14. Let s(h) = h - 5. Let i(c) = -6*f(c) - 17*s(c). Let w(j) = -j**2 - j. What is t*w(d) - i(d)?\nAnswer: 2*d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 39 and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qpmpmllpmqmp. Give prob of picking 1 q and 2 m.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l**3 + 2*l**2 + 4*l + 1. Let g be q(3). Suppose 7 - 23 = -g*r. Solve r*i - 2 = -18 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kd when two letters picked without replacement from {q: 3, i: 1, m: 1, k: 1, d: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -16392, -16356, -16294, -16206, -16092, -15952, -15786?\n\"Answer: 13*r**2 - 3*r - 16402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 5584*s + 1. Let p be b(1). Suppose 5*y - 2045 = p. Suppose -7*q = 266 - y. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 45043?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 20275286389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 17707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 19657129*k**3 - 58937*k?\nAnswer: 117942774*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1100111000000011 - 11111?\nAnswer: -1100111000100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Convert 100111001101011110 (base 2) to base 6.\nAnswer: 3235314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 26 - 11. Suppose -204*i = -233*i. Solve i = 2*m - 5*m + 3*d + 3, 3*d = -s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0  (b) -1446  (c) -2  (d) -0.191\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 471057?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 256 = -411*m + 379*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -21220332 - 121232?\nAnswer: -22002230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 33\/9 - 1\/(15\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 6*w**3 + 2*w**2 - 2. Let z(u) = -u**3 - u**2 + u + 1. Let s(x) = -a(x) - 2*z(x). Is s(-2) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*q - 69 = -335. Let j(k) = -k**3 - 12*k**2 - 18*k - 8. What is j(q)?\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*k**3 - 3*k**3 + 17*k + 3 - 20*k)*(k - k - 2*k - k + 4 - 4 + (-3*k + k + 3*k)*(-1 + 1 + 2)).\nAnswer: -7*k**4 + 3*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y*y**0))**(-49)\/(y**(2\/5)*y**(-3\/4)))\/((y**0)**(-1))**(-13\/5) assuming y is positive.\nAnswer: y**(7\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4*c + 5*c - 2*c)*(c + 3*c**2 - c) - 4 + 4 - 2*c**3)*(-51*c - 13*c**2 + 25*c + 40*c - 2).\nAnswer: 65*c**5 - 70*c**4 + 10*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i**3\/7 + 48*i**2\/7 - 396*i\/7 = 0. Calculate i.\nAnswer: -22, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 149 - 1185?\nAnswer: -1038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.141853 to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1606 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -3719, -3, 1\/8, 4\/3, 4, 6 in decreasing order.\nAnswer: 6, 4, 4\/3, 1\/8, -3, -3719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*o + 18811 = -5158. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a**3\/17 + 66*a**2\/17 - 2*a\/17 - 66\/17 = 0.\nAnswer: -33, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wucutttttctwgccw. Give prob of sequence uw.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.859 + 0.051. Let a = 0.909518 - g. Round a to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u**2 - 95*u - 2096. Let y be d(-60). Solve -y*w = 13 - 5, -2*k + w + 12 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*t - 4*t + 0 - 2 + (0 + 0 + 2)*(2*t + 0*t - 3*t) + 0 + 0 - t)*(-2*t**4 - 2*t**4 + 2*t**4).\nAnswer: 4*t**5 + 4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 0 + -2320\nAnswer: -2320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.284 and 11899866072.\nAnswer: 11899866071.716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 61181787.\nAnswer: 3, 67, 79, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -19 - -22. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = l + 1. Let y(z) = 2*z**2 + 4*z + 1. What is 2*t(p) - y(p)?\nAnswer: -2*p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2) + (sqrt(36)\/sqrt(9))\/sqrt(2))**2 - (0 + -3*sqrt(2) + sqrt(2) + sqrt(2))**2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c**2 + 25*c + 143. Let n be l(-17). Solve 42*u = n*u - u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 108845 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by -10696.\nAnswer: 1\/10696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6.1 - -6. Let z = -4.1 - d. Let s be (-8)\/2*(-1)\/(-6). Put s, z, 5 in ascending order.\nAnswer: z, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -16, -82, -246, -556, -1060, -1806?\nAnswer: -2842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 414323354 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1031231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/24 of a decade in months?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -493571 greater than or equal to -493570?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the third derivative of -13*f**4\/24 - 2*f**3 - 15*f**2. What is the remainder when s(-6) is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 2 t when three letters picked without replacement from axzlzzt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 779489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -539*g**2 + 49*g - 49. Let l(a) = 45*a**2 - 4*a + 4. Let b(y) = -49*l(y) - 4*s(y). Let i(f) = f. Give i(b(r)).\nAnswer: -49*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**3 + 2*a**2 + 4*a - 4. Let l be v(3). Let t be l\/6 + 117\/54. Solve 3*j = -t*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -534, -1039, -1530, -2001, -2446?\n\"Answer: i**3 + i**2 - 515*i - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 208906, 208899, 208878, 208837, 208770, 208671?\n\"Answer: -r**3 - r**2 + 3*r + 208905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b - 5 - 9 = w, -2*w + 5 = -5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s + 7*s = -u - 8, -10 = -4*u + 2*s for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f + 4*p - 16 = 0, -5 - 5 = -3*f - p for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -6 + 4*z - 5*z - z**2 + 5*z. Let i(r) = -r**3 + 6*r**2 - 37*r + 79. Let t be i(3). Let j(l) = -l**2 + 2*l - 3. Determine t*j(x) + 3*d(x).\nAnswer: 2*x**2 + 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.05?  (a) -1\/9  (b) 2  (c) -4  (d) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 * 1.362\nAnswer: 0.4086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1010 = -43*k + 197 - 434 for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s**2 + 8*s - 9. Let c be w(6). Solve 12 = -2*q - 4*z, z = c*q - 4*z - 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16.93+-125\nAnswer: -108.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - 2) + 0 + -1 + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.35714 millimeters in meters?\nAnswer: 0.00235714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 i when two letters picked without replacement from sojzsyzoyoio?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6641?\nAnswer: 29, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 29153671 a multiple of 620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 41.63178 centuries in months?\nAnswer: 49958.136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, g: 3, d: 13, w: 2, x: 1}. Give prob of sequence lww.\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 32 or 2\/88897?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 23465 and 7142746?\nAnswer: 4693","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/68555 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 14*p + 198. Suppose -362*n = 479 + 3503. What is c(n)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 453919.6l?\nAnswer: 453919600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -77611 + 7764*a + 38804 + 38807 as m*a + z and give m.\nAnswer: 7764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s, 5*j + s = 6*s + 85. Solve -5*g + j = -3 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -6, 56, 226, 558, 1106?\n\"Answer: 9*d**3 - d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 44880 and 425?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mmbp when four letters picked without replacement from lrblmmlpmwlp.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from otuttzooooouu. What is prob of picking 1 u and 1 z?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 14181 - k**2 - 14181 - 2*k**2. Let n(g) be the first derivative of 86 - g**2 - 83 + 0*g**2. Give b(n(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d - 4. Let v(j) = -2*j - 5. Let h(y) = -y**3 + 28*y**2 - 26*y - 30. Let c be h(27). Determine c*q(n) + 2*v(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nvnvnnn. Give prob of picking 2 n.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -465 (base 8) to base 6.\nAnswer: -1233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -14*p - 9*p + 207. Suppose 4*j - a + 3 = 94, -4*a - 4 = -j. Let y be 63\/14*(-2 + j). What is the greatest common divisor of p and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = c**3 + 2*c**2. Let f be t(-3). Let x = f - -23. Let s be 1276\/13 - (-30)\/(-195). Calculate the greatest common divisor of s and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -15465*j**3 + 2*j**2 - j + 876 wrt j.\nAnswer: -46395*j**2 + 4*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41*m**2 - 97*m**2 + 38*m - 38*m.\nAnswer: -56*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 498878 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 1. Let m(s) = s - 3. Let y(b) = -4*c(b) - m(b). Let d be y(-4). What is the third derivative of 0*l**3 + 0*l**d + l**6 - 6*l**2 + 2*l**2 wrt l?\nAnswer: 120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -2.57 and -7.\nAnswer: -9.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -30 (base 8) to base 16.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = m - 1, -4*w = -4*m - 4. Solve 4*i - 8 = w, 3*i - 23 = -5*u - i for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 160 - 933 - 1470 + 2914*s**2 - 2917*s**2 as t + h*s + f*s**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8\/(1\/((-15)\/(-5)))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 4 + 2)*(2*p - 6*p + 2*p) - 123*p + 21*p + 5*p.\nAnswer: -91*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -536 - -1112. Suppose 12*d - y = 6*d. Does 39 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27*x**2 - 41*x**2 + 49*x**2 - 5*x**2 - 24*x**2.\nAnswer: -48*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 2*i. Let j(d) = -38515*d**2 + 2*d + 5. Give j(l(q)).\nAnswer: -154060*q**2 + 4*q + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-2)\/15 - 1679\/(-4380))*(0 - 1). Let z = 4 + -5. Which is the nearest to z?  (a) -1  (b) 5  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 312032 is divided by 16365.\nAnswer: 1097","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -679*k + 361*k + 320*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 2*k - 2. Let m = 121 + -177. Let j be (-5)\/(20\/m) + -4. Calculate the greatest common divisor of j and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 not equal to 10\/18813723?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - 5) + 7 + (6 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 3, x: 7, g: 9}. Give prob of picking 2 x.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 2, d: 10, e: 2}. Give prob of picking 2 e and 1 y.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence au when two letters picked without replacement from {u: 2, k: 4, a: 1, e: 3}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -278*k + 41 = -263*k - 4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(1715) + sqrt(1715)*-1)\/sqrt(5) + (sqrt(567)*-1)**2 + (sqrt(28)\/sqrt(4) - sqrt(7))*-6 + sqrt(7).\nAnswer: sqrt(7) + 563","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m - 5. Let g be y(4). Let t be g\/(-2) - 2\/4. Let i be (8 - 10)\/(0 + 2). Put i, t, -4 in descending order.\nAnswer: t, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -106 - -456. Let c be m\/3 + (-3)\/(-9). Let a = -571 - -584. Calculate the highest common factor of a and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 535107401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 38*s - 16. What is j(4)?\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 980\/525 + ((-6)\/(-45))\/1 + 5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:05 AM and 3:02 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10*(-11)\/605)\/(-3*(-35)\/(-105)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(432) + (sqrt(432) - (sqrt(432) - (sqrt(432) + 1))) + 3*(sqrt(432) + 2 + sqrt(432) + sqrt(432)) + (-5*(sqrt(243) - sqrt(243)*-2)*4)**2 + -5.\nAnswer: 132*sqrt(3) + 874797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l**3 - 11*l**2 - 7*l - 10. Let x be p(12). Suppose -10 = 2*b, 3*t - 5*b - 38 = x. What is the highest common factor of 14 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -808.437213 + 1.834213. Let y = -807 - m. What is y rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:42 PM and 6:37 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(104)\/sqrt(8) + 5)**2 + sqrt(13) - (sqrt(65) - (1*sqrt(65) + sqrt(65))*6)\/sqrt(5).\nAnswer: 43 + 22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 + 1. Put -0.01, v, -1\/6 in ascending order.\nAnswer: -1\/6, -0.01, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 103400000 rounded to the nearest 1000000?\nAnswer: 103000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) 72  (c) -2\/19  (d) 2\/3  (e) -24038  (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1008 and 2142?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 136 and 122944.\nAnswer: 122944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 182273 and 728?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 554.82315 days?\nAnswer: 79.26045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 5*x = g - 52, -4*g = 4*x + 72. Let o = g - -46. Suppose 963 = 5*v - o. Calculate the greatest common divisor of v and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20 (base 14) to base 2\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 170081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -293939502 to the nearest 100000.\nAnswer: -293900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v**3 + 3*v**2 - 21*v - 61. Let g be l(-4). Suppose 21*d - g*d = 70. Solve -4*k - u + d*u + 12 = 0, 3*k = 5*u + 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9 and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-663)\/29172*48\/4?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-228)\/912)\/((-4)\/(-48)))\/(-141)?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -62609, -125215, -187821, -250427, -313033?\nAnswer: -375639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5.957301 - 9774.019699. Let g = f - -9776. Let n = g - 0.023. What is the nearest to 2\/5 in 5, -2, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 20058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Are -218626 and -218628 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 2 = 23. Let h = 210 - 64. Suppose -144*y + h*y = 70. Solve -c + 4*s = 2*c + 8, 3*s - y = -t*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4392654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -11001111111010000001 (base 2) to base 6\nAnswer: -30130305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 k when two letters picked without replacement from vvvvvvkvkuuvv?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y**3 + 12*y**2 - y + 15. Let o be w(12). Suppose 2*x - o + 1 = 0. Solve f + 2 = -s - x, 2*s - 2*f + 14 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20358195 is divided by 124?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 - -1011100?\nAnswer: 1011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = -t + r, -2*t + 3*r - 6 = -0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -21\/20 less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -36, 6, 4 in ascending order.\nAnswer: -36, -4, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 712 (base 13) in base 6?\nAnswer: 5314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c - 6 + 2. Let p(z) = z**3 - z**2 - z. Let a be p(0). Suppose c*t + t + 10 = a. Sort t, -5, -4 in decreasing order.\nAnswer: t, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 27 = -1. Let m = 10 - w. Let l be -4 - (-4)\/(m\/(-316)). What is the highest common factor of 30 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1462504.6 - -1556398.5978. Let y = 93921 - j. Let v = y + -27. Round v to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 424 is divided by 205.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: ((-629)\/259 - -3) + 2\/7*-5\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3741?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = -137 + 567. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 813, 771, 729, 687, 645?\nAnswer: 603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 11625562 (base 7) in base 5?\nAnswer: 232030330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0*i + 4*i - 2*i)*(-7*i - 4 + 4) - 2*i**2 + 4*i**2 - i**2)*(2*i + 0*i + 0*i).\nAnswer: -26*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 297791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 69 and 2967.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = d**2 + d. Let p be l(2). Let n = 1006 + -999. Solve n + p = -i - 5*q, -q = -2*i + 7 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -847 + 269. Let m = -6158 - c. Round m to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 353195629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 611558 > 611548?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5350*b**4*k - 2*b**4 + 6*b**3*k - b**3 + b**2*k - 7*b**2 + 2*b*k + k - 17686 wrt b.\nAnswer: 128400*b*k - 48*b + 36*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 17*g**2 + g. Let b(f) = 5*f**2 - 10*f. Let h be b(7). Suppose 0 = 6*s - 11 - h. Calculate the remainder when s is divided by o(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*c**3 + 12*c + 14*c**3 + 22*c**3 - 31*c + 20*c.\nAnswer: 47*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -8*j**3 + 1415*j**2 + 69*j + 19220. Determine z(177).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-92)\/(-26) + (-144)\/(-312)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 1 = 23. Let q = 149 + v. Factor 66*u**4 + 112*u + 268*u**2 + q*u**4 + 28*u**5 + 292*u**3 - 59*u**4 + 16.\nAnswer: 4*(u + 1)**3*(u + 2)*(7*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 3*w**2 + 81*w + 157. Let n be r(-2). Solve 16 = -10*m - 2*v, -3*m - n*v = -5*v + 9 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -181 + 187. Let z = m + -5.9955. Round z to 4 decimal places.\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -j - 9. Let a = -35 - -67. Let f = a - 39. Give k(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 48 and 112?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 2*s = 196, 2*h + 24*s - 20*s = 192. What is the lowest common multiple of 40 and h?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34568050 is divided by 18165?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 minutes before 4:19 AM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-256)\/(-72))\/2 + (-6)\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1  (b) 1  (c) -4  (d) -2\/3  (e) -3\/64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 117262?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 44127 is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -137*a**3*g + 2*a**3 + 8246*a**2*g*i**2 + 4*a**2*i**2 - a*i - 105*a + 140 with respect to g.\nAnswer: -137*a**3 + 8246*a**2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 25, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 270567296 and 6.\nAnswer: 811701888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the first derivative of -1\/3*v**3 + 51 + 3*v**2 + 8*v. Let l be (48\/(-28))\/(2\/(-7)). What is k(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7376 is divided by 180?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 + 5 = 10*r. Let o(t) = -t - 1. Let d be o(-6). Sort r, 2, d in descending order.\nAnswer: d, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -22.34686 rounded to one decimal place?\nAnswer: -22.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -35 (base 7) to base 11.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -2592 divided by -648\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:23 AM and 8:19 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 10*x**2 + 3*x - 2. Let k be v(-2). Calculate the highest common divisor of k and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -16 - 28 - 575*t**3 + 576*t**3 + t**2 as r*t + q*t**2 + l*t**3 + a and give a.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve a = -p - 4, -2*p = 4*a - 25754 + 25772 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9832 and 11895491.\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:15 AM and 2:17 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 157652 and 1232.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:22 AM and 1:19 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5 + 2. Let u be (-6)\/(-18) + 5\/b. Is u smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 2, -4, -204, 0, -5 in increasing order.\nAnswer: -204, -5, -4, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 56 and 95488.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the first derivative of -w + 1\/2*w**2 - 3\/2*w**4 + 0*w**3 - 1. Let o(s) = 2*s + 7. Let g be o(-3). What is p(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -2*q**2 - 6*q - 3. Let n be s(-3). Let x(g) = -g**3 - 3*g**2 + 2*g + 1. Let w be x(n). Let t(m) = 4*m**2 + 9. Is t(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -65*r - 4526. Determine q(-69).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -5*a + 32. Calculate o(9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the third derivative of 38*c**9\/21 + 1871*c**5\/60 - 28*c**2. Find the third derivative of n(v) wrt v.\nAnswer: 109440*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 37\/50 and -113\/140.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-25)\/3 + 40\/(-4)*(-35)\/50.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 3 + (-16 - -10) + 13\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 38.94691ml in litres?\nAnswer: 0.03894691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49*n - 66 = 50*n. Let r = n + 153. Is r a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -202*v + 1411 + 109*v - 705 - 706 + 96*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = -5*i + 764234, 2233*q = 2238*q - 4*i - 1273711. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/9592063 and -2\/13.\nAnswer: 9592063","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/25 of a millimeter in micrometers?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1.19  (b) -1\/2  (c) 0.04  (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 27 = -d, -4 = -4*d - 3*h + 19. Suppose 6 = d*c + c. What is the remainder when c is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 46*l - 7. Is u(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*q**2 - 4*q**2 - 9*q**2 + (-470*q + 1152*q - 108*q - 929*q - 1140*q)*(-1 - q + 1).\nAnswer: 1480*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-15)\/(-4)*1608\/(-335).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m, 1 o, and 1 u when four letters picked without replacement from {o: 1, k: 1, m: 4, n: 1, u: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**33*n*n**3*n assuming n is positive.\nAnswer: n**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 948*w - 943*w - 30 = 4*h, -28*w - 4*h = -168 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the third derivative of -x**6\/540 + x**5\/270 - 5*x**2. Factor a(y).\nAnswer: -2*y**2*(y - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2201 + -22?\nAnswer: 2113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*b = 29*b + 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.4 and -23.47.\nAnswer: -9.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 3*m**3 - 6*m**2 + 3*m - 7. Let f(g) = 2*g**3 - 5*g**2 + 2*g - 6. Calculate 7*f(o) - 6*t(o).\nAnswer: -4*o**3 + o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*u**4 + 8*u**3 - 5845*u + 170856401 wrt u.\nAnswer: 8*u**3 + 24*u**2 - 5845","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0\/(2 + -4 - 1). Suppose -12 = -4*j - t*j. Suppose a = 2*v + 10, j*v + 4 = 10. Calculate the remainder when 40 is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6.7 - 2.7. Let l = 2 - 2. Which is the nearest to 0?  (a) l  (b) f  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 19 = 3*y + y, -2*m + 11 = -y. What is the remainder when 103 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4 + (-71)\/(-18))*3\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - -1)\/((-4)\/16*(-116)\/87)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4991\/68 - 333077\/4828. Let r = z - -10283\/1420. Let a = -62\/5 + r. What is the third smallest value in a, 0.1, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1680 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the second derivative of -5*v**3\/3 + 146*v**2 + 2891*v. Give d(30).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31105148 is divided by 144.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 a when two letters picked without replacement from {e: 1, b: 5, r: 4, q: 1, a: 4}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 217604394 to the power of 1\/2, to the nearest integer?\nAnswer: 14751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 457429*b**3 - b**2 + 6*b**2 - 457425*b**3 - 5*b**2.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-17)\/(374\/24)*-11.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 514 - 514 - 4*y + 6*y**2 + 2*y**2 + y**2 - 2*y**2 + (-3*y**2 + 2*y**2 - y**2)*(1 - 2 + 4).\nAnswer: y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 21\/2015332 = -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of w**6 - 59471*w**5 + 3525*w**2.\nAnswer: 120*w**3 - 3568260*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is v in -3*v**2 + 14964*v - 18660108 = 0?\nAnswer: 2494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out -964 + -976.95.\nAnswer: -1940.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7271 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j - 6. Let a be u(21). Suppose a = d - 3*i, -3*d + 2*i + 0*i = -10. Suppose 4*x = -d*x + 20. Solve 0*b + x*b - 4*l = -12, 6 = -2*b + l for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -15, -27, -47, -75?\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 3 q when four letters picked without replacement from {m: 2, z: 3, q: 5, r: 2}.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -665315 (base 7) in base 11?\nAnswer: -7aaa5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3760*y = -1129 - 17671 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/(0 - (0 - 2)). Suppose 6*t - a = 17. What is the second derivative of -13 - 9*k**5 + 13 - t*k wrt k?\nAnswer: -180*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.018 - -0.482. Which is the biggest value?  (a) r  (b) 0.03  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:15 PM and 9:58 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -w**2*y**6 + 19*w**2*y**4 + 19*w**2 - 11*y**2 wrt y.\nAnswer: -120*w**2*y**3 + 456*w**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {g: 10, o: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -58 + 59.1. Let h = n + -0.64. Let s = h + -0.4494. What is s rounded to three decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((y\/y**(-3))\/y*y)\/((((y\/((y\/(y**9\/y*y))\/y)*y)\/y)\/y)\/y))\/(y**0)**(2\/5))**38 assuming y is positive.\nAnswer: y**(-152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 6*d**2 + 5. Let f(h) = 3*h**2 + 2. Let s(k) = 7*f(k) - 3*y(k). Let u be ((-10)\/(-25))\/((-2)\/10). Let i be s(u). Round i to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1775490 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 10\/7, 15, 2\/9?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.5  (b) 0.4  (c) 0.2  (d) -11  (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:18 PM and 5:12 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -7*o - 19. Let c be x(-4). Let i be 10\/14*c\/(180\/(-8)). Let b = -5064\/11 - -460. What is the third biggest value in i, b, 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 675 and 15611175?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 28006 divided by -209\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 24*q + 892. Let t be g(-37). Solve -7*s - t*z + 12 = -11*s, 3*s + 9 = 4*z for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -8 - -17b1c4?\nAnswer: 17b1bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 5211.8 rounded to the nearest one hundred?\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i**3 - i**3 - 4*i**3)*(i + 12 - 12)*(i + 0*i + 0*i).\nAnswer: -3*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand c - c + 2*c**3 + (3*c - 5*c + 0*c)*(-4*c**2 - 4*c**2 + 3*c**2).\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) 5\/3  (b) -17  (c) 0.1  (d) 2  (e) -2  (f) -1\/3  (g) -33\/28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -10936, -5717, -498, 4721, 9940, 15159?\n\"Answer: 5219*u - 16155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-3\/8)\/l**9)**(-2\/3)\/((l**(-6)*l**(3\/5))\/((l**(-1)*l)\/((l\/(l\/l**(-8)))\/l))) assuming l is positive.\nAnswer: l**(413\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 445320036 a multiple of 1270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 - 8*n - 2)*(-3387*n**3 - 84*n**4 + 3387*n**3 - 3*n + 3*n - 2*n**4 + (-4*n + 0*n + 2*n)*(-2*n**3 + 4*n**2 - 4*n**2)).\nAnswer: 656*n**5 + 82*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -73 + 78 - -19.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(99) + (sqrt(99)*5*-3)**2 - sqrt(99)) + -2 + sqrt(396)*6.\nAnswer: 36*sqrt(11) + 22273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 506788477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -628*b - 50496 = 133*b - 18534 for b.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 12, t: 7}. Give prob of sequence ppp.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2 + 692)*110\/(-15). Let n = t + 222655\/44. Find the common denominator of n and 137\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11841 = 30*r + 192*r + 82*r + 6095 for r.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 101\/2 smaller than 52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -76*l + 118. Let j(x) = 2*x. Give j(g(b)).\nAnswer: -152*b + 236","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:39 PM and 6:39 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 37239, 37220, 37183, 37122, 37031, 36904, 36735, 36518?\nAnswer: 36247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2151.\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59 = 76*u - 17*u. Which is greater: u or 15\/47?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the second derivative of 11*t**6\/360 - 7*t**3\/6 + 3*t. Let b(r) be the second derivative of k(r). What is the units digit of b(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 15 = 21. Suppose 3*f = -5*v + 45, 0*f = 3*v - f - 13. Suppose -5*t = -s - v. Which is smaller: -0.1 or t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(209)*-5)\/sqrt(11).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 10 + 5 = 0. Let y = -40 + 44. Let t = f - y. Which is greater: t or 1\/6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26909 to the power of 1\/2, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 93 + -95. What is the closest to -1 in -3, 1\/17, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -81 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*f - 4*b - 430, -2*f + 0*f - 431 = 5*b. Let t be 4*f\/(-6) + 0. Suppose -t = -3*k + 128. What is the highest common factor of k and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 354, 358, 370, 390, 418?\nAnswer: 454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.017597593 rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (12\/(-18) + 1)\/(4\/48). Suppose -r*p = 4*s - 464, -2*p - 250 = -2*s - 38. Calculate the highest common factor of s and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.06 + -4.94. Let f = -93 - -183. Let q = 87 - f. What is the smallest value in q, 1\/3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**3\/2 - 525*y**2 + 18123*y\/2 - 8536.\nAnswer: -(y - 16)*(y - 1)*(y + 1067)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -36 + 44. Let a(p) = -2*p + 15. Let z be a(o). Which is bigger: -3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m**2 + 14*m + 50. Let w be k(-8). Suppose 4*a - 1198 = -3*j, -4*j = -7*a + w*a - 1556. What are the prime factors of j?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-75)\/(3000\/(-464)) + 30\/(-50).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 274356182 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 110, 215, 308, 383, 434, 455, 440?\nAnswer: 383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -118234565*f**3 - 4*f + 39334150 wrt f?\nAnswer: -709407390*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3 - -44?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1c6 - 4d05c0?\nAnswer: -4d0796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*a + 3*a - 84. Calculate the highest common divisor of a and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 minus -89.94341?\nAnswer: 94.94341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that -44\/7*z**3 + 2\/7*z**5 + 4\/7*z**2 + 6*z - 22\/7 + 18\/7*z**4 = 0.\nAnswer: -11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*n - 4*u + 15 + 26, 11 = -n + 4*u. Let m = -126 + 128. What is the first derivative of -x - n + m*x - x + x wrt x?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 - 2) + (-3 - -2) - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 56*p + p**3 + 9*p**2 + 7*p**2 + 0*p**2 - 209 - 12*p + 188. Does 28 divide b(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -10*q - 4 - 5*q + 6*q - q**2 + 15. Let a(z) = -z**2 + 12*z + 18. Let f be a(14). Determine b(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0231218565 rounded to 4 decimal places?\nAnswer: 0.0231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -4, 0.07, -0.1 in decreasing order.\nAnswer: 0.07, -0.1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -80, -324, -732, -1304?\nAnswer: -2040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 4142.685 kilometers?\nAnswer: 4142685000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0, 91, 10962?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0411701 to 4 dps.\nAnswer: -0.0412","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -61 at most as big as -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1938744 litres to millilitres.\nAnswer: 193.8744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2 + 135141156?\nAnswer: 135141161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 312 and 135.\nAnswer: 14040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -4*(117\/9)\/156*-24?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:56 PM and 7:23 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -288 + 262. What is the tens digit of (3 - y)\/((-7)\/(-70))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16\/84 + ((-129)\/(-21) - 6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.231 + -145.931. Let r = -141.97 - -1.97. Let m = r - x. Round m to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1776878 and 212?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 32*l**3 - 44*l**2 + 6*l - 218. Let r be q(-31). Round r to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 70 - 64. What is the closest to 2\/5 in y, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, y: 10, p: 1, i: 3}. Give prob of picking 3 y.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w*w*w**(1\/16)*w**(-5\/3))\/(w\/((w**(-1\/4)\/w)\/w)*w**(-5)))**37 assuming w is positive.\nAnswer: w**(5587\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39 = -5*t + q, -166*t - 28 = -163*t + 4*q for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3 + 86. Let y = b + -83. Find x, given that y*x + 0*x**2 + 0 - 2\/17*x**4 - 4\/17*x**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 760\/(-950) - 88\/40?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (((-4)\/(-32))\/((-3)\/6))\/((-23)\/(-92))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -5*o**2 + 2. Let j be t(-2). Let s be (j\/14 - -1)*-1. Let x = -0.416 - -0.376. Put x, s, -2 in increasing order.\nAnswer: -2, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -51 - 234. Let s be k\/(-25) - 6\/15. Let g = 13 - s. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -7*s - 8. Is f(-9) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the second derivative of -5*d - 25\/6*d**6 + 0*d**4 + 0 - 71\/2*d**2 + 0*d**3 + 0*d**5. What is the first derivative of z(o) wrt o?\nAnswer: -500*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 117, 132, 147, 162?\n\"Answer: 15*s + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - -1)*5\/(-30)*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 652 minutes before 11:08 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -8*w - 69. Let t be y(-8). Let q(l) = 2*l + 15. Let r be q(t). Solve -6*v = -r*v - 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(77) - (sqrt(77) + sqrt(77)*-1))*-6 + sqrt(77) + (sqrt(77) - (sqrt(77) - (-2*-1*sqrt(77) - sqrt(77)))))\/(sqrt(121)\/(sqrt(99)*-3 - sqrt(11))).\nAnswer: 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -211 (base 16) to base 14.\nAnswer: -29b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 10 + -5. Suppose 76 = 4*b - 3*p, -l*p - 8 - 12 = 0. Is 11 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 - (2 + -4 + 2 + -4 + (-33 - -42))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 53892203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 201315 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 820 - 756. Let k = 1238 + s. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 92?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 42367447613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 13079 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) -14\/3  (b) 6  (c) 1  (d) -3\/4  (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 5*j + 28. Calculate s(5).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -185961 or -185962?\nAnswer: -185961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 3 u when four letters picked without replacement from vodukuuuulkkdkuokk.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ddddddddddddlddddd. Give prob of picking 2 d.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x**3\/2 - 55*x**2\/2 + 295*x + 680 = 0 for x.\nAnswer: -17, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 134 divide 203144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 - 3. Let l be 0 - (9 + -1)\/q. Suppose m - 2*m + l = 0. Calculate the highest common divisor of m and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m**2 - 4*m + 28. What is o(10)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*p**2 + 6*p**2 + 20*p**2)*(-p**2 + 4*p**2 + 0*p**2) to a*p**2 + t*p**4 + c*p + k + u*p**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -2*k + 10. Let z(d) = 2*d**2 + 16*d - 14. Let a be z(-9). Suppose -a - k = -p. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f**3. Let r = 238 + -239. Suppose 4 = -12*p + 16*p. Let j(m) = 3*m**3 + 2*m + 3. Give p*j(o) + r*k(o).\nAnswer: 2*o**3 + 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16398, -16395, -16388, -16377, -16362, -16343, -16320?\nAnswer: -16293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -10*n + 1527. Let b(f) = -3*f - 137. Give z(b(v)).\nAnswer: 30*v + 2897","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-18)\/(-22)*((-357)\/(-1190) + 554\/(-1980))?\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*u**3 - u**3 - 3*u**3)*((5 - 4 + 2)*(-3 + 4 - 3) - 1 - 3 + 0) to c*u + d + f*u**3 + y*u**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1, 47, 8, 4, 1 in ascending order.\nAnswer: -5, -1, 1, 4, 8, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -3*f**3 - 23*f**2 - 23*f. Let n(c) be the second derivative of -c**5\/20 - 2*c**4\/3 - 4*c**3\/3 + 26*c. Give 6*h(o) - 17*n(o).\nAnswer: -o**3 - 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -1259 divided by -1259?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*i + 5*i + 20. Suppose -i*q + 0*q = -5. What is the derivative of 6 - 2 - 8*f**4 - q wrt f?\nAnswer: -32*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -459 + 477. Let x be 1055\/4 + (-2)\/(-8). Suppose 2*z + 0*z = 5*s - x, -5*s = z - 258. What is the remainder when s is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 4*y**2 - 4*y**2 + 3*y**2 + 3*y**2. Let u(x) = 2*x. Determine s(u(f)).\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 77938.\nAnswer: 2, 7, 19, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 212.23 - 197.571. What is s rounded to one dp?\nAnswer: 14.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 312 = -2*w + 320. Suppose 3*u = z + 7, 4*z = -2*u + 9 + 5. Solve w = -7*g - u for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 196.5 to the nearest 10.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p**2 - 4*p + 4*p)*(-189161*p - 193373*p + 390001*p).\nAnswer: -14934*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -117*u - 4. List the prime factors of g(-1).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00024225323 rounded to five decimal places?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -126*i**3 - 121*i**3 + 3*i**2 - 179*i**3 - 3*i**2 + 412*i**3.\nAnswer: -14*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1.53 + 1.73. Which is the smallest value?  (a) j  (b) -1  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -l - 0. Suppose 1 = -l*r + 51. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 2, m: 2, k: 1, u: 1, h: 2}. What is prob of picking 1 k and 1 m?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) -5  (b) 0.4  (c) -4\/7  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*2*(-40)\/(-240) + 60\/36 - -4.\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 1, m: 3, k: 12, a: 1}. Give prob of picking 1 o, 2 k, and 1 a.\nAnswer: 33\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.3  (b) -56  (c) 518\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -21 - -6. Let w = -13 - g. Solve w = -i + 7 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (-5 - -16) + (0 - (2 + -2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -2\/1721461?\nAnswer: -2\/1721461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(264)\/((-1*sqrt(77))\/sqrt(7)))\/(2*(sqrt(968) - (sqrt(968) - (sqrt(968) - -2*sqrt(968))))).\nAnswer: -sqrt(3)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.05, -0.2, -0.97 in increasing order.\nAnswer: -0.97, -0.2, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 348788 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8176 is divided by 1151.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 31925940.5 rounded to the nearest one hundred thousand?\nAnswer: 31900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m = 3*b, 0 = 5*m - 5*b + 4 + 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/(-9) - (-441)\/(-162). Let i be -1 - (2 - 2*3). Suppose -2 = i*h + 7. Are h and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d**2 + 4*d + 26. Let b be f(-4). What is the remainder when 45\/18 - 249\/b is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (288\/45)\/(-8)*(-10)\/44?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 532 - 182 = 0. Round t to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (30\/25)\/(4\/30). Suppose 5*l + 4*t - 4 - 46 = 0, -l = -3*t + i. Let g be l\/3 + -3 + 6. Solve -4*a + 15 = 3*c, 5*a - g*c - 10 = -0*c for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1629, -1884, -2305, -2886, -3621, -4504?\nAnswer: -5529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5754*h**2 - 56*h + 7*h**3 + 5754*h**2.\nAnswer: 7*h**3 - 56*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 840 = -351. Let n = -398 - l. Which is smaller: -2\/357 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*g*u**2*y + 9*g*u + 10*g*y**2 + 148*g + 6521*u**2*y**2 + 18*y wrt g?\nAnswer: 2*u**2*y + 9*u + 10*y**2 + 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 8, d: 1, e: 2, p: 2, z: 4, t: 3}. Give prob of sequence zoz.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 390, -3, 0, -5 in ascending order.\nAnswer: -5, -3, 0, 5, 390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 3843 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 9*p - 2. Let w be r(-4). Let o = 26 + w. What are the prime factors of (-172)\/o + (-2)\/6?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that -q**3 + 5*q**2 + 44*q + 60 = 0.\nAnswer: -3, -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2574 and 31248.\nAnswer: 4468464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 22824 and 4248.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Are 67 and 68 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d. Suppose -3*q + 5 = 2*g - 4, -5*g = 2*q - 6. Let l(x) = -4 + 4 - x**q - 3*x. Let r(t) = -t**2 + 9*t - 2. Let o be r(8). Determine o*a(i) + 2*l(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 + 1. Let p(z) = z**3 + 25*z**2 + 25*z + 29. Let n be p(-24). Let t be (30\/21)\/n - (-100)\/(-105). Is t < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 16\/(-30)*(-3297)\/(-628)*30\/1. Is f >= -33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4059\/738 - 2\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 18.1 + -18. Which is the nearest to 1?  (a) -4\/5  (b) n  (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.204 and 91393104029.\nAnswer: 91393104029.204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3\/9 - (-8)\/3. Suppose -5 = -m + s. Let y be 22\/8 - (-2)\/m. Solve y*j = 2*j - 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 42.09971um to meters.\nAnswer: 0.00004209971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.6758378 - -406419?\nAnswer: 406413.3241622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vccvvcvvvc. What is prob of sequence vcc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 2 + 2 - 2*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-18*v + 40*v - 17*v)*(23*v + 3*v - 11*v).\nAnswer: 75*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -44*s - 3 - 217 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34 = -3*v + 5*w, -w + 2*w = v + 8. Let q(y) = -4*y + 2. Let a be q(v). Suppose 0 = 3*b + s - a, 2*b = -4*s + 12 + 14. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -159*b + 138*b - 252 = 0 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -231*x - 54. What is w(1)?\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 78846 greater than 78846?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/19  (b) 4  (c) -2.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1107 by -46.\nAnswer: -1107\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 674 = w, -o + 173 - 10 = -3*w. Let v be (-790)\/8 + 3\/(-12). Let x = o + v. List the prime factors of x.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwwwwwwwwwwwwwwwwd. What is prob of picking 4 w?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1\/(-2)*0\/(-7). Let o = w + -4. Let h = 7 + o. Calculate the highest common factor of 2 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*w - 5*w + 244 + w**2.\nAnswer: w**2 + 244","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 12, x: 7}.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -160*m**2 + 12*m**2 - 161*m**2 + 7*m.\nAnswer: -309*m**2 + 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the third derivative of 0*d + 1\/1470*d**7 + 1\/60*d**5 + 0*d**3 - 104*d**2 - 1\/105*d**6 + 0*d**4 + 0. Determine k so that n(k) = 0.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 18 and 34.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 81210180676*p**3 - 69840757661152*p**2 + 1960621136*p - 13760.\nAnswer: 4*(p - 860)*(142487*p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6*z**3 + 2*z**3 + 0*z**3)*(5 + 2*z - 5) + z**4 - z**3 + z**3 as i + l*z**4 + g*z**3 + u*z**2 + b*z and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 11, 2\/9, -3\/20?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 3*s + 247 = -4*j, -j - 2*s = 52. Let b = -3942 + 11654\/3. Let x = j - b. Which is greater: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 1 - -11 - (-20 + (-12 - -16 - -7)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2 + 6 + -8 + 350004. Suppose -8*k = -7*k - v. What is k rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3 + 48578?\nAnswer: 4857b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4139, -15843, -35121, -61979, -96423, -138459, -188093?\nAnswer: -245331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.4 - -0.5. Let r = -39 - -178. Let u = -131 + r. What is the biggest value in -0.4, -4, u, f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 297800 and 97700.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*o = 114*o + 1137 + 709 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -13417 + 29587. Is 97 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 159004927?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4503 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 220 and 200.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 12*h*u**4 - 26*h*u**3 + 1290727*h*u**2 + 2*h*u + 2637*u**4 + 2*u**3 + 2*u**2 + 2*u wrt u?\nAnswer: 288*h*u - 156*h + 63288*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 + 3)*(0*s + 2*s + 0*s).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3 + 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1962585.\nAnswer: 3, 5, 43613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -6*q - 354. Determine p(-24).\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -y**3 + 6*y**2 + 11*y - 8. Give t(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 177 = -6*o + 3*o. Let h = o + 59. Suppose 6*l - 5*l + 930 = h. Round l to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from jjejeejs.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the first derivative of y**4\/4 + 10*y**3\/3 + 5*y**2 - 9*y - 25. Suppose -3*q - 2*q = -3*z + 31, 2*q + 13 = z. What is the tens digit of d(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1794976nm in micrometers?\nAnswer: 0.0001794976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/(-44)*38\/(-57)*2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 6\/4*(-10)\/(-3). Suppose -s*w - 8 = -23. Suppose 0 = -w*k + l + l + 1, 2*k + 3*l = 18. Calculate the remainder when 4 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -260*i - 105*i = 30*i - 1975. Solve i*d + 2337 = 2372 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*t - t. Let l = 1 - 0. Which is greater: l or t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -60, -140, -208, -258, -284, -280, -240?\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0006006727007 rounded to 5 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 2*l**2. Suppose -4*d - 7*b + 20 = -2*b, -3*d - 2*b + 8 = 0. Let x(q) be the second derivative of -1\/6*q**3 + d + 2*q + 0*q**2. Determine z(x(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = -6*k + 3*k + 250, 5*k + 4*h - 355 = 0. What is the greatest common divisor of k and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 x when two letters picked without replacement from {x: 2, m: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -3*r**2 - 16*r - 54. Let g be s(-6). Is -66 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -70*v - 106*v - 2 - 185*v + 22*v.\nAnswer: -339*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -120 - -146. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y**(9\/4)*y))\/y)\/y**(2\/15) assuming y is positive.\nAnswer: y**(-203\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -2 - 4*a + 2*a + 2. Let c(j) = -12*j + 16*j - j - 6*j. Determine t(c(b)).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g + 2. Let p be o(0). Let u(j) = -j - 1 + 4*j + j + j**p. Is u(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -25*v + 2. Calculate u(-1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the second derivative of z**8\/1008 - 5*z**2\/2 + 8*z. Let v(y) be the first derivative of c(y). Determine i so that v(i) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x**3 + 12*x**2 + 19*x + 5. Suppose 3*i = 2*m + 5 + 12, 3*i = -3. Let o be w(m). Solve 20 = -5*t + o for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -2, -5, -10, -17?\n\"Answer: -p**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 109477288?\nAnswer: 2, 47, 491, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -109 + 128. Calculate the least common multiple of 9 and d.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 2*n + 14. Let r be t(-6). Suppose r*f = 8, -3*f + 0*f = -3*v + 231. Is 15 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Factor -3*m**2 + 24*m + 27.\nAnswer: -3*(m - 9)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that 40*f**5 + 4*f**4 - 40*f**3 - 4*f**2 = 0.\nAnswer: -1, -1\/10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 707 minutes after 8:24 AM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**3 - 2*w**2 + 11*w - 60. Let y be j(4). What is the tens digit of 2*(-1 - (-8280)\/y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = q**2 + 2*q - 9. What is the lowest common multiple of v(-5) and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3401707.\nAnswer: 3401707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/(64\/30)*((-2)\/(-12))\/(1370\/19728).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3 - 1)*(-2*p + 0 - 2 + p)*(3*p + 2 - 2).\nAnswer: -3*p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 10 = -15. Suppose -56*m - 108951 + 109007 = 0. Solve 3*w = -t*v + m - 10, 2*v = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 86*a**3 + 0 - 92*a**3 + 2 to w*a**2 + i*a**3 + q*a + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 9600 or 9602?\nAnswer: 9600","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n**3 + 19*n**2 + 21*n - 14. Let u be o(20). Calculate the highest common divisor of 33 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 39*u - 34. Let a(d) = -40*d + 33. Let g(s) = 4*a(s) + 3*o(s). What is the derivative of g(p) wrt p?\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*g - 11*g + 704. Suppose 0 = -5*r + 9*r - g. Is r a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the third derivative of -d**5\/15 - d**4\/8 + 5*d**3\/6 - 118*d**2. Determine h(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 222*d**4 + 3*d**3 + 5*d - 242*d**4 - 3*d**3 wrt d?\nAnswer: -240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 45087932 divided by 4.\nAnswer: 11271983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t - 11. Let v(z) = -z**2 - 7*z - 3. Let l be v(-3). Let w be b(l). What are the prime factors of 1\/(w\/42)*-1?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1147*-0.098\nAnswer: -112.406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 227710592 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -31 + 31 + z**3 + (0*z + 3*z - 2*z)*(-2*z**2 - 2*z**2 + z**2).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) be the first derivative of -n**2\/2 - 2*n + 46. Let y(k) = k + 1. Let d(t) = 2*l(t) + 6*y(t). Let m(g) = g + 1. Give -d(v) + 2*m(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 12 = p - 0, -5*h = -3*p - 32. What is the remainder when 10 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 49 + 7*a - 82 - 6*a + 375 + 407.\nAnswer: a + 749","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1010 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 cube root of 124167 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/b**(-2\/11))**(1\/26)*b**(-1)\/b*b*b**4\/b*b*b assuming b is positive.\nAnswer: b**(89\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -30000, -35967, -41934, -47901, -53868?\nAnswer: -59835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 2*r + 15. Let k be d(18). Find the third derivative of 16*s**2 + k*s**2 - 200*s**4 + 109*s**4 + 39*s**4 wrt s.\nAnswer: -1248*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3423 - 3423.108. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*x - 6*x + 6*x**2 - 8*x.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -1030580 equal to -1030576?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8?  (a) 2  (b) 0  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/(((225\/20 + -12)*6)\/24)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2660 and 525630?\nAnswer: 19973940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 0 + -174162?\nAnswer: -174162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r - 5 + 2 - 1 + 8. Calculate b(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*r = -7*r + 3762. Are r and -172 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*o = -11*o + 55*o - 186 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -s**3 - 29*s**2 - 26*s + 62. Let f be 64\/80*(-34 + 3\/(-3)). Let l be v(f). Solve -2*a + 4 = l for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, m: 2, h: 4, v: 3, c: 4}. Give prob of sequence uv.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the third derivative of -y**6\/120 + 3*y**5\/20 + y**4\/12 - 11*y**3\/6 - 2944*y**2. Calculate j(8).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 748.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -104534, -418629, -942122, -1675013, -2617302, -3768989, -5130074?\n\"Answer: -104699*x**2 + 2*x + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(37\/(2331\/(-90)))\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (6\/(-8) - 0)\/(1\/(-8)). Suppose 9*u = 12 + k. Let w be ((4\/u)\/(-1))\/23. Is -1 not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -9?  (a) 0.072  (b) 5\/4  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 921177123 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 12.473 * -101\nAnswer: -1259.773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -5*p**2. Let n(a) be the second derivative of -a**3\/6 - 3*a**2\/2 - 2*a. Let z(k) = 2. Let y(c) = 2*n(c) + 3*z(c). What is v(y(t))?\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nuuuvunnununnu. Give prob of picking 3 n.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = -0*a + 6. Suppose 0 = -4*j + h + a*h + 108, -4 = h. Is 2\/(-6) + 752\/j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -66, -90, -166, -324, -594, -1006?\n\"Answer: -5*u**3 + 4*u**2 - u - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1030, -4257, -11852, -25999, -48882, -82685?\n\"Answer: -364*s**3 - 679*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 95 + -96. Which is bigger: c or -2\/647?\nAnswer: -2\/647","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6 - -11. Let h = -11 + p. Let u(z) = z**3 + 6*z**2 + z + 3. Determine u(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 3871, 7743, 11615, 15487, 19359, 23231?\n\"Answer: 3872*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:42 AM and 2:54 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, 6, -6, -546.\nAnswer: -546, -6, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ggutgbuusgbgbdb. What is prob of picking 1 s and 1 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o**3 + 23*o**2 - 7*o + 8. Let t be p(-4). Suppose 0 = -a - 3*z + t, 5*a + 3*z = 1250 + 1066. Calculate the greatest common divisor of 7 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n\/(n**9\/n)*n**4*((((n*n**(-6)*n)\/n)\/n)\/n)\/(n\/n**2) assuming n is positive.\nAnswer: n**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2485)\/(-56) + 1 - 3\/8. Calculate the highest common divisor of 63 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2687039?\nAnswer: 2687039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-o - o + o)*(-o - 2*o**2 + o) + 2 - 2 - o**3 + 0*o**3 - 3*o**3 - 3*o**3)*(-3*o - 2*o + 3*o) - 2 - 2*o**4 + 2 + 601*o**4 - 97*o**4 + 488*o**4.\nAnswer: 1000*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -1304*j - 10668. Calculate c(-7).\nAnswer: -1540","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 176298 (base 12) to base 13\nAnswer: 112301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + sqrt(95)\/sqrt(5)*5 + (sqrt(171) + -5)**2 + 1*sqrt(19)*-2.\nAnswer: -27*sqrt(19) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -16  (b) 2  (c) 2086\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -224*i - 68*i + 7287 = -94*i - 10929 for i.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 225 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 2*y**2 + 9*y - 13. Let x be v(-6). Suppose -3*m + r + 0*r = -22, 0 = -x*m - 4*r + 65. Factor 12*g - 5*g**3 + m*g**2 + 4*g**4 - 7*g**3 - 13*g**2.\nAnswer: 4*g*(g - 3)*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8811102 to the power of 1\/2, to the nearest integer?\nAnswer: 2968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the third derivative of -2*x**2 + 0*x**7 + 0*x**3 + 0*x**6 + 0*x + 0*x**4 + 1\/60*x**5 + 1\/112*x**8 + 0. What is the third derivative of w(h) wrt h?\nAnswer: 180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*m + 174 - 174)*(93 + 63 + 72 + 2 + 0 - 4 + (6 - 2 - 2)*(1 + 0 + 0) + 5 - 3 - 3 + 3 - 3 - 2)*(0*m + 0*m + m).\nAnswer: 2250*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -2*a**2 - 3*a + 4. Let l(n) = 6*n**2 + 9*n - 11. What is 3*l(y) + 8*w(y)?\nAnswer: 2*y**2 + 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 134 = -5*g, 4*g = 2*l + g + 138. Let u(r) = -r**2 + 2*r - 28. Let w be u(0). Let h = w - l. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**3 + c**2 - 3*c - 3. Let t be b(-1). Solve 1 = s - 2*d, -s - 5*d - 4 + 5 = t for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 34175.51 nanometers to centimeters.\nAnswer: 0.003417551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 270?  (a) 2\/2647  (b) 22  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/2)\/((168\/80)\/(-21))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 34426637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + 4 + (5 + 2 + 3*(sqrt(72) - (sqrt(72) - (-1 + sqrt(72))))*-5)**2.\nAnswer: -3960*sqrt(2) + 16686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2216 is divided by 2215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1078055186?\nAnswer: 2, 13, 181, 229081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 0.06  (b) 2  (c) -91  (d) -3  (e) -2  (f) 1\/2  (g) -2\/153\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 2*t**2 - t - 1. Let g(z) = 92*z**2 + 5*z + 5. Let v(k) = g(k) + 5*u(k). Let b(r) = r. Give b(v(m)).\nAnswer: 102*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 108*i - 108*i - 13 + 12*i**2. What is the units digit of t(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/8)\/(21\/(-12))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 4, f: 2, z: 8}. Give prob of sequence mm.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6807*d**5 - 45*d**2 - 384962*d wrt d?\nAnswer: -136140*d**3 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -364 + 212. Let x = n + 273. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 299 - 158. Suppose -6*a + 39 - n = 0. Let s = a - -20. Solve -3*z + s*r = 6, 5*z + r = -4*r - 30 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + (-12 + (-107 - (-15 + 28 + -17)) - -16)?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (-2 - 17) - (-50 + 35).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 4*s - 5. Suppose 0 = -a - 15 + 48. Let x = 35 - a. Let o(i) = -i + 1. Calculate x*c(f) + 9*o(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 k when two letters picked without replacement from {p: 2, j: 1, k: 2, a: 1, d: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 274948817\/4155 + -66173. Which is smaller: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 11, r: 1}.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*n - 3*n**3 + 4*n)*((1 + 0 + 1)*(1 + 2 + 0) + 2 + 3 + 0)*((5 - 3 + 0)*(3 - 2 - 2) - 2 + 4 - 3).\nAnswer: 99*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -39\/44 + 7\/11. Let i = 15 - 15. Let c = -11 - -8. What is the closest to 1\/4 in c, i, u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 46, 63, 92, 133, 186, 251, 328?\nAnswer: 417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(10) - (sqrt(490)*-2 - sqrt(10)))\/((1*sqrt(25))\/sqrt(5) + sqrt(5)).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**3 - 8*w**2 - 5*w + 1. Let v be s(-7). Let i = v + 17. Suppose i*h + 86 = 2*z - 88, 0 = 2*z + 3*h - 174. Is 29 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*m - 344 = -m. Let n(a) = 7*a**2 - 5*a**2 - a + 6*a**2 + 5 + a**3. Let q be n(m). Is q smaller than 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = 6*x - 108. Is 28 a factor of (92\/3)\/(12\/x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -3*y + 11. Is 5 a factor of k(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -103222113 - -313?\nAnswer: -103221200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -2*u - 2*u - 7 + 2*u. Let k(a) = 7*a + 11. Let z(m) = 8*m + 12. Let o(i) = -6*k(i) + 5*z(i). Suppose -6*d = 30 - 0. Give d*o(x) + 4*l(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1662024 and 34736.\nAnswer: 555116016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 15 - 7*i + 21 + 15 - 61 in the form v + d*i and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -709, -1399, -2087, -2773, -3457, -4139, -4819?\n\"Answer: f**2 - 693*f - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g - 3. Let k(l) be the third derivative of -l**4\/6 - 7*l**3\/3 + 3*l**2. Give -14*d(c) + 3*k(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 9\/156950 and -89\/400.\nAnswer: 1255600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 6*k**2 - 113*k - 10. Give l(23).\nAnswer: 565","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 79, 3, -9 in decreasing order.\nAnswer: 79, 3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 2*s - 4. Let t be 58\/6 - 10\/(-30). Suppose -5*v + t*v = 30. Let f be d(v). What is the greatest common divisor of f and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 164 = 3*v + v, -3*v = -4*m - 112. Suppose i = -3*z - 42, 5*i + 66 = z - 160. Let n = v - i. What are the prime factors of n?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -218734, -437475, -656216, -874957, -1093698, -1312439?\nAnswer: -1531180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 1296*i**3 - 4*i**2 - i + 4. Let n(q) = q**3 - 5*q**2 - 8*q + 8. Suppose -1 = m - 7. Let t be n(m). Let b be v(t). Round b to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 14*y. Let j(t) be the second derivative of 0*t**2 + 5\/2*t**3 - 99*t + 0. Calculate j(n(v)).\nAnswer: 210*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -448073*z + 448073*z + 4*z**2.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 59, -2 in increasing order.\nAnswer: -2, 0, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 438 is divided by 90.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 550 and 2567290?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3, 256, 187\/3, -9\/4?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 3*a + 5. Let n be q(4). Suppose 0 = -21*u + 26*u - 180. Let p = u + n. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 9\/(-12) + 9997\/(-4). What is z rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 960 and 141?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 5*b = -2900. Suppose 5*l - b = 90. Suppose 2*u + l = 3*j, 0 = -8*j + 3*j - 4*u + 279. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = w + w - 76, -4*w = -s - 146. Let r = w + -31. Let d(v) = v**3 - 5*v**2 + 10*v - 21. List the prime factors of d(r).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = q**2 + 33*q - 68. Let r be k(-35). Solve 4*w + n + 18 = 0, -4*n + r = -4*w - 6 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j**3 - 3*j**2 + 5. Let f be t(-2). Which is the nearest to 0.1?  (a) -56  (b) f  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 546 minutes before 9:51 PM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-225*b + 206*b - 87*b)*(3 + 2 - 3)*(4 - 2 - 1)*(3*b + 91 - 91).\nAnswer: -636*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 152558.\nAnswer: 2, 7, 17, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 4293553783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 47775653 is divided by 9555114?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixteenth of a gram in micrograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*y**2 + 36*y**2 - 6*y**2.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-20)\/(-8)*(0 + 2). Let w(v) = -v**2 - 14*v + 3. Let b be w(-14). Suppose -29 = -b*j + 46. Calculate the highest common factor of i and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1152 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = -0*h + 1. Let x(m) = 14*m**3 - 4*m**3 + 5*m**2 - 14340 - 6*m**3 + 14336 - 8*m**3 + 6*m. Let q(v) = v**2 + v - 1. What is h*x(o) - 4*q(o)?\nAnswer: -4*o**3 + o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 3\/5, 5.23, 1523?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 5*h + 11. Give w(-8).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 52487 is divided by 45189.\nAnswer: 7298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -25*j - 8. Suppose 2*c - 54 = -64. Let f(s) = -17*s - 5. Let r(b) = c*d(b) + 8*f(b). Let k(l) = l. Give k(r(o)).\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33401355 + 2*v**2 + 33401355.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 12450000 rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = 5*h + 21. Let f be 508\/14 - (-2)\/h. Suppose 5*a - a = f. What is the remainder when a is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*n + 30*n - 396. Solve 13*u - n = 16*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(684) + 2 + -1)**2.\nAnswer: 12*sqrt(19) + 685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 14\/1 - (4 + -3). Let b be (-2)\/(-1*(-3)\/(-6)). Suppose -b = -3*o - c, -7 = -o + 3*c + 1. Solve 8*v + 17 = 3*v - 2*n, -5*v + o*n = p for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -9 + 7. Suppose -x*i - 3*i = -5*j - 35, -2*i - 5*j + 7 = 0. Solve i = 5*o + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 300*b**2. Let t(s) = -7*s - 794 - 717 + 1511 + 0*s. What is t(a(i))?\nAnswer: -2100*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -117 + 143. What is the greatest common divisor of 39 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.007*0.0439.\nAnswer: 0.0003073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 18677*-3\nAnswer: -56031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -137, 2\/7, 0.07, -1, 3.\nAnswer: -137, -1, 0.07, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -4, -5, 0, 1684, 2.\nAnswer: -5, -4, -1, 0, 2, 1684","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 4*t**3 + t**2 + t + 1. Let n(l) = l**3 + 8*l**2 + l + 7. Let j be n(-8). Let i be (j + 3)*2\/(-4). Give v(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 7 - 7 + h + 0. Let q be (-3 - (-51)\/15)*10. Let n be j(q). Solve -2*u + n*u = -2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-438)\/(-8))\/(6\/32). Suppose -4*i + 936 = -j. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2624*l**2 + 3003*l.\nAnswer: 5248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-8)\/(-4) + (0 - -1). Suppose s = -u*s. Which is smaller: s or 0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -25.549088 to two dps.\nAnswer: -25.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = 5, -3*a - 2 - 3 = 4*b. Let u be 3\/(-2) + (-2)\/(-4). Sort u, b, -5.\nAnswer: -5, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -2*y**3 + 4*y**2 + 4*y. Let h(o) = -5*o + 0 + 3*o**3 + 15*o**2 - 20*o**2 + 0. Determine 5*g(b) + 4*h(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:24 PM and 4:02 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*h**3 - 17*h**2 - 1122*h + 1124*h + 3 + 4*h**2 + 24 to the form z*h**3 + k + a*h + s*h**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/((b**(-9)*b)\/b))\/b**(2\/11))\/(b**(-2\/9)\/b)**(-16) assuming b is positive.\nAnswer: b**(-964\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.1  (b) 1469  (c) -139\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 825193, 3300756, 7426689, 13202992?\n\"Answer: 825185*r**2 + 8*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-32969)\/32)\/(2\/(-12)). Let z = 15193 + -21372. Let w = z + d. What is the common denominator of 69\/22 and w?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 383195 is divided by 34?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 1457 = 1204. Is -262 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 t when two letters picked without replacement from {m: 1, z: 1, p: 2, i: 2, t: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 44554909 to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -276 - -275. Let o(b) = b - 1. Let s(f) = -3*f - 3. Determine a*s(n) + 3*o(n).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 719 - 701. Let l be -2 + (-3 - -6) - -3. Suppose l*o - 54 = o. Calculate the greatest common divisor of z and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17b8e4 (base 15) in base 4?\nAnswer: 10121131321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12957, -12506, -12021, -11484, -10877, -10182, -9381, -8456?\nAnswer: -7389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 8348733 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = -5*o + 54570, -16*p = -17*p + 4*o + 10934. What is the ten thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11267 is divided by 262.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1 - -7. Find the first derivative of -4*y**4 - u + 9 + 0 wrt y.\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 380 + 1167 = 13*n. What is the remainder when n is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u - 34 + 31 = 0, 2*m + 11*u = -1 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 23 divided by 8896504\nAnswer: 23\/8896504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the second derivative of c**6\/6 + 5*c**2\/2 + 5*c. What is the first derivative of b(l) wrt l?\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) 1\/6  (b) -1\/5  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -577 = -3*n + j + 49, n = j + 210. Let b be 4\/(-2) + 13\/(n\/36). Let 1\/8*u**5 + 0 + 1\/8*u + 0*u**2 - b*u**3 + 0*u**4 = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -3*n**2. Let q(o) be the second derivative of -65*o**4\/12 + 262*o. Give d(q(m)).\nAnswer: -12675*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -9581, -9608, -9637, -9668, -9701, -9736?\n\"Answer: -g**2 - 24*g - 9556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 271, 670, 1049, 1408, 1747, 2066, 2365?\n\"Answer: -10*y**2 + 429*y - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.688909889 rounded to 2 dps?\nAnswer: -0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 + 2 + 3*h + 940*h + 35*h - 348*h + 4.\nAnswer: 630*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 141634, 283792, 425950, 568108, 710266?\nAnswer: 852424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the second derivative of -7*f**5\/20 - f**2 + 6*f. Differentiate h(m) wrt m.\nAnswer: -21*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -30.931 - 0.069. Let b = -33 - c. Let x = -5.6 - -6. Which is smaller: b or x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 500285789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 284812080 a multiple of 560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 3 + 6*s + 13 - 2*s**2 - 11. What is w(5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 690 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -3*r - 1. Let j be 26\/6 + (-10)\/(-15). Suppose g = w + 80, 2*w = -j*g + 4*g + 68. Let x be g\/(-114)*2*(1 + -4). Determine l(x).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3233 + -3229 - (-19 - -1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p. Let l be b(3). Is 7\/2 at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5725781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -163\/12 - -57\/4. Let b = 3 - 2. What is the closest to 0.2 in -3, b, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - q + 73 = 0, 2*b = 3*q + 31 + 5. Suppose 1340 = 62*r - 52*r. Calculate the remainder when r is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6 divided by -171\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -23695530 or -23695529?\nAnswer: -23695530","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.3 and 18.\nAnswer: 23.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 2 + -2 - (-4 - 0 - -3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 101 divide 39462302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one fifths of a micrometer in nanometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 18155 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -58*l + 50209 = 16975. Is l <= 573?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**2 + 9*n + 12. Let d be h(6). What is the highest common divisor of 390 and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = 1302 - 5946. Suppose -5*q + 4599 + j = 0. Let d = q - 761. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 19192 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*(h\/(h*h*h*h*h*h\/h**(1\/4)*h))\/h*h)**14\/(((h\/(h*h**3))\/h)\/h**(-14\/9)) assuming h is positive.\nAnswer: h**(-1153\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve l + 0*p - 12 = 5*p, 4*p = -5*l + 74 - 72 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 9348945 to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, 3169, -5, 3.\nAnswer: -11, -5, 3, 3169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1060 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 15649 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s**2 - 240*s - 7200 = 0 for s.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 54 by -3.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*n - 93 + 138. Find the second derivative of -1 - n*w**2 - 71*w**2 - 1 + 398*w**2 + 15*w - 163*w**2 wrt w.\nAnswer: 310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(52) + -3*sqrt(104)\/sqrt(2))\/(sqrt(16)*1 + sqrt(4)))**2 + (-2*sqrt(13)*2 + -1)**2 + 1.\nAnswer: 8*sqrt(13) + 1942\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/(441\/111 - 4). Let l(m) = 23*m + 18*m - s*m. Let x(o) = -6*o**2. What is x(l(g))?\nAnswer: -96*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3 - 0. Suppose -31*z = -33*z + 8, r = -2*z - 16. Let s be 0 + -2 + 33 + r. Solve -s = -i*f + 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(2\/7)\/(b**(-3\/7)\/b))**(-2\/33) assuming b is positive.\nAnswer: b**(-8\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*-1*sqrt(3)*3.\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.18 - -52.32. Let u = 55 - f. Let s = u - 2.006. What is s rounded to 2 dps?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 10.8228 and -3.\nAnswer: 7.8228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at most as big as -318486?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2 + 121. Let m = b + -124. Which is greater: m or 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 8*t**3 - 4*t**2 + t - 2. Let u be g(3). Suppose -5*h - u = -491. What is h rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -423727  (b) -0.1  (c) 6  (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0 + -2)*-1 + 2\/(-10). Sort 4, o, -4, 1 in ascending order.\nAnswer: -4, 1, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.095894 and -68591?\nAnswer: 68590.904106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.31, 5, -4\/7 in ascending order.\nAnswer: -4\/7, -0.31, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2.743 + 2.746152. What is d rounded to 5 dps?\nAnswer: 0.00315","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9197592.\nAnswer: 2, 3, 409, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:58 AM and 9:04 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -58 + -203. Let f = a + 261.0123. What is f rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 22238451 to the nearest integer?\nAnswer: 4716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 935246.3 millilitres?\nAnswer: 935.2463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:29 AM and 5:51 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(49)\/sqrt(63)*6.\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 13 = -10*r + 14*r, -5*r + 3*i = 25. Let m(b) = 3*b**2 + 2*b + 2. Give m(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 225 = 5*f + 5*j, 0 = -3*f + 3*j - 8*j + 127. Suppose 0 = -3*v - m - 532, -3*m = -1 - 5. Let z = -128 - v. Which is smaller: z or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.12363664 rounded to three decimal places?\nAnswer: 0.124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j + 523476 = -3*j. Let t = j + 115492. What is t rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = -12 - 12. Let v = n + -2. Let p(x) = -x**2 + 6*x + 2. What is the smallest common multiple of p(6) and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/(-3)*(-27 + (-855)\/228).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 2 + 3*d + 3 - 4*d. Let u(h) = h**3 + 6*h**2 + 3. Let y be u(-6). List the prime factors of m(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -76\/81 and 17\/114901335.\nAnswer: 114901335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 16893, -4, 363?\nAnswer: 363","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -606 divided by -303?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a century in years?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 148795459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0 + (-1 - 0) + 43. Suppose -3*r + 89 = 5*a, -2*a + 0*r + 2*r + n = 0. Let o = -1 + a. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -98 + 904. Suppose -5*i + 564 = -m. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -28732 - -28760. Calculate the remainder when 53 is divided by r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Solve -4*k + 13 - 21 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange q + 6*q + 0*q to the form u*q + a and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*k - 29*k + 4*l + 24 = 0, 5*k + 3*l = 34 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(140)\/(sqrt(5) + (sqrt(5) - (sqrt(5) + sqrt(40)\/sqrt(8)*-1))) + (((sqrt(28) + -1)*-6)**2 - 4*-3*sqrt(28)) + 0.\nAnswer: -119*sqrt(7) + 1044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -10 at most -65\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1724785 - 15*q**3 + 22*q**2 + 1724785.\nAnswer: -15*q**3 + 22*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -1030*w**3 + 1 + 1031*w**3 - 5 + 2 + 2*w + 1069*w**2 in the form m + z*w**3 + r*w**2 + h*w and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1354, 2704, 4052, 5398?\n\"Answer: -o**2 + 1353*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 37447 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 841*j + 5805 + 4739 - 10546.\nAnswer: 841*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t + 4*x = 11, 5*x = 491*t - 490*t - 2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(117) + (sqrt(117)*-1 + sqrt(117))*1 + sqrt(117))\/(2*(sqrt(27)\/sqrt(3) + sqrt(9))) - (-4 + 0 + sqrt(325) - (0 + 2*sqrt(325))))*2)**2.\nAnswer: 176*sqrt(13) + 1637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 1\/2, 199, -1, 50, -5\/4, 6\/13?\nAnswer: 199","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10 + -100111?\nAnswer: -101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*g**5*u - 27358*g**5 + 27*g**2*u + 135*g**2 + g*u - 5*g + 1 wrt g.\nAnswer: 240*g**2*u - 1641480*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 0 + 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u**3 - 8*u**2 - u - 3. Let v be p(-8). Suppose -v*d - n = -400, 113 = 3*d - n - 119. Suppose o = 4*o - 2*y - d, 0 = -y - 5. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -213*b + 216*b = 219. What is the remainder when b is divided by 22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1054908 times 0.47\nAnswer: -495806.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, -2\/17, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3174 or 3173?\nAnswer: 3173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 8, a: 2, w: 8}. Give prob of sequence ww.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tlttxxllnlddjlxddl. Give prob of picking 1 j, 1 l, and 1 n.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -1241169, -2482337, -3723495, -4964637, -6205757, -7446849, -8687907, -9928925?\n\"Answer: u**3 - u**2 - 1241172*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = r - 10 + 5, -15 = -3*r. Let b be (h - (-476)\/665) + (-4)\/10. Are b and -2\/23 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*a**5 - 4*a**5 + 4*a**5 + (-a**4 + 2 - 2)*(5*a - a - 5*a) + (2*a**3 - 2*a**3 - 2*a**4)*(-379 + 379 - 174*a) + (-a**4 + 3*a**4 + 0*a**4)*(-3 - 2*a + 3).\nAnswer: 341*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-24)\/(-10) - (-15)\/25. Suppose -b*o = -12, -3*t = -o - 52 - 34. Is t a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 171\/6 + 35\/(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3636178 divided by 26\nAnswer: 139853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7 + -1.04.\nAnswer: -8.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 21074 + -25126. Which is bigger: k or -4050?\nAnswer: -4050","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k\/(k**(1\/9)*k))\/(k*k*k\/k**6))**41 assuming k is positive.\nAnswer: k**(1435\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-41)\/16*-2 + (-2038 - -2034). Factor 3\/8*d**2 + i - 3\/2*d.\nAnswer: 3*(d - 3)*(d - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that 2*x**3\/15 + 23314*x**2\/15 - 701348*x\/15 - 1495936\/15 = 0.\nAnswer: -11687, -2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 54797.5 millilitres to litres.\nAnswer: 54.7975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 162 and 1728?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 4*i**2 - 2*i. Let h(t) = -6*t**2 + 12*t + 3. Calculate h(f) + l(f).\nAnswer: -2*f**2 + 10*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1301843 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -39*g + 103. Let s be l(2). Suppose -27*t - 8 = -s*t. What is the closest to 1 in -0.3, 0.6, t?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1381609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*g**4 - g**3 + g**3)*(3*g - g - 4*g) - 3*g**5 + 3*g**5 - g**5 - g**5 + 14*g**5 + 2*g**5 + (g - g + 2*g**2)*(3*g**3 + 5*g**3 - 6*g**3).\nAnswer: 14*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10 + 101110?\nAnswer: 110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 30118403089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 108 - 143 = 5*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3324088428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 84667 is divided by 217.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 19731298 a multiple of 206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x + 3. Let h = -1 - 8. Let u be v(h). Let p = -4 - u. What is the second smallest value in p, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v = -9*s - 47, -36*s + 31*s = 3*v + 30 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 81 divide 17107603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -28*d - 1. Let r be k(-4). Suppose 10*l - 1308 = -2*l. Let o = r - l. Solve -3*b - 21 = -5*p, -b = -3*p - o*b + 7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 270733?\nAnswer: 23, 79, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 15) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 97169 by 2.\nAnswer: 97169\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 2*h**2 + 2*h - 3. Let y be x(-4). Calculate the highest common divisor of 84 and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 389*j**3 - 20 + 20 - 210*j**3.\nAnswer: 179*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -503*o + 4*h + 14 = -504*o, 5*h + 22 = o. Let t(x) be the second derivative of 2\/9*x**3 + 0 - 4\/3*x**o + 23*x - 1\/72*x**4. Let t(j) = 0. What is j?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/(-14))\/(-71*342\/(-1104831)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -403 + 407. Let v(t) be the third derivative of 0 - 1\/12*t**h + 0*t - 1\/10*t**5 + 0*t**3 + 4*t**2 - 1\/105*t**7 - 1\/20*t**6. Factor v(k).\nAnswer: -2*k*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2 - 1461072?\nAnswer: -1461070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 889 + 1020*g + 1034*g - 20*g**2 + 1120*g - 3174*g - 889.\nAnswer: -20*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (17 + (-492)\/30)\/((-6)\/14)*175\/(-14).\nAnswer: 35\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2456 + 4?\nAnswer: 245a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 1 = 3*o - 22, -4*y - 8 = -5*o. Solve 0 = -2*j + y*w + 22 - 40, -j + 5 = 2*w for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -34241 greater than or equal to -34241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = b**2 + 3*b - 5. Let l be y(2). Suppose l - 11 = -p. Calculate the common denominator of 85\/18 and (p\/((-432)\/52))\/(4\/(-6)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-4 + ((sqrt(3)*-1 + sqrt(3) + 5)*6)**2).\nAnswer: 2688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/(-14) + (-12)\/21\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (90\/150)\/((-3)\/(-20105))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16992 divided by -5664?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 + 2. Suppose z = -2*y + 6*y. Solve 4 = 4*i - y*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 41\/33 + -21\/11. Sort 0.2, 1, z, 2.3 in increasing order.\nAnswer: z, 0.2, 1, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 51 divide 1887?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.1 - -0.1. Let s = -4.596 - 0.404. Let t = l - s. What is the smallest value in -1, t, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 37\/60 and -127\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 91690803?\nAnswer: 3, 2017, 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -18 - 38?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(2\/17)\/(d\/d**(1\/9))*(d*d**(1\/4))**(1\/17))**(37\/4) assuming d is positive.\nAnswer: d**(-15799\/2448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g**3 - 2*g**2 + 5*g - 8. Suppose -2*m + 4*m = 4. Let u be i(m). Solve 6*v = u*v - 8, 0 = -l - v + 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -16  (b) 0  (c) 0.2  (d) -60\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1963115 and 2498510?\nAnswer: 27483610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1998714*b + 4852112 with respect to b.\nAnswer: -1998714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 1, s: 3, v: 1, i: 1, w: 1}. Give prob of picking 1 s, 1 v, 1 r, and 1 i.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*t + 74*t = -570 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 - 84 = 16*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2824038195?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Total of 16571 and -172.\nAnswer: 16399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express b + 11 + 21 - 8*b**2 - 33 - 7*b**2 in the form z*b**2 + l*b + j and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -2, -4, 48 in ascending order.\nAnswer: -4, -3, -2, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 0*f = 40. Solve -o - f = -6*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) -5  (b) 3  (c) -11  (d) 0  (e) -98\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1 + 2)\/((-6)\/(-18)). Suppose -k - r = -8. Let m(u) = 4*u + u - u**2 + 0*u - 2*u + k. Determine m(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = 7*q - 6232. Suppose 3*m - 2099 = -4*d, -m - q = -d - 2*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 20000*(4 + -3)*170. Round d to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3967557 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 20 + 6)*((2*v - 5*v + v)*(2 - 5 + 4) - 2*v + 3*v - 3*v).\nAnswer: 56*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1792 + 1815. Does 23 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the second derivative of -1\/9*k**3 + 1\/9*k**4 + 1\/30*k**5 + 0 - 2\/3*k**2 - 3*k. Factor c(f).\nAnswer: 2*(f - 1)*(f + 1)*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 4935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v + 94 = 2*j, -5*j + 134 - 43 = -3*v for v.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2 - 0 - (-10)\/25*5. Is 8\/3 bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in -1, -2\/7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -861274 = 7503*s - 79306 + 50865 for s.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (4\/(-12))\/((-1)\/3)*2. What is the units digit of 35 - (3\/2)\/(r\/(-4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -13326 - -13330. Put -19\/3, u, 3, 1\/5, -0.2 in descending order.\nAnswer: u, 3, 1\/5, -0.2, -19\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1987 is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-1\/4)*s**(-8))\/(s**(3\/4)*s\/(s*s\/(s**(-5\/6)\/s)*s))*((s**(-5))**(-23))**(-34) assuming s is positive.\nAnswer: s**(-23491\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -35b + 5?\nAnswer: -356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 2*y. Let v(d) = -50*d + 5. Let w(m) = -51*m + 4. Let u(l) = 4*v(l) - 5*w(l). What is u(x(z))?\nAnswer: 110*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -19 + 15. Let l = r - -6. Let j be (-129)\/(-15) - 4\/(-10). Solve 0 = -k - l*k - j for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8 + 16846*v + 9 - 16949*v)*(-2*v**2 - v**2 + 2*v**2).\nAnswer: 103*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uxu when three letters picked without replacement from xxuuxuyuuuuxuuxyxu?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10 + 30. Let u = 10 + t. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - (4 - (-5 + 5))) + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 86669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 101, 95, 79, 47, -7?\n\"Answer: -h**3 + h**2 - 2*h + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bqpebqqtbeip. What is prob of picking 1 q and 1 e?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 160235559.21922 - 192017778.2192304. Let z = c - -31782236. Let k = z + -17. What is k rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 388, 785, 1178, 1561, 1928, 2273, 2590?\n\"Answer: -g**3 + 4*g**2 + 392*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1631 and 6757.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the third derivative of -341*d**4\/12 + 207*d**2 + 6. Let j(z) = 4*z. Calculate w(j(y)).\nAnswer: -2728*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 c when two letters picked without replacement from qyqqqqqcqqcyqqqqcql?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 minutes before 11:50 PM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 29 + -57. Let z = 45 + g. What is the remainder when 45 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/76 and (21\/(-5))\/(44\/55)*(-12)\/11268.\nAnswer: 23788","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1045133 divided by -51?\nAnswer: 1045133\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 8 (base 10) to base 2\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 657503.\nAnswer: 7, 11, 8539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 12 * -0.71.\nAnswer: -8.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -3 + (13 - (13 - 6)) + (-11 - -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 19075960999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.098218 millilitres to litres.\nAnswer: 0.005098218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -60, -2, -0.5, -1895 in descending order.\nAnswer: -0.5, -2, -60, -1895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, c: 3, p: 2, b: 3, l: 1, g: 2}. 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: What is the hundreds digit of 21210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 743424047 and 563.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (21 - (-87 - -140)) + (0 - -57).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - 9) + 4 + -12 + 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4323881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -362 - 9967*q - 1736*q - 41.\nAnswer: -11703*q - 403","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2\/4)\/((-1)\/(-2)). Let a be 4*(25\/20 - 0) + -4. Let u(d) = 2*d + 18*d**2 + a - 6*d - 21*d**2 + 3*d. Give u(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 75275487*i**2 - 150030604 wrt i.\nAnswer: 150550974*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i**3 + 3*i**2 - 5*i. Let n be z(-4). Let k be (2\/(-4)*-2)\/(-11 - -12). Sort n, k, -1 in increasing order.\nAnswer: -1, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 15407271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37 = -3*h - 5*n, -3*h + n + 0*n = -7. Is 4 + -5 + h - -316 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 80*w**2 + w + 4. Let f(c) = 239*c**2 + 4*c + 13. Let b(j) = 2*f(j) - 7*y(j). Give b(1).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10654183 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -33*y + 141. Calculate h(5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 45348679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 74448 and 70641.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(1920)*-2)\/((sqrt(6) + sqrt(54))*5 - 3*sqrt(96)).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 129 - 124. Sort 0.5, -4, p in decreasing order.\nAnswer: p, 0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 279283\/9 - 31027. Suppose -2\/9*i**4 - 40*i - k*i**3 - 236\/9*i**2 - 18 = 0. What is i?\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 - 2)*(-3*o + 0*o + 2*o) + 5*o - 3*o + 0*o + (-2*o - 26*o - 92*o)*(-4 + 6 - 1).\nAnswer: -116*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -8 + 51*d**4 + 2*d**4 - 24 with respect to d.\nAnswer: 212*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -83*p = -150*p + 78*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(98)\/sqrt(175))\/(2*sqrt(50))*-2*6.\nAnswer: -6*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 93*r + 144 + 138 = -r - 3*v, 5*v - 3 = r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*c**2 + 0*c**2 + 0*c**2 + (-1 + 5 + 0)*(-4*c**2 + 2*c**2 + 4*c**2).\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 7*r**3 - 2*r**2 - 4*r + 5. What are the prime factors of c(2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2 - -1)\/((12\/(-2))\/12). Suppose -550*j - 16 = -534*j. Sort j, v, 0, 4 in descending order.\nAnswer: 4, v, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 8*g - 61. Let p be m(9). Let i be (14\/(-2) - -2) + 0. Let z = p + i. Calculate the highest common factor of 42 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6826859ng in tonnes?\nAnswer: 0.0000000000000006826859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 523*c - 16*c - 22*c - 9*c.\nAnswer: 476*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -57*l + 2*l - 54*l + 258 + 6*l wrt l?\nAnswer: -103","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 4004*v. Let d be b(1). Let s = -6481198\/7 - -921873. Let h = s + d. What is the common denominator of -19\/10 and h?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:25 PM and 12:03 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 3258*j**2 + 19*j + 7. Let f(u) = -3258*u**2 - 19*u - 6. Let n(y) = -3*f(y) - 4*m(y). Let g be n(10). Round g to the nearest ten thousand.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4825*r - 43754 = -217*r + 12410*r + 7300 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -3123.79 rounded to the nearest ten?\nAnswer: -3120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -3*i - 1. Suppose -5*r + 2 = 3*c, 2*c - 2*r = i*r + 16. Suppose -2 = -3*q + 7. Sort 2, q, c in decreasing order.\nAnswer: c, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -143*t**3 + 72*t**3 + 70*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 245*c - 327 + 705 = -847 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 148.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2 or 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 431 = 65*z - 374 - 170 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = p - 26. Calculate the highest common divisor of p and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -185*k + 92*k + 137*k - 880. Let h = 109 - 73. Calculate the remainder when h is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*j + 1471 - 1536 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 6*m + 63. Let d = m + 31. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.036 and -0.4.\nAnswer: -0.0144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 24 = 4*f, 4*f + 4*l = 3*f + 6. Suppose -3*x - f - 5 = -q, 2*q - 13 = 3*x. Find the second derivative of -q*c**4 - 41*c**2 + 41*c**2 + 5*c wrt c.\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xssz when four letters picked without replacement from ssgsgzzzsgszszx.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -515*x - 34*x - 48*x - 3.\nAnswer: -597*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0007728776 to 6 decimal places.\nAnswer: -0.000773","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3 + -1210320?\nAnswer: -1210323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(126)*-3)\/(sqrt(9) + 2*sqrt(27)\/sqrt(3)))\/(sqrt(2) + -1*sqrt(242) + 3*(sqrt(2) + sqrt(50))).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sdaeaeaudusddeud. What is prob of picking 2 d and 1 s?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -84*t = -10*t - 19240. What is the greatest common divisor of t and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4)\/(-6) + (-21)\/(-9). Suppose -s = -m*s + 68. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a factor of 168828851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 38678859*h**2*r - 7*h**2 - 61*h + 565 wrt r.\nAnswer: 38678859*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(5*4\/20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in fifty-one halves of a meter?\nAnswer: 2550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 3466, 3469, 3472, 3475, 3478, 3481?\n\"Answer: 3*a + 3463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6888 - -8482. Calculate the least common multiple of r and 11.\nAnswer: 17534","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1327244 or 1326661?\nAnswer: 1327244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0, -0.4, -1, 0.9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 105*d + 121*d - 294*d + 3060 = 0 for d.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 342389295 and 719?\nAnswer: 342388576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the second derivative of -5\/36*k**4 - 5*k**2 + 0 + 77\/18*k**3 + 56*k. Find s such that v(s) = 0.\nAnswer: 2\/5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 - 45 = -4*v. Does 4 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4013043 (base 5) to base 13\nAnswer: 22bb5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - s**2)*(-8 - 53 + 201 + 756)*(0 + 4 - 2).\nAnswer: -1792*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4006 divided by -3482.\nAnswer: 2003\/1741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m**3 + 25*m**2 + 21*m - 412. Let v be g(-22). Solve -v*j - 91 = -565*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7684414937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 - -1. Suppose -16 - 8 = 4*r - w, -15 = 5*r - 5*w. Let n be 2 - (66\/r)\/(-6). Which is greater: o or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 248791982 to the power of 1\/3, to the nearest integer?\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (o - o + o)*(67*o - 38*o + 7*o + 78*o)*(-3 + 1 + 0).\nAnswer: -228*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 2*l - 24. Let t be y(11). Sort 3, 2, t, -4.\nAnswer: -4, t, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3012 (base 4) in base 8?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4822256 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.87 + 1.07. Let l = -30 - -31. What is the closest to l in 0.1, 124, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.3, 834, 4, -11.3, 9?\nAnswer: -11.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4122 - 28842\/7. What is the smallest value in 3, b, -0.15, 1\/2?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -12590411*a*h + 6854815*a with respect to h.\nAnswer: -12590411*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*u - 60, 3*u + 683 - 713 = 3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -31 + 41 + 2 + -1 + -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -88 - -92. Suppose 2*w - 4*f = w - j, -5*f = 2*w - 31. Calculate the highest common divisor of w and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7461 rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 44\/405 and ((-869)\/55 + -7)\/((-270)\/(-4)).\nAnswer: 2025","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 976317*o**3 - 111*o**2 + 416*o + 1 wrt o.\nAnswer: 5857902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hghphhlhl. Give prob of sequence hh.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 307 a factor of 148164033?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:29 AM and 6:38 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-28)\/36 - 4\/(-6). What is the biggest value in c, -1, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (147\/(-1470))\/((-44)\/22880).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + (26 - 35) + (9 + -19 - -11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 minutes after 7:56 AM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 45\/16 and 1 + 1\/2*53.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1001001111011000110011 - -1100?\nAnswer: 1001001111011000111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1021*z**2 - 958*z wrt z.\nAnswer: -2042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -29 - (2 + -13 - 6).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -4*i - 3*b + 98, -2*i - 2*b + 52 = 0. Let a = i - 16. Calculate the smallest common multiple of 21 and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-37)\/(-1332)*-1028 + 27.\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 584495784 to the nearest integer?\nAnswer: 836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -r**3 - 12*r**2 + 6*r + 57. Let n be w(-12). Sort -4, 0, n in descending order.\nAnswer: 0, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 6*q + 11. Let n be c(4). Suppose -19 - 11 = -2*z. Suppose -2*l + 0*l + z = -t, -4*t = -4*l + 40. What is the highest common divisor of n and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -147081164766 and -17.1.\nAnswer: -147081164783.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i**2 + 3*i - 27. What is n(-16)?\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 315 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 15 = 5*f, 2*z + 3*z - 6 = 2*f. Suppose 2*r - 2*w - 466 = 0, z = -4*r + 3*w + 506 + 425. Is r a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 587 minutes after 7:44 AM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 9.76 + -8.4. Let l = w - -0.64. What is the nearest to -1.4 in 5, -5\/3, l?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -28\/5 + -659\/10. Let s = 5001\/70 + f. Is 0.1 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-y**2 + 6*y**2 - 3*y**2)*(-43*y + 124*y - 41*y) - 4*y**2 + 2*y**3 + 2*y**2 + 0*y**3.\nAnswer: 82*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 5*g. Let k(z) = -z. Let i(s) = -b(s) - 4*k(s). Let t(l) be the first derivative of -l**2 - 1. Determine i(t(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 245957\/20 + -12304. Let k = 1111\/19 - 15631\/228. What is the common denominator of i and k?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (958*s + 928 - 928)*(-3 - 2 + 1).\nAnswer: -3832*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 30 = -8*f + 3*m, 0 = -2*f + 4*m + 22. Factor -176*d**3 + 972*d**5 - 23*d**2 - 1008*d**5 - 152*d**4 - f*d**2.\nAnswer: -4*d**2*(d + 2)**2*(9*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*b**2 - 260*b - 623 - 3*b**2 - 555 + 1434 = 0. What is b?\nAnswer: 1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 + -2. Suppose 13 = 3*t + p. Suppose -t*h + 27 = -13. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 360 divide 557865720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**2\/5 + 15163690*x - 75818452\/5.\nAnswer: 2*(x - 1)*(x + 37909226)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 50967*j**2 + 6116*j - 4 wrt j?\nAnswer: 101934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 18704 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -18, -7, 56, 195, 434, 797?\nAnswer: 1308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**3 + 13*o**2 + 15*o - 4. Is z(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*i = -3*i. Suppose -2*r + 3 + 3 = i. Solve 4*w - t + 17 = r, -4 = 2*t for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*h + 678 - 242 - 307 as i + l*h and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 3279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h**2 + h - 6. Suppose 29 = j + 25. Let s be i(j). Let f = s - 10. Solve 0 = -f*n - 3 - 13 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2193224 divided by 5.\nAnswer: -2193224\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 0 + -6 + 11 + -3 - -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00103982 rounded to six decimal places?\nAnswer: 0.00104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that -f**4 + 3*f**3 + 75*f**2 + 137*f + 66 = 0.\nAnswer: -6, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 94.1 + -94.08. Which is the fourth biggest value?  (a) 1\/43  (b) -0.2  (c) q  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/13?  (a) 25  (b) -4  (c) 3\/8  (d) 18\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6444388401910\/8533 - -755231265. Let a = n - 3\/2438. What is the common denominator of 11\/112 and a?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(45)\/((sqrt(36)\/sqrt(4) + sqrt(9) - sqrt(9))*3 + sqrt(9)))**2.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 3*i**2 + 24*i. Let r be l(-8). What is u in -2\/7*u - 2\/7*u**2 + r = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -79, -94, -109, -124, -139, -154?\nAnswer: -169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 39\/4 + (-2)\/(-8). Suppose v = 4*b + b. Suppose b*i - 3*i + 89 = 0. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.13, 7, -2?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*v**2 - 4*v**2 + 4*v**2.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 2*m - 3*n - 52 = 0, 5*m = -5*n + 20. Let g be (168\/70)\/(12\/(-40)) + 6. Put m, -4, g in decreasing order.\nAnswer: m, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -s**3 - 17*s**2 + 17*s - 21. Let i be v(-18). Let j be 3\/(-2) - i\/(-2). Let g be (2*-2)\/(2 + -3 - j). Put 1, -3, -5, g in increasing order.\nAnswer: -5, -3, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -35\/226888 and 17\/21540.\nAnswer: 3403320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(34)*-2)\/sqrt(2).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 s when two letters picked without replacement from {s: 2, b: 10, y: 3}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 5*k**2 + 2*k**2 + 0*k**2 + 9*k + 15 + 0*k**2. Is s(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 262*p - 105*p + 238*p + 9*p to s*p + g and give s.\nAnswer: 404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 55556851 to the power of 1\/3, to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.1 - 0.1. What is the closest to 0 in i, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1169, 3143, 5117, 7091?\nAnswer: 9065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-16 + 9 - 8)*(1 - 1 - 2*r).\nAnswer: 30*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) be the third derivative of 5*h**8\/336 + 11*h**7\/15 + 399*h**5\/20 - 488*h**2. Find the third derivative of z(a) wrt a.\nAnswer: 300*a**2 + 3696*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 14486, 29008, 43482, 57884, 72190?\n\"Answer: -4*v**3 + 14550*v - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 3, t: 2, u: 6, f: 4, r: 3}. Give prob of picking 2 t.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00153843 to six decimal places.\nAnswer: -0.001538","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-8)*n**(-6\/7))**(2\/157)\/((n**2)**(-33)*(n\/n**(-2\/9))**13) assuming n is positive.\nAnswer: n**(494533\/9891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 446 = -3*t + 467. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -63*v**3 + 18*v**2 + 52*v - 29. Let o = -25 - -14. Let j(s) = -21*s**3 + 6*s**2 + 17*s - 10. Let n(t) = o*j(t) + 4*x(t). Let n(p) = 0. What is p?\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (4\/(-7))\/(5\/(6 + -41)). Let j be ((-11)\/3 - 3)*-3. Let n be (-3 + j\/8)*q. Is -4\/7 >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 186 - 326. Let c = d + 64.2. Let y = 69 + c. Round y to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 120*a**3*q**2 - 31*a**3 + a**2*q**2 + 11*a*q**2 - 447*a*q - 1 wrt q.\nAnswer: 240*a**3 + 2*a**2 + 22*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 6.68\nAnswer: 6.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*k = 21*k - 47*k + 82. Solve k*u - h = 2 - 15, 5*h + 5 = 0 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1 + (-2)\/(2 + -4). Suppose 0 = -5*u - l + g, -2*u + 5*l + 14 = -3. Let q = -55 + 58. What is the highest common factor of u and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 4*b**5 + 3*b**2 - 5*b. Let s(m) = 4*m**5 + 2*m**2 - 4*m. Let x(f) = -4*h(f) + 5*s(f). What is the third derivative of x(i) wrt i?\nAnswer: 240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kwkkkwkkwk. Give prob of picking 2 w and 1 k.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1264.046 at least as big as -0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 46*s**2 - 10*s - 22. Let b(g) = 69*g**2 - 14*g - 33. Determine -5*b(x) + 7*c(x).\nAnswer: -23*x**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 582 minutes before 5:50 AM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -11575 and -58208.\nAnswer: 673757600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -293*j**4 - 6 + 143*j**4 + 144*j**4 wrt j.\nAnswer: -24*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, -990, 3\/4, 6\/31?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 67\/6 and 133\/222.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 358666377 to the power of 1\/2, to the nearest integer?\nAnswer: 18938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 764*u. Let i(s) = s**2. Calculate p(i(j)).\nAnswer: 764*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -278*h + 3306. What is q(12)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 10\/(-15)*3*2*1. Let u be -3*(-2)\/(i\/(-2)). Factor -1\/7*z**u - 8\/7*z - 5\/7*z**2 - 4\/7.\nAnswer: -(z + 1)*(z + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 47?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 100271 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (9\/3 - -2)*-2. Let q be (-40)\/(-25) - 4\/w. Suppose -q*s + s + 53 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 72.27686 milligrams?\nAnswer: 0.00007227686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (33696\/(-2604))\/(-39) - (-3)\/(-7)?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 770 + 28*g**2 + 50*g**2 + 1325 - 76*g**2 to the form k + q*g**2 + w*g and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/9613473 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0003011739 rounded to 5 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide (-78108)\/(-18) - 2\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2 + -2. Let t = -0.78 + 122.78. Let g = -122.1 + t. Which is the nearest to v?  (a) -1  (b) 4  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 57, 4, 0, -63, 46 in ascending order.\nAnswer: -63, 0, 2, 4, 46, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w + 4008254 - 4008259 = -2*j, -5*w + 3*j - 11 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (483\/(-14))\/(72\/(-8)) + -4.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (17\/(-19) - -1) + (-686392)\/(-9044). Solve -s = -26*r + 54 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i - 14. Let m be s(-12). Let o(c) = -5*c**2 - 3*c - 1. Determine o(m).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 38 - 72. Let g be (l - -30) + 8 + (2 - 1). Let u(i) = -i**2 + 6*i - 1. Determine u(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -47.4 + 39. Let j = 8 + l. Suppose 2*q = -5*v - 13, -2*q - v + 2*v + 17 = 0. Which is the closest to 1\/3?  (a) q  (b) -1\/3  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x - 6. Let h(k) = -k**2 - k - 1. Calculate -4*h(z) + p(z).\nAnswer: 4*z**2 + 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s**2 - s - 7. Let n be u(0). Let t = n + 17. Let x = t + 0. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 6*v**3 + 2*v + 1 - 13*v**3 + 4 - 3*v. Let p(g) = -2*g - 11*g**3 + 0 + 3 + 5. Let y(f) = -5*p(f) + 8*r(f). Find the second derivative of y(a) wrt a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 176*w**2. Let j(x) = 7*x**2 + 5*x - 5. Let a = 10 + -18. Let k(y) = 11*y**2 + 8*y - 8. Let m(l) = a*j(l) + 5*k(l). Give m(q(b)).\nAnswer: -30976*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 230572?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*t + 3*t + 25 - 3*t + 2*t.\nAnswer: 2*t + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 7\/6 of a day?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*b = -1762 + 1320. Calculate the remainder when 3024 is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 82606 and 82582 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1378 is divided by 92?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 minutes before 4:20 AM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -124, -528, -1248, -2320, -3780, -5664?\nAnswer: -8008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a millimeter in micrometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 45 + -43. Let z = -0.3 - -0.8. Which is the nearest to 0?  (a) z  (b) 4  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 2*q**2 + 2 + 3*q - 5*q + 4*q + 2*q**3. Suppose 79*o = 74*o + 75. Let z(m) = -4*m**3 - 5*m**2 - 5*m - 5. What is o*c(w) + 6*z(w)?\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2744) - (sqrt(2744) + -3*sqrt(2744)*-1) - sqrt(2744))\/(-5*(sqrt(968) + sqrt(968)*-1 + sqrt(968) + sqrt(968) - sqrt(968))).\nAnswer: 28*sqrt(7)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/3  (b) 4  (c) -0.8  (d) 0  (e) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3363782 - 251*i**3 + 3363782.\nAnswer: -251*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.017 - 63.017. Let w = -1217397204 + 1217397266.9999949. Let i = q + w. What is i rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5\/464654 and -48\/1161635.\nAnswer: 2323270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s - l - 27218, -s + 8559 = l - 5059. Is 83 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**2. Let p(h) = 12*h. Let c(q) = 13*q. Let k(t) = -t**2 - 16*t. Let x be k(-13). Let a = x - 36. Let l(m) = a*c(m) - 4*p(m). Give l(n(z)).\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 32 = 41. Suppose -a*g - 2*i + 755 = -512, -g - 5*i + 431 = 0. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -77*u**3 + 2013853*u**5 - 4128*u**2 - 2013857*u**5 - 988*u**2 wrt u.\nAnswer: -240*u**2 - 462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g = g + 10. Let j be 72\/20 + (-4)\/g. Suppose 5*y + 4*c - 18 = 0, 2*c = 5*y + j*c - 14. Sort 1, 0.5, y in ascending order.\nAnswer: 0.5, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.01, -1, 2\/5, 127\/6, 0.1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -z**2 - 4*z - 1. Let k = -68 - -68. Suppose k = l - c, -21 + 6 = 3*c. What is a(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ecc when three letters picked without replacement from {o: 4, u: 1, c: 3, y: 3, e: 2, n: 2}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5068.285 - -5036. Let r = -0.195 + c. Let z = -33 - r. What is z rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11 + 11311012220?\nAnswer: 11311012203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 9747852?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6282631\/323 - 19451. Calculate the common denominator of k and -101\/2.\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x**2 - 14*x + 7. Let r be t(11). Let i be (-6)\/(-39) - 5300\/r. Let m = -119 + i. Is m a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -1\/1335?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2, -14467, -246?\nAnswer: -246","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/((-3)\/(-18)*9*-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -3*h**2. Suppose 0 = -5*s + 4*d - 5*d + 11, 2*s - 3 = d. Let o(p) = 92 + s*p - 92. Give z(o(l)).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 a when two letters picked without replacement from {i: 8, a: 2, e: 2, s: 1}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -173\/9 - -3281\/171. Is 0 smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 86020, 180279, 274538, 368797, 463056, 557315?\nAnswer: 651574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the second derivative of l**5\/20 - 3*l**4\/4 - 5*l**3\/2 - 13*l**2\/2 - 40*l. What is the tens digit of m(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3 - 3)*(62 + 12 - 20)*(0 - 2*p**2 + 0)*(0 + 3 - 1)*(2 + 2 - 2).\nAnswer: 432*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 5*(1 + 14\/10). Suppose 0 = 3*u - u + v. Does 4 divide ((-8)\/12)\/(1\/u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of (3 + (-111)\/(-15))\/((-4)\/(-20))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (s**2 + 0*s + 0*s)*(3*s - 16 + 16) + (-11 - 2 + 10)*(-s**3 + 0*s + 0*s) - 8*s**3 + 8*s**3 + 7*s**3 as i*s**3 + r*s**2 + t + x*s and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 1 = 45. Let s = k + 20. Suppose -1 - s = -f. Calculate the least common multiple of 5 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3709*r**2 + 3709*r**2 - 712*r**3.\nAnswer: -712*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 27, 81, 121, 105, -9?\nAnswer: -263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*w**3\/8 + 86577*w**2\/8 - 574404105*w\/8 + 1107723098331\/8.\nAnswer: -3*(w - 20337)*(w - 4261)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - 12 = 0, -28*w + 126 = -23*w - 2*r. Let v(h) = -h. Let q(s) = 4*s. Determine w*v(g) + 3*q(g).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k, 2 h, and 1 p when four letters picked without replacement from {a: 2, k: 1, p: 1, x: 5, h: 6, l: 1}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 135 by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the third derivative of p**6\/720 + p**5\/6 - 31*p**4\/36 - 59*p**2 + 5. Factor x(n).\nAnswer: n*(n - 2)*(n + 62)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(2\/3))**47)**(-1\/2)*u**2\/u**(-5)*(((u**(1\/4)\/u*u)\/u)\/u)\/(u*u**(-3\/2)*u) assuming u is positive.\nAnswer: u**(-131\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c**2 - 3*c - 52. Let m be n(0). Let o = -43 - m. Let y be (-2)\/o - 2843992\/36. Round y to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u**3 - u**2 + u. Let y be q(0). Suppose y = -2*h + 14 + 28. Calculate the remainder when 13 is divided by h*((-2)\/3 - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 16*x**2 + 2*x. Let v(n) = 59*n**2 + 5*n - 5. Let w(k) = -4*d(k) + v(k). Let l(g) = 2 - 2 + 4 + 5*g**2 + 2*g. What is -3*l(z) - 2*w(z)?\nAnswer: -5*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:20 AM and 10:20 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -108*k**2*q*t**2 + 7*k**2*q*t - k*q*t**2 - 5*q*t**2 + 3*q*t - 3*t wrt t.\nAnswer: -216*k**2*q - 2*k*q - 10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3.0375 - 0.0375. Which is the nearest to 1?  (a) 0.2  (b) 1\/4  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -108270468 divided by -163?\nAnswer: 664236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/51*((-64)\/8)\/8?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the first derivative of -2*y**3\/3 - 56. Let z(d) be the second derivative of 5\/12*d**4 + 0*d**2 - 16*d + 0*d**3 + 0. What is z(b(w))?\nAnswer: 20*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 28*q + 29 - 113. Suppose 2*m - 4*l = 98, 6*m - 4*l = q*m + 137. What is the greatest common factor of 390 and m?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*a**3 - 26*a**2 - 60*a.\nAnswer: -2*a*(a + 3)*(a + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.18717 to two dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 606*w**3 + 4873*w**3 + 2536*w**3 - 880*w**3 - 395*w**3.\nAnswer: 6740*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100100111100010111 + -101?\nAnswer: -100100111100011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2568714?\nAnswer: 2, 3, 211, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1 + (-45)\/(-35) - 495\/(-7). Let j = x - 61. Solve 5 = -3*u - j for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 20 in -369\/7, 0, 1\/6, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:55 AM and 4:20 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(152)\/(sqrt(800) + sqrt(800)*2 + sqrt(800)).\nAnswer: sqrt(19)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -11*z - z**4 + 11*z**4 + 13*z + 2 - 2*z**4 - 2 + 0*z**3 + 0*z**3 - z**4 + (-5*z**3 + 0*z**3 + 3*z**3)*(z - z + z).\nAnswer: 5*z**4 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -8 - 381*(-396)\/4. Suppose 4*i + 4*o - 30172 = 0, o - 4*o + f = 5*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3.2557 - -0.0543. Let j = u - 4.31. What is the second smallest value in 3\/2, j, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 402720 and 20480?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 35*f - 9240 + 1015. Is 62 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 + 6. Let i(o) = -2*o**3 - 2*o**2 + 6*o - 3. Let t(h) = h**3 + h**2 - 3*h + 1. Let r(l) = g*t(l) + 2*i(l). Determine r(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.63673l to millilitres.\nAnswer: 5636.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**3 + 382*t**2 + 16874*t - 81. Determine m(-40).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -0.453 - -13273956\nAnswer: 13273955.547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 213113020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(132)*2 - sqrt(132) - sqrt(132))*2)\/(((-4*sqrt(120) - sqrt(120)) + sqrt(120) + sqrt(120))\/sqrt(10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 3*(sqrt(108)*-2)\/sqrt(9) + 2)**2.\nAnswer: -48*sqrt(3) + 436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*x**2 - x**2 + 0*x**2)*(-1 + 0 + 6) - 5*x**2 + 3*x - 3*x + (2*x - 2 + 2)*(0 + 4 - 2)*(-x + 0*x - 4*x) to w*x + p*x**2 + v and give p.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1071 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 2129.994731 rounded to zero decimal places?\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by 88\nAnswer: -3\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000149669 to six dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1356414 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c**2 + 2*c - 12. Let m = -14 - -21. Suppose -m*j - 36 = -j. Calculate the remainder when 34 is divided by l(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 2*y - 2. Let j be -3*3*(-2)\/9. Factor 8*z**2 - j*z**2 - z**3 - 8 + y*z**3.\nAnswer: 2*(z - 1)*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 m when two letters picked without replacement from mesxxeemxxxxxxmxxmx.\nAnswer: 44\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the first derivative of -47*q**6 + 259*q**2\/2 + 730. Find the second derivative of j(m) wrt m.\nAnswer: -5640*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 36808 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4\/16 + (-1)\/4. Suppose 18 = 3*p - 0*p - 3*w, 0 = p + 2*w. Let y be (6\/p)\/((-36)\/(-96)). Solve t = m - y*m + 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7043.99995027 - -7044. Round m to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -61 - -23 - (-102 + 82).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 + -2313?\nAnswer: -2321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6 - -5.6. Let d = -46 - -53.6. Let x = 2.6 - d. Which is the closest to 4?  (a) -0.3  (b) q  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l**3 + 2*l**2 + l - 1. Let w(u) = -u**3 - 6*u**2 + 2. Let a(i) = 2*o(i) + w(i). Suppose 2*k + 5 - 15 = 2*x, 19 = 3*k - 5*x. Give a(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.07 times -432?\nAnswer: 30.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57*p + 16 = 61*p. Let c(x) = p*x - 7 - 19 - 3. Let f be c(7). Which is bigger: f or -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve b + 77621 = 4*m + 77619, 0 = -5*b - 5*m - 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 2*f**2 + 2*f - 5. Let k(q) = -q**2 - q + 2. Let h be 4 - (19 + -4) - 4. Let u = 15 + h. Let y = u + 2. What is y*j(c) + 5*k(c)?\nAnswer: -c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -12053076319\/854 + 14113680. Let v = 2\/427 + u. Which is the third smallest value?  (a) -3  (b) v  (c) -2  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 18006 in 0.2, -4, -5, 4, 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 11*z**3 + 7*z**2 - 27*z + 23. Let o(j) = 3*j**3 + 2*j**2 - 9*j + 7. Determine 7*o(f) - 2*r(f).\nAnswer: -f**3 - 9*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 189.6 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 2030855, 4061547, 6092239?\n\"Answer: 2030692*o + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2351?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2980 by -298.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*n**4 - 2391455*n**3 + 7174335*n**2 - 7174325*n + 2391440.\nAnswer: 5*(n - 478288)*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3305.825nm to millimeters.\nAnswer: 0.003305825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 11207 and 142285673?\nAnswer: 1601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2855 + 5998 - 1233)*(p + 3*p - 3*p).\nAnswer: 7620*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 3\/5*s**3 + 1\/5*s**2 + 1\/5*s**5 - 1\/5*s**4 + 2\/5*s.\nAnswer: s*(s - 2)*(s - 1)*(s + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2 - 0. Let s be (-7)\/1 + 33 + -29. Put p, -0.5, s, -0.4 in ascending order.\nAnswer: s, p, -0.5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 100 and 970.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**3\/3 + 37*v**2\/3 + 335*v\/3 + 299\/3.\nAnswer: (v + 1)*(v + 13)*(v + 23)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2.1 in -1, -11.7, 8, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -298522, -596972, -895422?\n\"Answer: -298450*i - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.0794041 and 4?\nAnswer: 0.3176164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the first derivative of a**4\/2 + 11*a - 1. Differentiate o(i) with respect to i.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1663, -27, 2, 11, 5.\nAnswer: -27, 2, 5, 11, 1663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 2, 262, -1230, -4 in descending order.\nAnswer: 262, 2, -3, -4, -1230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -13, -79, -181, -313, -469, -643?\n\"Answer: y**3 - 24*y**2 - y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1366950415 times 0.1?\nAnswer: -136695041.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -167765902823237\/12545 - -13373128809. Let w = k + -7\/2509. Let g = 152 + w. Which is the third smallest value?  (a) 5  (b) g  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 418653061 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/5?  (a) 23.24  (b) -2\/11  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6475462676 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bb when two letters picked without replacement from rrdbblrrmbbbqmqddqdr?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3230*z - 208 = -3217*z for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 113 - 121. Which is the closest to -2?  (a) -2  (b) r  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s - 668 + 679. What is the remainder when s is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j*j**(-18\/11)*j)*j*j*j)\/((j\/(j*j*((j*j*(j\/((((j*j**(-1)*j)\/j*j)\/j)\/j))\/j)\/j)\/j*j*j*j))\/j)*(j**(-2\/25)\/j)**(-17) assuming j is positive.\nAnswer: j**(7699\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ssassssssdssss. What is prob of picking 2 s?\nAnswer: 66\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*c = 23*c - 28 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a**3 - 6*a**2 + a. Let x be k(6). Let q(t) = -2*t + t**3 - 9*t**2 + 4*t + 3*t**2 - 7 + 5. Calculate the remainder when 36 is divided by q(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2227*n**2\/3 - 4211*n\/3 + 2470 = 0. Calculate n.\nAnswer: -3, 2470\/2227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(36) - 4*(sqrt(180)\/sqrt(5) + sqrt(36)))\/(sqrt(48)\/sqrt(64)) + (sqrt(1176)*-1)\/(sqrt(56)\/(sqrt(21)\/sqrt(3))).\nAnswer: -35*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**3*(z\/(z*z*z\/(z**(-5)\/z)))\/z*z assuming z is positive.\nAnswer: z**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1881, 3543, 5323, 7221, 9237?\n\"Answer: 59*q**2 + 1485*q + 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*y - 57*y = 54*y - 1738950. What are the prime factors of y?\nAnswer: 2, 11593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -60*o**2 + 60*o - 35. Let c(s) = 5*s**2 - 5*s + 3. Determine -35*c(i) - 3*v(i).\nAnswer: 5*i**2 - 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 291 and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -5 + 1 + 2 - -72. Let j be l\/28 - 2\/(-4). What is the second biggest value in -0.11, 2, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*h + 6 = 62. Is h a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -532 - 3*i**2 + 145 - 17*i**2.\nAnswer: -20*i**2 - 387","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000009843888 rounded to 7 decimal places?\nAnswer: 0.0000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2901226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -4*c + 3. What is m(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*w + w + 4*w + (4*w - 4*w + w)*(2 + 5 - 5) + w + 1 - 1 - 829 - 44*w - 45*w + 116*w - 26*w.\nAnswer: 5*w - 829","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -111 = -w - 106. Let g be w\/(-10) + 11\/30. Is 0 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*h - 2*v - 254 + 202 = 0, 0 = -5*h - v + 22 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*y - 25 = -24*y. Let h = 27 + y. Which is the closest to 0.1?  (a) -4  (b) h  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 97\/14 and 91\/362.\nAnswer: 2534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (90\/(-8))\/(60\/(-1040)). Suppose 200*c - d*c = 5030. What is the hundreds digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence au when two letters picked without replacement from arpnrrrnanunpae?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 32 + -32. Suppose -3*b + s*b = -2*v - 8, -5*b + 12 = -4*v. Suppose -3*o = -k - 26756, -4*o - v*k + k + 35684 = 0. Round o to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:54 PM and 11:51 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = 3*t + 151, -6*u + 185 = -u - 5*t. Suppose 5*j - 84 = 4*o, 3*j + 2*j - 75 = -5*o. What is the highest common factor of u and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2\/5)\/(-2 - (-216)\/105). Put p, -22, 4, 2 in decreasing order.\nAnswer: p, 4, 2, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*h**4 - 344*h**3 + 229*h**2 + 6626*h - 1480 = 0.\nAnswer: -4, 2\/9, 5, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve r - 2*c + 35 = -3*r - r, -44*c = 0 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -2*c**2 - 10*c + 8. What is t(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 14*w**3 + 11*w**2 + 39*w - 228. What is the units digit of a(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 100, 148, 1, 0 in increasing order.\nAnswer: 0, 1, 5, 100, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 705 minutes before 2:31 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 + 1110101030101?\nAnswer: 1110101030031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -3*l - i + 9, 6 = 2*l - 2*i. Suppose -3*t + 5*j + l = 5, 26 = t + 5*j. Solve -t = 5*u - 21 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 328 and 7962?\nAnswer: 1305768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1516334143 + -0.3?\nAnswer: -1516334143.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = 3*u + 27, 6*o - o + 2*u - 38 = 0. Let m(w) = w - 5. Let q be m(5). Suppose 2*j - 18 - 94 = q. What is the highest common divisor of o and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 23, 0, -35, -88, -165, -272, -415?\nAnswer: -600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 minutes after 1:38 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from agagagzgag. Give prob of picking 1 g and 2 a.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1803886154.\nAnswer: 2, 7, 2789, 46199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.42 + -0.02. Let p be ((-4)\/10)\/((-16)\/(-10)). Which is the nearest to p?  (a) h  (b) -3  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -43362 divided by 803?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 18 and 1386966.\nAnswer: 24965388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28*t - 31*t - 33*t - 4*t**3 + 92*t.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1 - -36 - 4)\/(31\/3317). What is the greatest common divisor of r and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -15*s**5 - 10*s**4 - 6614*s**3 + 4*s**2 - 994927*s - 1 wrt s.\nAnswer: -900*s**2 - 240*s - 39684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = 6*l - 2*l + 5*q, 5*l = 3*q + 22. Suppose 4*f - 31 = l. Let i be (f\/(-6))\/((-1)\/16). Solve -20 = o - 4*v, 3*v - i = -0*o + 3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is q in -147*q**5\/5 - 1623*q**4\/5 - 1248*q**3 - 10248*q**2\/5 - 6288*q\/5 - 48 = 0?\nAnswer: -5, -2, -2\/49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x - 5*y - 20 = -5, y + 23 = -5*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -80477\/34220 - -3\/1711. Find the common denominator of -25\/2 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -6*c. Let q(l) = -22*l + 11. Let r(z) = 11*z - 5. Let u(d) = 4*q(d) + 9*r(d). Let i(n) = -5*a(n) - 3*u(n). Calculate i(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 4*h + h. Suppose -h*p - 72 = -4*p. Calculate the smallest common multiple of p and 28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 110 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 586 minutes before 12:41 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 40 and 2432.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 4 - (4 + 0 + -1 + -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -135*t + 129*t = -3*b - 15, -5*b - 34 = -t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o**2 - 16*o - 12. Let g(t) = t**2 - 14*t - 63. Let f be g(17). Let a be 176\/f - 3\/9. Calculate s(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -53961084 or -53961083?\nAnswer: -53961084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 418*i - 110566 + 110566 as f + a*i and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (19\/(-57))\/(129\/2). Let w = 371\/3096 - p. What is the third biggest value in -1, w, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48\/160*45\/54?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0\/(-1) - (26 - 28). Solve -l = 8*k - 18 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -4*p. Let z(n) = -n - 5. Let w be z(1). Let g(f) = -17*f. Calculate w*g(i) + 26*u(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 17 + -14. Factor 12*g**3 + k*g**4 + 12*g + 18 + 5*g**2 - 15 + 13*g**2.\nAnswer: 3*(g + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7534697 by -2.\nAnswer: 7534697\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 33, 155, 359, 645, 1013, 1463, 1995?\n\"Answer: 41*j**2 - j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -8244 at least as big as -8244?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 2*b**2 - 161*b + 270. Give w(79).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -30*l + 0*l**2 + 6*l**2 - 35 - l**2.\nAnswer: 5*(l - 7)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -81 = 14*l + 3 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 26332333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-50)\/4)\/(-5)*17\/340.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -722 - -723. Let n = -2.2 - -2.3. What is the nearest to v in -0.01, -2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 362 + -9958?\nAnswer: -95d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 1 - 1 + 5 + 21*c - 6. Let q be x(3). Let p be q\/16 + (-12)\/(-96). Let r(y) = -2*y + 2. Determine r(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 425.22 + -373.22. What is the fourth smallest value in -0.07, -0.5, -8, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 4*x**2 + 360*x - 6629. Calculate a(18).\nAnswer: 1147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 6063 = -5513. What are the prime factors of h?\nAnswer: 2, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 110 and 110220.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1176439083002 + -0.8.\nAnswer: 1176439083001.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(-1 + sqrt(13))*2 + -5)**2.\nAnswer: -12*sqrt(13) + 469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2 + (-2)\/1)\/(-2). Suppose 0 = -w*u - 4 - 0. Is u + 5\/(10\/102) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2465 and 2465.\nAnswer: 2465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 401 minutes after 10:44 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000277545 rounded to 7 decimal places?\nAnswer: -0.0000278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/81*3\/1.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*r**2 - 4 + 12*r**4 - 6395*r + 6427*r + 36*r**5 + 20 - 68*r**3 = 0. Calculate r.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 101864 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6\/15*11 - 2\/5. Solve 2*q = 2*g + 10, 5 = l*q - 0*g + g for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g**3 + 5*g**2 - g + 2. Let b be s(-5). Let d(v) = 2*v**2 + v - 4. Let o(j) = 4*j**2 + j - 9. Give b*d(k) - 3*o(k).\nAnswer: 2*k**2 + 4*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 3*j**2 + 4*j + 4. Let y(o) = -4*o**2 - 5*o - 5. Let n be (2\/2 - 4) + 7. Let w(l) = n*y(l) + 5*c(l). Factor w(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 750.9894ng?\nAnswer: 0.0000000007509894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 223 minutes before 6:21 AM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + -3*sqrt(320)*1)*-1)**2.\nAnswer: -144*sqrt(5) + 2889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/5*20\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 189 - 190.83. Let n = 1.7 + b. Let r = n - 1.47. Round r to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 174*u - 1266. Does 9 divide j(38)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1107\/4264*26 - 375\/4.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 120 a factor of 1502126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ufu when three letters picked without replacement from uvvufvvvf.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 280 = -24*c. Let v(h) = -12 + 22 + 5*h**2 - 10. What is the smallest common multiple of c and v(-1)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -16*p - 5. Suppose -1 = -2*q + 9. Let y(o) = -8*o - 2. Let r(x) = q*y(x) - 2*v(x). What is r(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -109 - -165. Find the third derivative of j**5 - 75*j**3 - 151*j**2 - g*j**3 - j**5 + 3*j**5 - 4*j**5 wrt j.\nAnswer: -60*j**2 - 786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the first derivative of b**3\/3 - 4*b**2 + 4*b - 2. Give d(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00021037526 to 6 dps.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-11)\/2)\/((-6)\/84). Let n = 51 - y. Let j be (-4)\/n - (-500)\/130. Solve -a + 6 = -j*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 694340 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k - 3. Let z be q(5). Suppose -19 = u + 5*j + z, -u - 4*j = 18. What is the common denominator of -3\/5 and (2\/u)\/((-40)\/204)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zz when two letters picked without replacement from yzyz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3 + 46587?\nAnswer: 46601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/((6\/161)\/(95\/((-20615)\/(-62)))).\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 100 + -98. Which is the third biggest value?  (a) 2\/7  (b) m  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the first derivative of -32\/9*x**3 + 0*x - 9 - 4*x**4 - 2\/9*x**6 - 8\/5*x**5 + 0*x**2. Factor u(h).\nAnswer: -4*h**2*(h + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 6 - 325140?\nAnswer: -325131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 21073172 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -25 + 27. What is the third derivative of 4*w**4 - w**2 + w**2 - 4*w**y + 3*w**4 wrt w?\nAnswer: 168*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -961 or -960?\nAnswer: -961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 7 - (2 + 2) - -1. Sort u, -3, 0 in ascending order.\nAnswer: -3, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 2*f - 6 = 0. Let i(n) be the third derivative of n**6\/120 + n**5\/12 + n**4\/8 - n**3\/2 - 3*n**2. What are the prime factors of i(f)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2064 is divided by 122?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 10 + 4. Let t = d - 14.1. Sort 1\/3, 0.4, t in ascending order.\nAnswer: t, 1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 91993 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3543358?\nAnswer: 2, 7, 13, 19469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = v. Let q = -45 + 23. Let g be (-4)\/q + 184\/(-44). Calculate w(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that -4*f**5\/7 + 3576*f**4\/7 - 17792*f**3\/7 + 10648*f**2\/7 + 17796*f\/7 - 2032 = 0.\nAnswer: -1, 1, 4, 889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5\/9 and -71\/5533476.\nAnswer: 16600428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = -2 + 6, -2*l - 5*n + 150 = 0. Let p(j) = -j**2 - 5*j - 3. Let u be p(-3). Suppose q - l = -5*s, u*q = -2*q. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - g = 39965, 2*g + 7993 = c - 0*g. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -136*n - 66*n + 1 - 571*n in the form a*n + l and give a.\nAnswer: -773","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1059585\/122 + 8685. Let p be -61 - -222 - 1*-1. Find the common denominator of q and p\/(-8) + (-7 - 135\/(-18)).\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -14*k + 18. Determine a(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1607 + 5902. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35 is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*((sqrt(612) + -3)*2 + sqrt(612) + (sqrt(612) - -3*-5*sqrt(612)))*-4)**2.\nAnswer: 114048*sqrt(17) + 10668672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -291*c*v**3 + 5*v**3 - 3 wrt c?\nAnswer: -291*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 6*r**2 - 18*r - 2. Let j(b) = 41*b**2 + 8*b + 22. Let t(i) = -15*i**2 - 3*i - 8. Let f(p) = 4*j(p) + 11*t(p). Calculate -d(o) - 5*f(o).\nAnswer: -o**2 + 23*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 138915.7 nanoseconds to milliseconds.\nAnswer: 0.1389157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of (324\/(-1890))\/(1\/7)*201680\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 56 + -14bdd?\nAnswer: -14b87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = s**3 + 2*s**2. Suppose 3 = -o + 2*o. Suppose 2*y + 4*r = -y - 18, -o*y + 2*r = 0. Let d be l(y). Solve 0 = -5*k - d + 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 2 = 16. Find the common denominator of -181\/30 and (41\/f)\/(5\/15).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5\/(-2))\/((-7)\/6)?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + d + 6 = 0. Suppose -d*g = -4 - 20. Let n be g\/(((-21)\/(-20))\/(-7)). Round n to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*x - 225 = -195 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*s**4 - 4*s**2 + s**4 + 2*s**2 - s**3 + 5*s - 4*s in the form h*s + r*s**2 + o*s**4 + l + c*s**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2663334 and 744?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 62661 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*v + 2*v + 2*v)*(417*v**4 + 30 + 419*v**4 - 841*v**4).\nAnswer: -35*v**5 + 210*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tpjt when four letters picked without replacement from {g: 3, j: 1, t: 2, n: 1, p: 3, k: 1}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -c4432 + c7?\nAnswer: -c4338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 540860*j + 2163439. What is l(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16.873 - -31993237.\nAnswer: 31993253.873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 10*p**3 + 12*p**4 - 46*p**2 + 95*p**2 - 45*p**2 - 2 as u*p**3 + b*p**2 + m + x*p + k*p**4 and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3 - ((-4)\/6 - 1070\/(-300)). Which is the smallest value?  (a) -0.01  (b) -2\/5  (c) j  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**0)**6)**(-31)*(v**2*v**(-3)*v)\/(v**(-1\/2)*v**(-3\/7)\/v) assuming v is positive.\nAnswer: v**(27\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -163*l**3 + 2*l + 18 + 345*l**3 - 18 + 2*l**4 - 163*l**3 as q*l**2 + u*l + h + c*l**4 + x*l**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 70 (base 10) to base 3\nAnswer: 2121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.79 + 3.79. Which is the biggest value?  (a) -4  (b) u  (c) 5  (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 times -882243\nAnswer: -88224.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 43326263 to the power of 1\/4, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9276\/11 - -1691\/2. Let t be (-20243)\/13748 - 8\/(-4). Let d = t + 4\/491. What is the common denominator of p and d?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 0*s = 3*s, -3*l + 2*s = 0. Let p(o) = -70*o - 5. Let h be p(-4). Suppose l = -5*w + 185 + h. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -205*a + 205*a + 12*a**2 in the form k + y*a**2 + s*a and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**3 - 4*z**2 - 10*z - 7. Calculate o(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 294 = 5*s - t, -4*s - 3*t - 249 = 0. Let j = 28 - s. Is j a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 4) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the third derivative of 29*w**5\/30 - 13*w**4\/3 - 29*w**2 + 3*w. What is the second derivative of m(l) wrt l?\nAnswer: 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 485926 by 3983.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -1, 2, -23 in descending order.\nAnswer: 2, -1, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -2\/19, -1, -0.5 in decreasing order.\nAnswer: -2\/19, -0.5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 40 and 232?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4513 - -613?\nAnswer: -3600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r**4\/5 - 1372908*r**3\/5 + 3569668*r**2 - 48053796*r\/5 - 13455008 = 0 for r.\nAnswer: -343240, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 248*((-585)\/(-20))\/(-3). Let x be (-10)\/(-35) + y\/(-14). Suppose -x*z + 172*z = -4. Solve z*n + 0 - 8 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -4, 68, 3, 4, 10 in descending order.\nAnswer: 68, 10, 4, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 365 a factor of 114095715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -16697\/3036 + 21\/253. Calculate the common denominator of 12\/31 and z.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v**3\/7 - 11988*v**2\/7 + 72144*v\/7 + 864000\/7 = 0. Calculate v.\nAnswer: -6000, -6, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/115 + (-116)\/(-23)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -37429 or -37430?\nAnswer: -37429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 338599?\nAnswer: 19, 71, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -130*f*x - 329*f - x - 7 with respect to x.\nAnswer: -130*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = y - 3*m - 6, -7 - 4 = -2*y + 5*m. Calculate the lowest common multiple of (-1722)\/(-30) + (-15)\/((-675)\/(-18)) and y.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5140.15ml to litres.\nAnswer: 5.14015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 284, 286, 288, 290, 292?\n\"Answer: 2*z + 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/10 in -2\/3, 0.62, -0.4, -9\/31, -0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -484.9 and -0.5.\nAnswer: 242.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 26096 and 10080.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*m**2\/3 + 13288*m\/3 + 93604.\nAnswer: -4*(m - 3343)*(m + 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2\/2759 + -151749\/5518. Find the common denominator of -51\/10 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -51, -30, 5, 60, 141?\nAnswer: 254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = 3*z - 27, 5*b = -8*z + 3*z + 70. Suppose -b = -3*s - 0*o - 3*o, 4*s = 4*o - 20. Let q(k) = 3*k + 15. What is the units digit of q(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 5 + 1 = 0. Let d = -0.6 + 1. Which is the nearest to y?  (a) 0  (b) d  (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3.130652l?\nAnswer: 3130.652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -3 + 0 + 2. Let s(v) = -v + 1. Determine n(f) + s(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1 + -476?\nAnswer: -475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 50 - 55. Let n(r) = -9*r**3 + 6*r. Let u(p) = -8*p**3 + 5*p. Determine a*n(t) + 6*u(t).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 811.0039 rounded to the nearest 10?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(1\/10)*d)\/d*d*d**(2\/5))**(1\/2) assuming d is positive.\nAnswer: d**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 293 or 296?\nAnswer: 293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 49511 and 3663.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g - 4*g. Let h be 5*(1 + g)*1. Let u(v) = 32*v**3 + v**2 - 5*v. Let f be u(h). Round f to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (0 - -6 - 0) + -4. Suppose 12*t - c*t = 16570. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) be the third derivative of 8*a**5\/15 - 11*a**2. Let t(d) = 3*d**2. Determine r(t(o)).\nAnswer: 288*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 263251.7 years to centuries.\nAnswer: 2632.517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3.4 + -5.5. Let f = -7.768 + 9.86725. Let n = f + u. What is n rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.2 - 1.8. Let k = u + 0.5. Which is the closest to k?  (a) 3  (b) -4  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-48)*-4*((-770)\/(-35) - -43)?\nAnswer: 65\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -610517, -610566, -610607, -610634, -610641, -610622, -610571, -610482?\nAnswer: -610349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = -3*v - 23822 + 117184, 0 = 4*v - r - 124485. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*s**3 + 0*s**3 + 4*s**3 - s**3 + s**3 - 2*s**3 + (-68*s**2 - 53*s**2 + 18*s**2)*(2*s + 10*s - 5*s).\nAnswer: -725*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -365 - -365.1772. Let l = m + 76.7228. Round l to the nearest integer.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fykyss. What is prob of picking 1 y and 2 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -f**3 + 8*f**2 + 6*f - 111. Determine v(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 180651 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c + 7 = 6*l - 1 + 96, 5*l + 0*c = 3*c - 59 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 128 divide 998219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(32) + -2 - (sqrt(2) - (sqrt(50) + 3))) + -4*sqrt(2) + -3 + -5 + 5.\nAnswer: -2 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (8 + -6)*(0 - -1). Suppose f*h = -0*h + 78. Calculate the remainder when h is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 5440*k*z - 2*k - 698 wrt z.\nAnswer: 5440*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*i + 2*z = -4*i - 7984, -1978 = -i + 5*z. Let b = i - 1318. Does 85 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -6 + (-2 - -13) + -5. Suppose v = 26*k - 129927 - 113563. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2617870407 and 7698?\nAnswer: 3849","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 0.41, -1, 1 in increasing order.\nAnswer: -1, 0.41, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -99300 or -99303?\nAnswer: -99303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the second derivative of a**6 + 3*a**5\/20 + 62*a**3\/3 + 2*a + 39. What is the second derivative of u(o) wrt o?\nAnswer: 360*o**2 + 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 73 + -76. Let v(r) = -2*r**2 - 2*r + 6. Let c be v(b). Let m(h) = -h. Calculate m(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -4*t**3 - 88*t**2 + 51*t - 17. Does 78 divide j(-23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*i**2*u**4 + 18412800*i**2 - 3308601*u**3 wrt u.\nAnswer: 8*i**2*u**3 - 9925803*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*r = 15*r. Suppose -2*j + 5*u - 1 = -r, -5*u = 4*j - 73. What is the least common multiple of 14 and j?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = -2*g + 12. Suppose 37*f - 115 = 9*f + 5*f. Solve -g*k = f + 4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1008)\/(-45)*115*46\/2116\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x**2 - 7*x + 5. Let c be p(-6). Let n = c - 5. Calculate the remainder when 15 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5\/12?  (a) 5  (b) -3  (c) -2  (d) -8  (e) 0.14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1 - 7377)\/(4\/(-20)). Let s = j - 23880. What is s rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vzzvzzzvzz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*f**2 - 2*f**2 + 177 + 36 + 219 to x*f + v + q*f**2 and give v.\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 133b8b + -21?\nAnswer: 133b6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18 = 2*x + 2*o, 0 = -5*x + 5*o - o for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 303131 + 4*c**2 + c - 302922 - c.\nAnswer: 4*c**2 + 209","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2068*d**4 + 564*d**3 - 3117542*d.\nAnswer: -24816*d**2 + 3384*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(114)\/sqrt(6)*2 + sqrt(19) + sqrt(19) + (sqrt(209)\/(-3*sqrt(11)))**2.\nAnswer: 19\/9 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.06070823 to 4 dps.\nAnswer: -0.0607","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w**3 - 6*w**2 - 5*w. Let l be u(-1). Let m = 89.2 - 85.2. Which is the closest to 1?  (a) 0.7  (b) l  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -17*f**2 + 71*f + 73. Determine y(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1520*s**2 - 345*s**2 + 2 - 1 - 1 - 599*s**2.\nAnswer: 576*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vmuu when four letters picked without replacement from iuczvcmu?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**3 - 10*y**2 - 89*y + 502. Let n be h(14). Solve n*o = 13*o - 27 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1908630?\nAnswer: 2, 3, 5, 7069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-16 + (-495)\/(-27) - 4) + (-3)\/(-2)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -134*n + 702 = -137*n. Let a = 280 + n. Calculate the smallest common multiple of a and 2.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1231486027 to the power of 1\/5, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-220)\/(-48) - -1 - (-4)\/6. Let j = i - 19\/12. Let x = -58\/15 + j. What is the biggest value in -0.3, 0.2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 189\/18 - (-2)\/4. Solve n + 4 = 3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -155*q**3 - 15*q**2 - 39*q - 19. Is d(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -118706 (base 10) in base 7?\nAnswer: -1003040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 91 divide 1965261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -36 + 75. Let z = -25 + n. Let g(f) = 13*f - 19. Is g(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**8)**(4\/25))**(2\/85) assuming g is positive.\nAnswer: g**(64\/2125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8 - 1) + ((-50)\/125)\/(58\/3335)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 61373\/1573 - (-548)\/(-33154)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-220 + 476 - 84 + (1 - 1 - 1)*(2 - 1 - 3) + 3 + 1 - 2)*(-2 + 2 - r) + 1 - r - 1 in the form y + u*r and give u.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 265818*u + 1205810*u + 1105362*u.\nAnswer: 2576990*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*l**3 + 5*l**3 - 2*l**3 + (-56 - 17*l**2 + 56)*(5*l + 4*l - 30*l) to the form p*l**3 + o + v*l + r*l**2 and give p.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -10235 + -113?\nAnswer: -10352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*y - y + y)*(40 - 7*y - 40 + (y - 4*y + y)*(-3 + 4 + 1)) as o*y**2 + n + r*y and give o.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 299 = 244*t - 286 - 635 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 26692940 and 24345?\nAnswer: 2705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y**2 + 2*y - 3. Let v be i(2). Let f = -44 + 49. Suppose 5*a + 4 = -n + 19, -f*a = -n + 15. Solve -v + n = 2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 80*q**2 + 166954*q**3 + 1024 - 456*q - 166958*q**3 - 56*q.\nAnswer: -4*(q - 8)**2*(q - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2728088 to the power of 1\/3, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m\/(m**(-8\/7)*m)))\/m*m**(-1\/6))\/((m**(1\/8)\/m)\/(m*m**(1\/23))) assuming m is positive.\nAnswer: m**(2353\/3864)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-33)\/(-121) + (-429)\/2904?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -356 - 182 + 17 + 387*p**4 with respect to p.\nAnswer: 1548*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 19 + 7 + -32 + 17 - 21\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*f**2 - 262416*f = 0. What is f?\nAnswer: 0, 131208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**4\/11 - 1064*t**3\/11 + 14602*t**2\/11 - 50764*t\/11.\nAnswer: 2*t*(t - 518)*(t - 7)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 661 - -69289?\nAnswer: 6992a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*y**3\/4 - 26619*y**2\/4 - 6654*y.\nAnswer: -3*y*(y + 1)*(y + 8872)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -313642 or -313634?\nAnswer: -313642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 58951789 to the power of 1\/2, to the nearest integer?\nAnswer: 7678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 = -5*j - 4*y, -9 = 3*j - 4*j + 2*y for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that -3*g**4\/2 + 36144*g**3 - 10290957*g**2\/2 + 181076904*g + 186258528 = 0.\nAnswer: -1, 72, 23953","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 2, e: 3, q: 1, a: 4}. Give prob of sequence arq.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that 2*r**4 + 33320*r**3 + 1662250*r**2 + 20762500*r = 0.\nAnswer: -16610, -25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*c**5*v + 53*c**5 + 915*c**2*v wrt c?\nAnswer: 120*c**2*v + 3180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6198 and 144620.\nAnswer: 433860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 51555827\/10 - 5167476. Let p = a + 11903. What is the common denominator of p and ((-226)\/(-3))\/(13 + -25)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 207 = 5*z + 172 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 25.2 - 26. What is the biggest value in 1, g, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 142848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that -2*k**4\/21 + 226*k**3\/21 - 7750*k**2\/21 + 10226*k\/3 + 26520\/7 = 0.\nAnswer: -1, 17, 45, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -159 + 144 - (-7 + 2 + 1 + -1)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 176 is divided by 60?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -90 or -446\/5?\nAnswer: -446\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 3, -8, 5 in increasing order.\nAnswer: -8, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**3 + r**2 + 10*r - 3. Let i(w) = 2*w**2 + 3*w + 3. Let h be i(0). Calculate u(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 651 and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (108\/15)\/((-652)\/2445)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 9 = 4, 5*g - 2 = 3*v. Which is bigger: -314 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -d - 5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 10*m + 3. Let p(h) = 2*h**2 + 5*h - 6. Let z be p(3). Suppose 0 = 10*g - 19*g - z. Calculate l(g).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -2*s**2 + 0*s**2 + 0*s**2. Suppose 3*p = -3*h - 12, 6*p - 5*p - 16 = 4*h. Let r(v) = 2*v - 4*v + p*v. Give c(r(g)).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -523825027.3 rounded to the nearest one hundred thousand?\nAnswer: -523800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -10011221 (base 3) to base 7\nAnswer: -6523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 150059539 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -90*k**3 - 15*k - 30*k**3 + 11*k + 2*k + 2 + k in the form q + t*k + z*k**3 + c*k**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sum 8370998.2 and -0.08.\nAnswer: 8370998.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1025.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -2475, -2478, -2483, -2490, -2499, -2510?\n\"Answer: -m**2 - 2474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 72 and 26944?\nAnswer: 242496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*o + 12*o = 48. Is -77 at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32508 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -4*l - 43. What is s(8)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 6*f**2 - f - 1. Let a(j) = -646*j**5 - 57*j**2 + 78*j + 11. Let t(i) = a(i) + 11*d(i). Find the third derivative of t(l) wrt l.\nAnswer: -38760*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2051 (base 11) to base 13\nAnswer: -1311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (3 + -4)\/((-1)\/135). Let j be ((-3)\/5)\/((-9)\/h). Let u(p) be the third derivative of -p**4\/12 + 5*p**3\/3 - p**2. Give u(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.27 + -0.03. Let v = -1.993 - -0.013. Let h = -0.02 + v. Put -1\/3, h, u in decreasing order.\nAnswer: u, -1\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4834.4462 to the nearest integer.\nAnswer: -4834","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from kucccccxuu?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 368 and 15690.\nAnswer: 2886960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 101022 - 2202110121?\nAnswer: -2202002022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rx when two letters picked without replacement from tqtrtqrtrxxtrtmqqtt?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the second derivative of 0 - 3*l + 0*l**3 - 1\/12*l**4 + 0*l**2. Determine x, given that b(x) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16290000 rounded to the nearest one hundred thousand?\nAnswer: -16300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*l = 8*l + 77 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 106.45 + -109. Let h = 0.2 + -0.65. Let i = h + x. Which is the biggest value?  (a) i  (b) -1\/6  (c) 1  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9 - 3. Suppose -d = -2*d + v. Let i be 0 + -1 + 3 + d. What is i rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -2\/8859?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 3 + 11 - 780*p - 2.\nAnswer: -780*p + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve q - 4*f = -14, -4*q - 4 = -9*f + 6*f for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*p**3 - 2*p**3 - p**3)*(-290 - 123 - 33 - 234) to the form w*p**2 + z + f*p**3 + l*p and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2999 = -5*k + 12*k + 1004. Calculate the remainder when k is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 1 = -5*x, 3*x = w + 2*w. Suppose -3*o + x = -5. Which is the nearest to -1?  (a) o  (b) 5\/6  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 90 - -1*8\/(5 + -1). Let g = l + 399. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 2, c: 3, m: 3}. What is prob of sequence mmm?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1a481 (base 13) to base 7.\nAnswer: 302412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -693, -676, -643, -588, -505?\nAnswer: -388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 4*b. Let r(f) = -f**3 - 7*f**2 - 7*f - 6. Let v be r(-6). Suppose 4*p = h + 4*h + 37, -h - 5 = v. Calculate the remainder when 34 is divided by m(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 8, s: 2, j: 2, e: 3, a: 5}. What is prob of sequence ja?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.02, -13, 3, 2.\nAnswer: -13, 0.02, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 2*r**2. Let g(o) = -1750*o. What is g(n(d))?\nAnswer: -3500*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1140*r**3 - 213*r**3 + 2051*r**3.\nAnswer: 2978*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 866\/91 - 120\/13. What is the third smallest value in s, -6, -15?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7611 - -40766. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) 0  (b) 5  (c) -3  (d) 51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4281 + -995. Is 62 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 59.3 - 59. Let j = s - -0.7. Let k = 3\/104 - 241\/1144. Which is the third biggest value?  (a) j  (b) -3  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/18*9*-9*2\/27.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 5, k: 2, y: 3, h: 9}. What is prob of picking 1 k, 1 w, and 2 y?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(5\/7)\/w**14)\/((w*w**(-19))\/(w\/w**10*w)) assuming w is positive.\nAnswer: w**(-23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -5*i + 1. Calculate s(-11).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8641*w**2 + 636*w - 192*w - 250*w - 194*w.\nAnswer: -8641*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 248 in 8, 56, 46?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (540\/18)\/(((-918)\/(-2040))\/((-6)\/5)).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 19683 + -1642. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -4*c**3 - 36*c**2 - 18*c - 180. Calculate h(-9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 27 - 24. Let b(s) = 4*s**2 - 5*s + 5. Let u be b(j). What is the highest common divisor of 39 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**4\/5 - 23*j**3\/5 + 24*j**2 + 144*j\/5.\nAnswer: j*(j - 12)**2*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.075956363 to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -568219707, -1136439412, -1704659117, -2272878822?\nAnswer: -2841098527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(3 + sqrt(19) + sqrt(19))*5)**2.\nAnswer: 2700*sqrt(19) + 19125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 4, b: 4, n: 9, m: 2}. Give prob of sequence nbub.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2510112 or -2510099?\nAnswer: -2510112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 39\/(-78) - (2\/4 - 1). Let z(i) be the third derivative of 0*i + 2\/15*i**5 + 0*i**3 + 2*i**2 + r + 0*i**4. Let n(k) = -2*k. What is n(z(q))?\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ppxpppxppppx. Give prob of picking 2 x and 2 p.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + 9 + (2 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 8189*l - 418. Let h(t) = 117*t - 6. What is 418*h(q) - 6*k(q)?\nAnswer: -228*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 6222945 at most 6222955?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -47*k**3 + 13 - 13 + 61*k**3 - 53*k**3.\nAnswer: -39*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 11968362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -31 + 56. Suppose 5*z = -5*a + p, -4*z - 4*a = -8*z + 52. Let s(w) = w**3 - 10*w**2 + 12*w + 7. What is the tens digit of s(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*a - 15 = 169. Suppose 4870 = a*z - 7938. Is z a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 5*c + 51 = 0, -n + 2133*c - 2128*c = -57. What is the remainder when 75 + (1 - 0\/2) is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - a = 8*c - 242, -4*c = 5*a - 341. Suppose -30 = -h - 5. Let k = 45 - h. Calculate the remainder when c is divided by k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1192102 - -66?\nAnswer: -1192047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (110*6\/(-225) - 6\/(-10)) + 6. Suppose -2*f + 3 = -5*o + 8, 3*f = 3*o + 6. Is o not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -12592329 - -6582329. Round y to the nearest one hundred thousand.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7088*t + 42825 = 24012 - 144211 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 6834777381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 50366632 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/9  (b) -0.5  (c) 3451  (d) -32\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 45\/721 and -71\/42642?\nAnswer: 298494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 7199 divided by -23\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 + t - 2)*(2 + 2 - 5)*(301 - 852 - 1978 - 488) as l + z*t and give z.\nAnswer: 3017","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 16.1  (b) -8  (c) -5  (d) -1\/5  (e) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*t + 2*t**3 + 71 + 93 - 8*t + 2*t**2 to k + b*t**2 + y*t**3 + p*t and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hk when two letters picked without replacement from {k: 1, a: 1, l: 1, h: 2, x: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 30*f + 87. Determine h(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 20\/(-18)*12\/(-10). Let l = -1\/22 - -47\/66. Which is the closest to 2\/3?  (a) v  (b) l  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 1 + 1)*(1 - 1 + 2)*(h + h + h + (7*h - 3*h + 2*h)*(-1 - 3 + 3)).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -19698 + 19693. Put -8, 0, 2, -1, b in decreasing order.\nAnswer: 2, 0, -1, b, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.0338 times -279.16\nAnswer: 9.435608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-76 - 4*y - 301 + 224)*(2 - 2 + 4*y) to the form k*y**2 + j + v*y and give v.\nAnswer: -612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -2.4 - -29\nAnswer: 26.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*v + 97 - 69 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -19\/102 + 4169\/204. Find the common denominator of w and -35\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (0 + 3\/(-2))\/(1\/2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -5790 or 66464?\nAnswer: 66464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3946878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 560*h - 878036 = -845556 for h.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 67867?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -196\/3 - -66. Suppose 4*w + s - 6 = -s, 5*w + 4*s - 3 = 0. Suppose -4*h + 5*h = 0. Which is the closest to 0.2?  (a) w  (b) h  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -198715.113 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/20*5\/(-3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 788383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 12 = 8*t. What is the hundreds digit of (-1910)\/10*(-3)\/6*t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -20 - -1657.\nAnswer: 1637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 4473466 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4 + -b270?\nAnswer: -b26a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2783361992 to the power of 1\/3, to the nearest integer?\nAnswer: 1407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5 - -25. Let g = p - 17. Calculate the remainder when g is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 3\/40 of a century?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -39\/2 and (-4)\/(-8) + 13\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 573 minutes before 8:58 PM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 6 - 6 + 5*n - 179*n - 188*n + 213*n + (2 + 4 - 3)*(0 - 1 + 2)*(-n + 2*n + 0*n) + 4*n + 4*n - 5*n as o + b*n and give b.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(1375)*-2)\/(sqrt(5) + 2*sqrt(80) - (sqrt(320) + -2*sqrt(320))).\nAnswer: 60*sqrt(11)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3300103 + 722?\nAnswer: 3301025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2065823 is divided by 792.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28520*c + 49500 = -28515*c. What are the prime factors of c?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 366.921 - 418.94. Let s = -0.019 - r. Let m = s + -53.7. Which is greater: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in j**3 - 19*j**2 + 41*j**2 - 22*j**2.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 24748781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 611 minutes after 12:08 AM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (593 - 973 - 2240 - 1407)*(0*z + 0*z - z**3).\nAnswer: 4027*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that -45*v**3 - 372410*v**2 + 827780*v - 165560 = 0.\nAnswer: -8278, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -6 + 4 - -3 - -22. Suppose 3*d + 3*k = 30, -9*d + 4*k + z = -4*d. Suppose 6*v - d = 5. Solve 4*h = 4*x + 8, -5*h - x + 2 = v*x for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 4*h + 0 = 8, 0 = 3*n - 3*h - 9. Suppose d + n = 2*g - 1, g - 9 = 3*d. Suppose g = -6*f + 10*f - 32. Put -1, -5, f in decreasing order.\nAnswer: f, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -214546436 (base 7) to base 5.\nAnswer: -11301412121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 264 = 8*g - 2*g. Suppose 43*t - g*t = -397. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -5118, -5116, -5114, -5112, -5110, -5108?\n\"Answer: 2*p - 5120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*f = 1448 - 728. Let u be (f\/20 - 4)*-45. Factor 6*k - 1\/2*k**2 - u.\nAnswer: -(k - 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-123*z + 123*z + 11*z**2)*(15*z**2 + 142 - 142).\nAnswer: 165*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 31861624 to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2420*p**3 + 24998996*p**2 + 9090304*p + 826384.\nAnswer: 4*(5*p + 51649)*(11*p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 85 a factor of 108903105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 835 = 833?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -0*s - 10. Let a(z) = 2*z - s*z - 4 + 0. Is a(-8) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4 and 2707?\nAnswer: -10828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-6)\/4 - (-1 + -1). Let v = 9.6 + -9.6. What is the second smallest value in h, v, -7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 214479723409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (22\/(616\/(-49)))\/((-1)\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 612 or 16519\/27?\nAnswer: 16519\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1377 divided by 27?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve i + y = 4, -2*i - 6906 = 5*y - 6923 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 703*z**6 - 136*z**2 - 1?\nAnswer: 84360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the third derivative of -h**4\/24 - 2*h**3\/3 - 26*h**2. Let m be a(-4). Solve 2*d + 2*d + 20 = m for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2203 + -405?\nAnswer: 1354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -5*r + 426. Calculate the common denominator of r\/(-24)*(-2 + 0) and 23\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m**2 + 6*m + 2. Give n(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 58, 427, 796, 1165, 1534, 1903?\n\"Answer: 369*m - 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 273586 and 1257266?\nAnswer: 3074","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 533\/(-123) + 0 + 4. Which is bigger: 0.077 or v?\nAnswer: 0.077","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 4 = -0. Suppose 2*l - 1 + 5 = 2*x, 0 = 2*x + 5*l - 32. What is the second derivative of r*m - 2*m - x*m**2 + 2*m wrt m?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 13\/8 of a decade?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 813290.1 nanograms to grams.\nAnswer: 0.0008132901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*h - 4*x = 9*h + 535635, -h = -4*x - 107111. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6 - 2. Let n be (36\/15 + -2)*10\/12. What is the closest to n in 1\/2, 0.4, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 421 minutes before 1:01 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 11, -2, -0.5, 6, -2843, 3\/4 in ascending order.\nAnswer: -2843, -2, -0.5, 3\/4, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 37081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(171) + 2)*-5 + (sqrt(1216)*4 + sqrt(1216) - sqrt(1216)) + 3)*-2)**2*-1*6.\nAnswer: -132960 + 5712*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 10*z**2 + z. Let b be r(1). What is the greatest common factor of 55 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -t + t + 4487*t**3 - 11900*t**3.\nAnswer: -7413*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, -238559\/683, -1 in increasing order.\nAnswer: -238559\/683, -1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 12 = 2*m + 2, 3*z + 30 = -m. Let i = 6\/439 - -9544\/8341. Calculate the common denominator of i and 0 - (413\/z + 2\/(-10)).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y**2 + 4*y. Let i be w(-5). Let b(a) be the second derivative of -a**4\/12 + a**3 + 3*a**2\/2 + a. What is the units digit of b(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + 1 + 4\/4 + 231\/(-21)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2929 is divided by 730.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the third derivative of 0*x + 11\/6*x**4 - 1\/6*x**3 + 0 - 3*x**2. Is s(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 95752964 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*p - 7*u = 271, -37018*p + 37020*p + 4*u + 128 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = p**3 - 17*p**2 - 20*p + 27. Determine i(18).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -43*i**3 - 2*i**2 - 2*i + 2. Let r be d(-2). Let q = 150 + r. Suppose 3549 = 9*g - q. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that 2*h**3\/5 - 58*h**2\/5 + 368*h\/5 - 672\/5 = 0.\nAnswer: 4, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.3604161 to 4 decimal places.\nAnswer: 0.3604","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 51454477?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-4)\/3)\/(-4*3\/18). Let o(m) = u*m + 2*m**2 + 9 - m**3 - 12 - 5*m**3 + 8*m**3. Give o(2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 206998770 by -1.\nAnswer: -206998770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 168 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-6)\/(-45))\/(9\/15). Let v = 7 + -4. Which is the closest to -0.2?  (a) z  (b) v  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -o**3 - 5*o**2. Let n be f(-5). Suppose n = 4*r - 8. What are the prime factors of (r\/(-6))\/((-2)\/24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 6 + 4*s)*((0 - 2 + 0)*(1 - 4 + 1) + 3 + 0 - 1 + 28 - 202 - 59).\nAnswer: -908*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 33\/(-154) - (-11775)\/70 and 30.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5997 is divided by 5997?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 11) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 21, 32, 53, 90, 149, 236?\n\"Answer: z**3 - z**2 + 7*z + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 255 + -216. Suppose -16 = -43*x + i*x. Solve p = x*m - 1 - 4, -2*p + 4 = -m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in -5\/6, -1\/11, -44?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 11\/2 of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 36  (b) -3\/7  (c) -5  (d) 5  (e) -4  (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = s - 3*i - 5, 0 = 2*i + 2. Solve s = -0*j + 3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (94\/(-470))\/(-1*(-2)\/(-30)). Let d(l) = 5*l**2 + 3. Let k(g) = 4*g**2 + 2. Give s*k(y) - 2*d(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 5 - (0 + -4) - (-22 + 23)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 47\/4 of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = 97 + 67. What are the prime factors of x?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10661\/1 + (-108)\/27 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-7)\/42)\/(-36*7\/(-168))*81\/(-2)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 52.31 + -47.31. What is the closest to 2 in 2\/557, -2\/11, k?\nAnswer: 2\/557","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11595 is divided by 143?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001815 rounded to 5 dps?\nAnswer: -0.00182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -2*x**2. Suppose 3*n - 5*n + 4 = 0. Let j(c) = 45 - 45 - n*c. Give j(s(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4\/6*(-36)\/(-8). Let x be (2\/t)\/(-1) + 50\/3. Suppose -2*v + 23 = -169. What is the highest common factor of v and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 72 - 146. Let j = l + 73.83. Which is smaller: 0.1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**3 + 21*o**2 - 29*o + 14. Determine r(-21).\nAnswer: 623","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - (-2 + 6)) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 83097 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 658112.\nAnswer: 2, 7, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -230, -944, -2104, -3686, -5666, -8020?\n\"Answer: 4*a**3 - 247*a**2 - a + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -815258 + 33*l + 0*l**2 + l**2 + 815194. Calculate d(-35).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10 + 2311233?\nAnswer: 2311303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -810, -5, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1026119 is divided by 444?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the second derivative of 2*s**3\/3 - 71*s**2 - 2*s - 198. Let d(b) = -b**2. Calculate z(d(c)).\nAnswer: -4*c**2 - 142","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -908, -975, -1094, -1271, -1512, -1823, -2210?\n\"Answer: -r**3 - 20*r**2 - 887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*v**2 - 84*v**3 - v**2 - 3*v + v**4 + 2*v**2 + 73*v**3 as w + g*v**3 + o*v**4 + j*v + a*v**2 and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (28 - 43 - 39)*(-11*i + 33*i + 53*i).\nAnswer: -4050*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11265560 is divided by 1941?\nAnswer: 1937","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5140074.\nAnswer: 2, 3, 743, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 180065\/4114 + -744\/17. Do -1 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.2 + -2.2. Let j = 0.02873 - -2.97127. What is the third smallest value in l, 3\/7, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11968 and 12160.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 49 - 110. Let u = 105 + q. Suppose -2*i = i - 2*g - 34, 0 = -4*i + 2*g + u. What is the smallest common multiple of 11 and i?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**2 - t - 1. Let z(u) = -9*u**2 + 8*u + 6. Give -6*s(p) - z(p).\nAnswer: 3*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -3 + 3 + -3 - 0. Let y(v) = -v**3 + 7*v**2 - 7*v + 2. Let f be y(6). What is the closest to -2 in 1\/4, q, f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hrihhrhhheih. Give prob of sequence erhi.\nAnswer: 7\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 928 is divided by 316.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p**3 - 8*p**2 - 9*p. Is z(-7) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1590.083187 + 1703.0831949. Let h = 113 - x. What is h rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 297371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -2437582 (base 9) to base 14\nAnswer: -2668bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:08 PM and 7:32 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2004 + 2006. Let l = -11 - -6. What is the closest to -40 in 0.3, w, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -436*y + 147*y + 151*y + 145*y. Let q(l) = -250*l - 1. What is q(m(t))?\nAnswer: -1750*t - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 3 - (0 + 2) - (312 + -312)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 1, c: 1, r: 1, q: 4, e: 8}. What is prob of sequence etqr?\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1470 - 433587?\nAnswer: -435167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 minutes before 11:29 AM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 8 = -3*v. Suppose -v*r = -4*p - 109 + 27, 0 = r + 4*p - 53. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(539)*3*-6 + (-2 + -2 + sqrt(539))*-3)**2.\nAnswer: -3528*sqrt(11) + 237843","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -13*z. Let w(g) = -33*g. What is s(w(o))?\nAnswer: 429*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*y**3 + 14*y**3 + y - 9*y**2 + 16*y**2 + 15*y**2 to the form w*y**3 + v*y + z*y**2 + f and give z.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 12\/5963 - -5855\/53667. What is the third biggest value in -1\/21, 2, z?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 38, 4, 0.09, -0.5 in ascending order.\nAnswer: -0.5, 0.09, 4, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 412 and 1052042?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 70\/3 - 23. Let v = 3 + -8. Let j(k) = k**2 + 5*k - 4. Let m be j(v). Which is the smallest value?  (a) m  (b) -3  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-9 - (-4 - -2 - -3)) + -173 + 167\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3 - 2\/((-8)\/(-92)). Calculate the remainder when 63 is divided by (-452)\/a + (-3)\/5.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1 and 471.\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by -26576477.\nAnswer: -4\/26576477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26 + 2*p**3 - 3 - 3*p**3.\nAnswer: -p**3 - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -5966 times 553?\nAnswer: -3299198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -26006, -28585, -31166, -33749, -36334?\n\"Answer: -h**2 - 2576*h - 23429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 249 minutes after 9:12 PM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(240)\/sqrt(12) + 0)**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 58848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(3\/4)\/(v\/v**(-13)) assuming v is positive.\nAnswer: v**(-53\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -30 - -33?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) be the third derivative of c**5\/30 + c**4\/8 - c**3\/2 - 2*c**2. Let b(r) = -1 + 4*r + r**2 + 0 - 3*r. Calculate 3*b(m) - t(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 39219918 or 39219932?\nAnswer: 39219918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 88*12967041.\nAnswer: 1141099608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 7 = -1. Suppose -15 = f - 5*p, -p - 23 = f + u*f. Which is smaller: -3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t**3 - 24*t**2 - 178*t - 782. Calculate r(-16).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -1, 16, 65, 164, 331, 584?\n\"Answer: 3*w**3 - 2*w**2 + 2*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n + 10 + 0 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 11 = 23. Let h(z) = -90*z - 20. Is h(k) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w + 32022921*y - 50 = 32022946*y, 0 = -w - 4*y - 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 124661995 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -2*p**2 + 9*p + 1. Calculate the remainder when 19 is divided by h(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -62218 divided by -9?\nAnswer: 62218\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (585\/26)\/(-15)*(-38)\/(-3). Let d = 5 + 22. Suppose -3*c - d = 27. Is u at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 times 416?\nAnswer: 2080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*p**3 - 2*p**3 - 4*p**3)*(2*p - 2*p + 2*p**2)*(0 + 2 + 0).\nAnswer: -16*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 210321 and 21.\nAnswer: 1472247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 106*p - 1084. Let m be v(18). What is the greatest common divisor of 721 and m?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 0.461 and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = -4*y - 30, 5*y - 2*y + 30 = -3*k. Let b(c) = -c**2 + 10*c - 6. Let i(g) = 6 - 10 + 7 + 6 - 8. Let s(j) = y*i(j) - b(j). What is s(9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*f**5\/3 + 88960*f**4 - 8903383666*f**3\/3 + 17804632324*f**2\/3 + 11871178232*f - 71222799376\/3 = 0. What is f?\nAnswer: -2, 2, 66719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37653*l + 4*l**2 + 37799*l - 124*l**2.\nAnswer: -120*l**2 + 146*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -534 + 529. Put 24, 2, a in decreasing order.\nAnswer: 24, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in seven halves of a century?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -26*(-12)\/(-30) - ((-6)\/(-5))\/(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-234)\/585)\/((-22)\/15)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -37437.4978 rounded to the nearest 1000?\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -25, 9, -1, -7, -344 in decreasing order.\nAnswer: 9, -1, -7, -25, -344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:41 AM and 4:09 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-128)\/1392*-29 + 16\/(-6). Solve 2\/3*l**2 + l**5 - 4\/3*l**4 - 5\/3*l**3 + 0*l + f = 0 for l.\nAnswer: -1, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -3*b**3 - 5*b**2 + 16*b + 42. Let a be p(31). What is a rounded to the nearest one thousand?\nAnswer: -94000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 71578 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 164 = -5*c + 171, -4*c + 5*q = -269. Let b be 1 - -3 - 4\/2. Is 6 a factor of b\/(6*2\/c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 168.847994*1\nAnswer: 168.847994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 9 = 0, -5*o + 776 = -2*c + 4*c. Suppose -3*l + 28 = o. Find the common denominator of (-29)\/l + (2\/4 - 1) and -65\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -6*z - 3. Let u be d(-1). Suppose -4*r - 5 = -u*r. Is (r - -4) + 1 - -317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -11*k**2 + 7*k. Let v be q(12). Round v to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17218657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00064870846 to 6 decimal places.\nAnswer: 0.000649","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.3792 and 5.83?\nAnswer: 2.210736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 3 - 6 = 3*t, 5*y - 1 = -2*t. Let s be (1\/(-2))\/(37\/(-333))*20\/45. Put t, -4, s in decreasing order.\nAnswer: s, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s and 1 t when three letters picked without replacement from {s: 4, w: 11, t: 4}.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -47430, -189197, -425476, -756267, -1181570?\n\"Answer: -47256*k**2 + k - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**2 - 274877*g - 274878.\nAnswer: (g - 274878)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 8*y**4 - 128*y**2 + 13*y + 12847230.\nAnswer: 32*y**3 - 256*y + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1046*j + 36 = 1052*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y**3 + 3*y**2 - 3. Let k(i) = 36 - 19 - 21 + 4*i**2. Calculate 4*j(o) - 3*k(o).\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -62141 + -1048?\nAnswer: -63200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*x**2 - 32 + 32 + (-1 + 1 - 2*x)*(6*x - 3*x - 4*x) + (0 + 0 - 1)*(1 + x**2 - 1))*(0*x**3 - 9*x**3 + 2*x**3).\nAnswer: -28*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {j: 5, f: 8}.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 3627*q + 80042. Determine m(-22).\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -222 and -0.984.\nAnswer: 218.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1  (b) 3  (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1 + 0 + 1 + 2. Find the common denominator of 3\/v*726\/(-135) and ((-1)\/8)\/((-4)\/140).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7 or 87\/11?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 11106 + -8757. Calculate the highest common factor of o and 729.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -21, -75, -3, 1 in increasing order.\nAnswer: -75, -21, -5, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 101 = 95. Solve -v + 6 = b for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 6200, 49911, 168636, 399875, 781128, 1349895, 2143676, 3199971?\n\"Answer: 6250*o**3 + 7*o**2 - 60*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -30\/21121?\nAnswer: -30\/21121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -a7 - 425?\nAnswer: -4cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2 + (-1 - 21\/27). Let q = -371 - -132. Let w = -235 - q. What is the nearest to -2 in -5, w, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 98*z**3 - 7*z**2 + z + 693. Let x(i) = 49*i**3 - 4*i**2 + i + 347. Let w(o) = 4*a(o) - 7*x(o). Differentiate w(j) with respect to j.\nAnswer: 147*j**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2105 + -1799. Let h(t) = -8*t + 2. Let c be h(-4). What is the highest common divisor of c and p?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 0 + -105672?\nAnswer: -105672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*q + 5*b - 35 = 3*q, -5*q - 21 = b for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 714 minutes before 1:42 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 444 minutes before 5:25 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.3 + 0.32. Let g = -0.02 + c. What is the nearest to g in -3, 0.3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*x + 64 = -13. What is the remainder when 29 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-13 - -8)*(-3)\/35. Let i = 0.956 + 0.124. Let s = -1.18 + i. Put s, -6\/7, k in descending order.\nAnswer: k, s, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 799 divide 970205560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the second derivative of 0*p**2 + 0 + 5*p + 1\/3*p**3. Let j(h) = 6*h**2. Determine g(j(i)).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l**2 - 9*l + 8. Let j be x(7). Let c be -1*j\/(24\/44). Suppose -115 = -c*b + 1282. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2599*i**3 + 88*i**2 - 2*i - 244*i**2 - 328*i**2 + 1 - 2598*i**3 in the form v*i**2 + h*i**3 + g + d*i and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 41132296949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f*f**6\/f)*f**2*f*f)\/(f**(-2)*f)**(-1\/23) assuming f is positive.\nAnswer: f**(-24\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 2*l**2 + 4*l. Let y(h) = -4*h**2 - 9*h. Let b(c) = -9*v(c) - 4*y(c). Let f(s) be the first derivative of -6*s**2 + 2. Give b(f(u)).\nAnswer: -288*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-four fifths of a millennium in years?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 47458288*p - 81254770.\nAnswer: 47458288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1950 and 750.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (54088*f**2 + 15047*f**2 + 963442682*f - 14715*f**2 - 963442682*f)*(-3*f**2 - 2*f**2 + 4*f**2).\nAnswer: -54420*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5 + 7. Suppose -4*p + g*b + 26 = 0, -5*b + b - 40 = -5*p. Find the second derivative of 0*i**3 - i**3 + i - 4 + p wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 265753, 265752, 265751?\nAnswer: 265750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 487 a factor of 3383530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 10800623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 3906294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2*-268.\nAnswer: 53.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2867859?\nAnswer: 3, 106217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 119117, 119115, 119113?\nAnswer: 119111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 0, 5, 126, -1 in decreasing order.\nAnswer: 126, 5, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 smaller than 55173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 1, 393, -1, -96, -2 in decreasing order.\nAnswer: 393, 4, 1, -1, -2, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 879799 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 4913.4 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 - -6001198\nAnswer: 6001198.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 42948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 33, 141, 331, 609, 981, 1453?\n\"Answer: v**3 + 35*v**2 - 4*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15083, 18123, 21165, 24209, 27255?\nAnswer: 30303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -42719737340 rounded to the nearest 1000000?\nAnswer: -42720000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -129 + 129 + 53*x - x + 0*x + 0*x + 2 + x - 2 + (1 + 0 + 0)*(x + 3*x - 2*x) + (-4 + 0 + 2)*(x + 2*x - 5*x).\nAnswer: 59*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-7)\/(-14)*-2)\/(4\/2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -39\/1158535 and -11\/331010.\nAnswer: 2317070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 3369*f**2 + 8*f - 2. Let p be y(1). Let g(d) = -p - 33*d + 3375. Let v(u) = -5*u. Determine v(g(z)).\nAnswer: 165*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/(-60))\/((-1497)\/(-2495))*-1*45?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 2*q - 3*q**2 - 10*q**2 + 5 - q**3 - 14*q. Let l be v(-12). Solve k - 4 = -3*m, l*m = -0*k - 3*k + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.436669121 and -1944929?\nAnswer: 1944929.436669121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1169339.89875 + -330.\nAnswer: -1169669.89875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (-86 + 86 + 2*j)*(4 - 6 - 6) in the form t*j + w and give t.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 10600000 rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(180) - (sqrt(180) + (1 + (sqrt(180) - (sqrt(180) + 4)))**2) - sqrt(180)) + -1.\nAnswer: -6*sqrt(5) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (28\/(-42))\/((-2)\/177). Suppose 60*u - 1835 = j*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 7\/186 and -79\/1674.\nAnswer: 1674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 33159783 to the power of 1\/3, to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 46143 is divided by 1922?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wdmdwuwmmwuddu. What is prob of picking 2 u?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -345 - -653. Suppose 90 + p = 2*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ob when two letters picked without replacement from {o: 3, e: 2, b: 1, v: 1, u: 7}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 35*j - 7. Let k(o) = o**2 + 7*o + 12. Let h be k(-5). List the prime factors of i(h).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v\/(v\/(v*(v*(v**(2\/25)*v)\/v)\/v))*v**21*v**(-4)*v**(-12) assuming v is positive.\nAnswer: v**(152\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 677554828?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ddiicddcdc. Give prob of sequence ddi.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -t**2 - t. Let s(h) = -h**2 - 7*h + 7. Let u(z) = 2*z**2 + 13*z - 13. Let n(f) = 11*s(f) + 6*u(f). Calculate -4*i(g) - n(g).\nAnswer: 3*g**2 + 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*u - 9*u = -270. Suppose 252 = 2*h + u*h. Is 2 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -16.886?  (a) -1  (b) -5\/6  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the third derivative of 1361*q**5\/120 + q**3 + 7*q**2. Let p(r) be the first derivative of k(r). Is p(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) be the second derivative of -1\/72*i**4 - 1\/18*i**3 - 3*i + 0 - 1\/12*i**2. Factor a(f).\nAnswer: -(f + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(2\/51))**20*((n\/(n*n**(2\/109)))\/n)\/(n\/(n*n*n**(-10)\/n*n*n)) assuming n is positive.\nAnswer: n**(-45773\/5559)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-4 + 85\/20)*76 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (45 - 37) + (5 - (22 - 3)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x. Let y(m) = 16*m. Suppose -3 = -p - 2. Determine p*y(s) - 8*k(s).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 393 = -7*n - g, -5*g = 2*n + 171. Let o = -84 - n. Find the common denominator of 117\/(-132)*12\/o and -13\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 299 a factor of 727168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*y**2 - 449*y**3 + 134*y**3 - y**2 - 382*y**3.\nAnswer: -697*y**3 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 54517*z**2 + 71650*z wrt z?\nAnswer: 109034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a**3 - 2*a**2 - a + 2. Is 3 a factor of b(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 - -2.6. Let f = 77379 - 77377. Which is the closest to f?  (a) 0.5  (b) 2  (c) 1\/5  (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 22620 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a**2 - 9*a + 79. Let y(q) = -2*q**3 - 2*q**2 + 3*q - 3. What is the remainder when y(-3) is divided by s(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the first derivative of -f**6\/2 - 321*f**5\/5 + 471*f**2 + 110. What is the second derivative of y(m) wrt m?\nAnswer: -60*m**3 - 3852*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3622?\nAnswer: 2, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 23 = 109. Let c = 53 + -21. Let t = -21 + c. What is the greatest common divisor of t and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 86 and 369128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 44 + -41. Suppose -3*q = -c*w + 24, -4*w = -5*w - 3*q + 12. Let o(p) = -p + w*p - 20*p. Let j(z) = z**2. Calculate j(o(x)).\nAnswer: 144*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 2 - 1 = 4*o, -4*d = 5*o + 12. Let h(f) be the second derivative of f**4\/6 - 2*f**2 + 2*f. Is h(d) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2282*x**2 + 11*x + 25 - 11*x + 21 - 44 to the form i*x**2 + q + c*x and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 46 - 40 = 0. Solve d*t = -t + 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1 - 4 - (-3 - 1). Let y(s) = 10*s**2 - 2*s + 1. Determine y(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1281633 to the power of 1\/2, to the nearest integer?\nAnswer: 1132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 8*k**3 - 3223*k**2 - 3220*k + 3. Determine u(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 265996 divided by -1\nAnswer: -265996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2\/7  (b) -2  (c) -4\/5  (d) -0.05  (e) -0.5  (f) -165  (g) 42\/31\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5 and 215.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one halves of a meter in centimeters?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 141 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -136*x - 340 = 806 + 1574 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -20176381\/1407 - -14340. Let t = r + 1411\/5628. What is the biggest value in -1\/9, -3\/2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c + 2*c - 5*c)*((0 + 0 - 1)*(1 + 1 + 0) + (4 - 1 - 1)*(-3 + 1 + 3) - 1 + 0 - 1)*(-3*c**3 - 5*c**3 + 2*c**3).\nAnswer: -24*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out -53057103 + 19.87305.\nAnswer: -53057083.12695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 6 = 2*j. Let w(b) = 5*b - 19. Let p be w(j). Calculate the smallest common multiple of 14\/p - 102\/(-14) and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 14*u**2 - 8*u + 6. Let d(w) = -5*w**2 + 3*w - 2. Suppose 3*y + 5 = 14. Determine y*x(k) + 8*d(k).\nAnswer: 2*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 78*v**5 + 182*v**4 - 15932*v**2 wrt v?\nAnswer: 4680*v**2 + 4368*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 48 a factor of 92688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -1*(-2 - -3) - -1. Let u be -2*((-3)\/(-27) - b). What is the closest to 2\/5 in u, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 30994 by -2.\nAnswer: -15497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1 - (-1 + (-142)\/(-20)). Let k be 15*(-3 + 2)\/1. Let w = t - k. What is the common denominator of 3\/4 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/10 + 689\/3180\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(425) - (sqrt(425) + 4*sqrt(425)*-2) - -4*(0 + sqrt(425)).\nAnswer: 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kzkfmimekiiffiiikfi. What is prob of sequence fe?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 5*v = 150. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -563122 + 12*k + 563122.\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35718?\nAnswer: 2, 3, 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 130.4 to zero decimal places.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 136904731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (4 - 17) + 6 - (-3 + 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uz when two letters picked without replacement from zkuuuzuuuu.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t, 1 a, 1 x, and 1 u when four letters picked without replacement from {u: 2, w: 1, a: 1, d: 1, t: 1, x: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c**2 + 6*c + 29. Let s(d) = -136*d + 3. Give w(s(i)).\nAnswer: 18496*i**2 - 1632*i + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1\/32402 or -1?\nAnswer: -1\/32402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.329449 decades in months?\nAnswer: 759.53388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.8 less than -110242424?\nAnswer: -110242423.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 44557419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -25\/66 + 6\/11. Which is greater: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33088 is divided by 973.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 16, 0.0265, 832?\nAnswer: 832","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50*a**5\/19 + 39980*a**4\/19 - 667398*a**3\/19 + 1404560*a**2\/19 - 483016*a\/19 + 45696\/19 = 0 for a.\nAnswer: -816, 1\/5, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 366 minutes before 4:18 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 3580989789 to the power of 1\/3, to the nearest integer?\nAnswer: 1530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 191 divide 2623767?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.49 - 0.45. Let f = x - 2.24. Let c = -1.9 - f. What is the fourth smallest value in c, 3, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 306619230 and 1693?\nAnswer: 1693","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of (-26342)\/(-2) - (230 - 230)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 306438521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -7.7101677 to one dp.\nAnswer: -7.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -242 - -233. Let a = 16.22 - 16. Let p = -0.08 - a. What is the smallest value in p, 0, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rgag when four letters picked without replacement from {c: 9, r: 1, a: 4, v: 2, g: 3}.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.03 + 0.039. Let w = -0.991 - q. Which is the third smallest value?  (a) w  (b) -0.5  (c) 0.2  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -206*x = -2*x - 612 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p - 2*p - 5*p - 2)*(-p**4 - 2*p**4 + p**4).\nAnswer: 12*p**5 + 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*r - 3*r - 19 - 170 - 321 = 0 for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:31 PM and 4:50 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**2\/9 + 2794*b\/9 + 36829\/3.\nAnswer: -(b - 2833)*(b + 39)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**6*i\/i**(-38) assuming i is positive.\nAnswer: i**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 2*c = -8 - 4, 2*k + 4*c = 6. Let y(b) = -3*b**3 - 3*b**2 + 3*b - 2. Is 16 a factor of y(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 184.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29 = -2*i - 961*q + 956*q, -22 = i + 4*q for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 156 and 2092961?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -287*x**2 + 5*x + 287*x**2 - 5*x - 4*x**3.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8 - 3. Suppose -5*c + 10 = -s - 22, z*c = 2*s + 29. Let u(f) = f**2 + 37*f. Let q be u(-37). Solve q = -c*l + 9*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 262224199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 67 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3615 is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: ((-770)\/(-49) + -16)\/((-2)\/(-98))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = h**2 - 5. Let s be r(-5). Let j be 4\/(16\/s)*1. Solve -z + j = 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the second derivative of -h**4\/4 + h**3 + h**2 - 3909*h - 1. Let x(k) = k**2 - 3*k - 1. What is -7*x(r) - 4*y(r)?\nAnswer: 5*r**2 - 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(-4) - 38\/88\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -2*l + 9. Let t be v(3). Solve -2*y + t*y = -2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 1226, -2521, -1, -2, 4, 1 in ascending order.\nAnswer: -2521, -2, -1, 1, 2, 4, 1226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/(-30))\/(6\/15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y**3 - 24*y**2 - 24*y. What is the remainder when 66 is divided by u(-23)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 127706430 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -771 * -0.05163\nAnswer: 39.80673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**2 + 14618*s - 175704.\nAnswer: 2*(s - 12)*(s + 7321)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 53*d + 8 = 49*d - 2*g, 0 = 3*g + 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n**3 - 4 - 1 + 7*n - 2*n**3 + 2*n**2 + 3*n**2. Let l be a(6). Suppose -7 = -3*y + 2*i, -2*i + 9 = 2*y + l. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**9*a**(-1))**(9\/7)\/(((a**(2\/7)*a)\/a*a)**(-33)\/(a**(-1))**(1\/7)) assuming a is positive.\nAnswer: a**(368\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l = 11*l - 30. Solve -4*h - 15 = 4*p - 3*p, 3*p - h + l = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -1176*g - 1319*g + 272*g - 2423*g. Let d(z) = -2*z**2. Determine d(s(x)).\nAnswer: -43170632*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -8*u + 12088 - 12152 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (sqrt(11) - sqrt(66)\/sqrt(6))**2 - -2*sqrt(55)\/sqrt(5)) + -3.\nAnswer: 1 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -1850, 53\/4, 49, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -403 + 805 + 390*a**3 - 402.\nAnswer: 390*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g - 5. Suppose -563 - 247 = -6*z. Let j = z + -229. Let d = j - -100. Give a(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 472662539.\nAnswer: 631, 749069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 1\/(12 + -5 + -12).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = i**2 - i + 3. Let c(d) = 66*d**2 - 3*d + 9. What is -6*c(t) + 18*u(t)?\nAnswer: -378*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (26\/65*-10)\/(3 - (-115)\/(-40))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 16.82 - 3.4. Let s = k + -13.4. Are -16 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 311*n - 329*n + 90 = 0. What is the lowest common multiple of 29067 and n?\nAnswer: 145335","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*l**2 - 245*l + 568*l + 19 - 321*l + 2*l**3 to z*l**2 + q + u*l**3 + y*l and give q.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 5*-4899.1\nAnswer: -24495.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a + 71 = n + 82, 4*a - 31 = 5*n for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = b + 4. Let f be (1 + 0)*-2 - 142\/(-2). Let x = f - 39. Suppose 0 = 2*u + 4*u + x. Determine s(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the second derivative of 5*u**4\/3 + 11*u**3\/6 + u**2\/2 + u - 29. What is the second derivative of i(s) wrt s?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-35)\/10*(-8)\/(-14). Sort -16, j, 5.\nAnswer: -16, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -749*f**4 - 1575*f**4 + 168*f**4 - 2929*f - 2521*f**3 + 2521*f**3 wrt f.\nAnswer: -25872*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 4*a. Let z(w) = -9*w. Let o(r) = -13*l(r) - 6*z(r). Let m(v) be the second derivative of 0*v**3 + 1\/6*v**4 + 0 - 66*v - 3\/2*v**2. Give m(o(p)).\nAnswer: 8*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 124790, 124792, 124794, 124796?\n\"Answer: 2*a + 124788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2866*x + 16 = -2858*x. Solve -22 = -x*m + 3*r, -3*r + 37 = 5*m - 6*r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 346 = -0*w + 5*w, -4*w + 292 = -3*f. Calculate the highest common factor of w and 581.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the second derivative of 0 - 214*l - 2\/3*l**3 - 2*l**2. Determine m(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1965444204 or -1965444203?\nAnswer: -1965444203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -31, -191, -457, -829, -1307?\nAnswer: -1891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -189 less than or equal to -187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2184685?\nAnswer: 5, 41, 10657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 4*o**2. Let f(n) = -103*n**2. Give a(f(t)).\nAnswer: 42436*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 156*a - 192*a - 24 = 12 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2 + 1.8. Let p = -0.3 + 0.3. Let u = c + p. Sort 3, u, -0.3 in increasing order.\nAnswer: -0.3, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = -3*l + 57, -3*l + 0*l + 47 = -2*y. Suppose -1 + l = -4*k. Let p be 1\/(-6)*k\/1. Which is the biggest value?  (a) p  (b) -4  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 15 - 1. Let a(o) = 21*o**2 + o. What is the remainder when a(-2) is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 35.83 - 36. Let o = 0.17000154 + k. Round o to seven dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l - 2*v - 1 = 0, -5*l + 5*v = -4*l + 17 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 116070799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = b**2 - 2*b + 2. Let p be n(2). Suppose -4*z - 23 = -5*v, 1 = v + 2*z + p. Solve v*t + 37 = -5*i, 2*i = t - 2*i - 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3.98 + 0.02. What is the second smallest value in -0.2, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1536772 a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:31 AM and 8:01 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 737 + -706.9. Let i = r + -30. What is the third biggest value in 4, -3, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11220330 - -21103330?\nAnswer: 3223000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3882349510?\nAnswer: 2, 5, 13, 73, 409099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 4 - 2*n**3 + 10*n**3.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 4 + 6 = 0. Let o = 804 + -6397\/8. Calculate the common denominator of m + 0 + (-124)\/(-48) and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-a - a + a)*(-7*a**2 + 4*a**2 + a**2) + (3*a - 6*a - 5*a)*(-4*a**2 + 3*a**2 - 3*a**2).\nAnswer: 34*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3756c (base 13) to base 14.\nAnswer: 29257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = 3*y - 4*f + 35, 147 = 3*y - 2*f. Solve -46*l + 89*l - y*l + l**2 = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 * 241880171\nAnswer: 241880171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-9)\/(-6) - 3\/2. Suppose t = -3*b + 5 + 1. Suppose 0 - 18 = -b*o. Solve -5*m + o = -6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1371.\nAnswer: 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*v - 13*v = 10*v - 864 for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*d - 66 = -17*d - 5*h, -2*h + 21 = d. Let l(f) = f**3 + 8*f**2 + 7*f + 3. Let s be l(-3). Is s less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the third derivative of 0*z - 1\/8*z**4 + 19\/20*z**5 + 19\/70*z**7 + 0 - 4*z**2 - 1\/28*z**8 - z**3 - 31\/40*z**6. Let q(k) = 0. Calculate k.\nAnswer: -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 16973170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 321 by -334.\nAnswer: -321\/334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 5*c**3 - 28*c**2 - 51*c - 417. Let t(x) = 3*x**3 - 17*x**2 - 31*x - 250. Give -14*m(o) + 23*t(o).\nAnswer: -o**3 + o**2 + o + 88","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:01 PM and 12:56 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d + 6. Let m(q) = 9*q + 2. Let w(f) = -11*f - 1. Let u(s) = 6*m(s) + 5*w(s). Calculate -4*p(c) + 5*u(c).\nAnswer: -c + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 55477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u + u - 4*u + (-3 - 3 + 5)*(-4 + u + 4) - u + 5*u + 0*u)*(2*u - u - 7*u + (-2 + 0 + 1)*(5*u - 2*u - 4*u) - 5*u + u + 5*u + 4*u - 3*u + 0*u).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h**3 + 11*h**2 - 17*h - 16. Let i be m(-12). Let s(u) = -u**2 - 38 + 3*u + i + 5*u. Is s(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 296960267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 397943 to the nearest 1000.\nAnswer: 398000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*q**2 + 1527*q + 2556 = 0.\nAnswer: -71, -12\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -8*b + 26. Let k(i) = i - 3. Let d(j) = j - 3. Let v(w) = 6*d(w) - 7*k(w). Let n(y) = -52*v(y) + 6*x(y). Let s(l) = -2 + 2 + l**2. What is s(n(f))?\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 4. Let b be (2 + -4)\/((-2)\/(-3)). Let u(c) = c - 4. Let d(o) = b*j(o) - 2*u(o). What is the units digit of d(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t**(-25)\/t*t)\/(t\/t**(-13)))\/((t*t*t\/((t*t**(-7)\/t*t)\/t))\/(t**(1\/8)\/t)))**(2\/11) assuming t is positive.\nAnswer: t**(-399\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 80 - 89 = -9*z. Is 5225*z + (-30 - -32) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -18253, -36510, -54763, -73012, -91257, -109498?\nAnswer: -127735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (112\/280)\/(((-23)\/(-5))\/(-1)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1\/(-2))\/(-11 - 845\/(-78)). Suppose n - 1644 + 62 = v*b, 6388 = 4*n + 3*b. What are the prime factors of n?\nAnswer: 2, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in three tenths of a millennium?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 263986258?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 12.849998922 + -12.85. What is q rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.079 + -0.589. Let l = q + 0.46. Which is the nearest to -2?  (a) -0.5  (b) -2\/3  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3\/5  (b) 3  (c) -556  (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2008 - 1951. Calculate the remainder when 210 is divided by h.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*v - v - v)*(5*v**2 - 2*v**2 + v**2 - 2).\nAnswer: -8*v**3 + 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 13310 - 13048. Calculate the remainder when 736 is divided by h.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -2*((-1)\/(-1) + -2). Suppose 3*d = 8*d - 3*g - 8, -3*g - 4 = -d. What is the derivative of -u - d - 3*m**3 + 0 wrt m?\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 7825 = -5*x - 20579, -w = -4*x - 7090. Does 22 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) -20068  (b) -2\/7  (c) 0.0114  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Are 7978015\/3 and 2659338 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = -0*n - 20. Calculate the common denominator of -87\/4 and (-77)\/18 + (n - 3).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3\/3*(8 + -4) - 1. Suppose a*j + 51831 - 214725 = 3*k, 2*k + 108606 = -3*j. What is k rounded to the nearest one thousand?\nAnswer: -54000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the third derivative of -y**5\/60 - y**4\/12 + 5*y**3\/6 + 11*y**2. Let x(h) = h + 23. Let o be x(-7). Let m = -20 + o. Determine i(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -267441775129483.89949273 - -267441773208624. Let s = z - -1920860. Let k = -0.1005 + s. What is k rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 656*s - 2663 = 651*s, -2703 = -2*u + 3*s. Does 12 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 12250*l**3 + l**2 + 7*l - 1. Let f be y(-6). Let c be 2\/(-12) - f\/42. Round c to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13565 is divided by 3322?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 89241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j**2 - 6*j - 1. Give k(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 18013691 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7 + -9 - 3) + 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 550672\/101 or 5453?\nAnswer: 5453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the first derivative of 57\/4*g**4 + g + 0*g**2 + 5\/3*g**3 + 65. Find the third derivative of z(q) wrt q.\nAnswer: 342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 4*n**3 - 7*n + 2. Let p = -19711 - -19714. Give z(p).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -2470, -4947, -7432, -9925?\n\"Answer: -4*m**2 - 2465*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 46 + -45.962. Let h = f - -0.018. What is h rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 187782 and 23082458.\nAnswer: 3682","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the first derivative of 9\/20*d**4 - 3\/25*d**5 + 0*d + 0*d**2 - 2\/5*d**3 + 4. Factor p(k).\nAnswer: -3*k**2*(k - 2)*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 14*m**3\/3 - 2*m**2 - 8*m\/3.\nAnswer: 2*m*(m - 1)*(7*m + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 3210 - 3180 = 4*f. Let x(w) = w**3 + 10*w**2 + 9*w + 3. Let t be x(-9). Suppose 0*l + 0 + 4\/5*l**2 + f*l**t = 0. What is l?\nAnswer: -2\/15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by -372.\nAnswer: 1\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -52628 divided by 892?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 3 = 1. Let u = 2 - p. Let h(b) = u - b + 3 + 0*b - 2. Calculate h(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -28\/13455 and 73\/1035.\nAnswer: 13455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -387.73056745 minus 3?\nAnswer: -390.73056745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 110438879 to the nearest integer?\nAnswer: 10509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -110, -64, -18, 28, 74?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5997 = -49*l + 52*l. Let r(z) = z - l + 1999. Let t(c) be the third derivative of 11*c**4\/24 + c**2. Calculate t(r(q)).\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m**4\/5 - 120411*m**3\/5 - 906100297*m**2\/5 + 1132783416*m\/5 - 226562704\/5 = 0. Calculate m.\nAnswer: -15052, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (65\/15)\/((-1)\/(-18)). Let a = -48 + j. Let g = 195 - 108. What is the remainder when g is divided by a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = o**2 - 5510*o + 44014. Calculate v(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:54 PM and 7:59 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/4221134 and -103\/496604.\nAnswer: 8442268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-24)\/18)\/(20\/(-315))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2\/(-26 - -27))\/(282\/(-73)). Is p at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1578272263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 167029 is divided by 4607?\nAnswer: 1177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -38 - j - 44 - 49 + 92 + 40. Let a(h) = -h**2 + 6*h. Let d be a(5). Give y(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/6 of a week in hours?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 125745757*z**3 + 100457572 wrt z.\nAnswer: 377237271*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-1\/16)\/r**(2\/15))**(-35) assuming r is positive.\nAnswer: r**(329\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -163*x**2 - 233 + 233 in the form h + n*x + u*x**2 and give u.\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -67 - -70.7. Let a = k - 3.708. Round a to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 6, v: 5, k: 1, h: 5, l: 3}. Give prob of sequence rrkh.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 9.13 - 9.53. Let q = 0.3 + 0.4. What is the third biggest value in -2\/7, q, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(2\/19))**(4\/15) assuming z is positive.\nAnswer: z**(8\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = c + 12, -3*c - 31 = 2*c - 4*d. Let g be 0\/((12 - 3) + c). Factor -3*p**2 + 0*p + g - 3\/2*p**3.\nAnswer: -3*p**2*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -21323 + 23985. What is the highest common divisor of c and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -3*c - 1. Suppose -5*g - 5 = -35. Let p = g - 11. What are the prime factors of f(p)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 745\/150 + (-2 + 0)\/4. Let t = -481\/105 + o. Which is greater: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/(1\/5))\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2a1 (base 14) to base 5\nAnswer: -4113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -93 + 93 + 3*j**4 + j**2 - j to the form z*j + m + n*j**2 + y*j**3 + a*j**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 3*f**2. Suppose -2*d = -i - 3*d, 2*d = -5*i + 12. Let v(z) = 2*z**2 + 1. Let s(g) = i*v(g) - 3*r(g). Give s(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-24)\/10 + 4 - (-1)\/(-1). Let s = 3 + -5. Which is the third biggest value?  (a) 0.4  (b) q  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 1\/5, -3\/5, 1.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the second derivative of 11*s**5\/4 + 2*s**4\/3 - 7*s - 3. Find the third derivative of r(d) wrt d.\nAnswer: 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*l**2 + 2*l - 2*l)*(0*l + 0*l + l)*(-11207 + 7092 + 6452)*(0 - 4 + 5 + (2 + 3 - 3)*(0 - 1 + 2)) to the form r*l**3 + y*l + h*l**2 + m and give r.\nAnswer: -14022","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 32 = -4*w, -5*y - w - 4*w + 60 = 0. Let l be ((-12)\/(-6))\/(y\/(-6)). Which is the second biggest value?  (a) 1  (b) -4  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a minute in seconds?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 10, -0.4, 0, -1901, 4, -13, -1\/8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 times 23541?\nAnswer: -9416.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 76 - 30. Let u = -7388 - -7400. What is the remainder when v is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 126 divide 12729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-12)\/(-14))\/(-2 + 30\/14).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54*p + 4 = -53*p. Let u(k) = -37*k**2 - 175*k - 26. Let q(b) = -38*b**2 - 176*b - 25. Let c(d) = p*q(d) - 5*u(d). Determine o so that c(o) = 0.\nAnswer: -5, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 539773 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1021391956?\nAnswer: 2, 13, 37, 530869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1783, -5544, -11783, -20500, -31695, -45368?\n\"Answer: -1239*x**2 - 44*x - 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 29, 1, -89 in ascending order.\nAnswer: -89, 1, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (85 - 2)*2 + -2. Suppose 0 = -3*a - a + b. Let h(z) = 683*z + 10934. What is the remainder when a is divided by h(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -108*(-742)\/15264 + -2*2 - (-47)\/4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4656, -39503, -134074, -318231, -621836?\nAnswer: -1074751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -12 + 17. Let o = 29 + -20. Calculate the remainder when o is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = -3*g + 12, -d - 3*d - 2 = -5*g. Suppose -2*c + 4 = -d. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jjuj when four letters picked without replacement from jjjujjujju?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 279593, 569126, 858647, 1148150, 1437629, 1727078, 2016491?\nAnswer: 2305862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53*k = 49*k + 16. Suppose 0 = 2*y + 3*x - 347, 0 = -k*y + x + 3*x + 704. List the prime factors of y.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*p**2 + 64*p**2 + 59*p**2 - 16*p**2.\nAnswer: 84*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is a340a5 - 5?\nAnswer: a340a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 t when two letters picked without replacement from ktbow.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eekg when four letters picked without replacement from {e: 5, r: 2, g: 1, z: 6, k: 2}?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**3\/3 + 1091257*t**2\/3 + 99237001880*t + 99236638128.\nAnswer: (t + 1)*(t + 545628)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -4256 (base 8) to base 16\nAnswer: -8ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (4 + (sqrt(425) + 1 + sqrt(425) - sqrt(425)) - sqrt(425)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 8 = -2*y, -m = -3*y - 0*y. Solve 0 = -5*u + m*d - 22, -3*u + 0*d - 20 = 5*d for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-2793)\/(-1710) - 2\/15)*(5 + 2454\/(-486))\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 5*p - 1. Let g(o) = 4*o. Let f(t) = 3*g(t) - 2*i(t). Let r(y) = y**2 - 11*y - 11. Give 11*f(n) + 2*r(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 24819674 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 36 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14\/(-1764)*-7*2.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-214 + 226 - (-2 - -19)) + 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*q = 15 + 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 3315, 12080, 26697, 47172, 73511?\n\"Answer: o**3 + 2920*o**2 - 2*o + 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (2 - (4910\/290 - 3 - 12))*-14.\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 34 - 23. Suppose 2*v + 3*d = -10, 2*d + r + 1 = 4*v. Is v + 3\/3*2 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5 - 1. Let a = 36386 + -36384. Solve -4*v - 4*y - 20 = 0, -q*v + a*y + 4 = -0*y for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -21\/32  (b) 3  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -121*j**2 - 150*j**2 + 60*j**2 - 404*j**2 - 161*j**2 - 70*j**2.\nAnswer: -846*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 235696\/181 or 1301?\nAnswer: 235696\/181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -672?  (a) -1\/2  (b) 5\/8  (c) -3  (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 5*p - 92. What is the greatest common factor of 8 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -22*m. Let r be j(-3). What is the greatest common factor of 165 and r?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 6, m: 4, k: 3}. What is prob of sequence ml?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 14880 divided by -96?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11434496 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 minutes before 9:30 PM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yi when two letters picked without replacement from yyyiii.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(567) + (sqrt(35)\/sqrt(5) + 1 - sqrt(7)) - (sqrt(28)\/sqrt(4) + -4 + 4)*-2)**2.\nAnswer: 40*sqrt(7) + 2801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -a. Let t(x) = 191*x**2 + 3*x. Calculate d(t(h)).\nAnswer: -191*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 125*g - 15 + 129*g - 258*g in the form b + u*g and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -4*b**2 - b**2 - b**3 - 5 - 2*b + 2*b**2. Let d = -768 + 771. Let a(q) = q**2 + q - 1. Let y(g) = d*a(g) - k(g). What is y(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 598 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -12*a**2. Suppose -4 = -40*h + 38*h. Let v(c) = -4*c**2 + 2*c**2 - 2*c**2 + 2*c**h. Give v(y(q)).\nAnswer: -288*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 11*m - 2. Let p be r(3). Let a = 848 - 822. Let k = p - a. Solve 4*h = k + 7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.3 - -0.4. Let c = 2.33 + 29.47. Let o = -6.8 + c. What is the second smallest value in 0.2, y, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:19 AM and 9:36 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -645.583776801 - 0.706220199. Let s = -646.3 - b. Let g = s - -0.01. What is g rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 65 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 83 = 3*y, -45 = 2*y - y + 5*l. Suppose -47156 = 4*k - 2*i, i = 4*k + 23397 + 23761. Is 6\/(-10) + k\/y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**(-1\/3)\/h)**24\/((h\/((((h\/(h\/(h**0*h)))\/h)\/h)\/h))\/h)**0 assuming h is positive.\nAnswer: h**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -54 - (110 + -224 - 21)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6 is divided by (2*6\/12)\/((-1)\/(-3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the third derivative of 1\/6*s**4 + 0 + 0*s - 1\/6*s**3 - 2*s**2. Differentiate f(o) wrt o.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 61919 is divided by 10203.\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 27\/2 + (-9)\/6. Suppose -4*x = -0*x - j. Suppose -1 = 4*z + d, 0 = -x*z + 5*d + 42 - 14. Solve 0 = -2*k + 4*v + v - z, -k - 3 = -5*v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -415 + 443. Suppose -5*c + 12 + 13 = 0. Suppose -5*y + 4*k + 560 = -k, -c = 5*k. What is the remainder when y is divided by a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 8\/411159 or 0?\nAnswer: 8\/411159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/3*k**4 - 6988\/3*k**3 + 0*k + 0 - 6104018\/3*k**2.\nAnswer: -2*k**2*(k + 1747)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:45 AM and 12:02 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d*d\/d**(1\/21))**(-8\/5)*(d*d**(3\/2))**(-2) assuming d is positive.\nAnswer: d**(-1021\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.8 + 3.3. Let p = s + -2. Let r = -13\/3 - -4. Which is the biggest value?  (a) r  (b) -1  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -36, 0, 1, -46, 6349 in increasing order.\nAnswer: -46, -36, 0, 1, 6349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 197022 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 7 = -8. Let z = g + -3. Solve z*u - 4 = -0*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2293\/3 - 719. Let k = 46 - c. What is the smallest value in 6\/5, -11, k?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 87 divide 750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-2\/27))**(-37) assuming r is positive.\nAnswer: r**(74\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -886051 take away -42.8?\nAnswer: -886008.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 8*t**2 - 13*t - 21. What is the hundreds digit of w(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a**3 - 4*a**2 + 14080000. Suppose -10*x + 4*x = 9*x. Let t be z(x). Round t to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 357531, 715057, 1072583?\n\"Answer: 357526*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:54 PM and 2:42 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -11 + 24\/1 + -17. Which is the nearest to -2\/7?  (a) -2\/5  (b) -3\/2  (c) h  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s\/(s*s**(-5)\/s*s))\/(s**16*s))\/((s*(s*s**(-20))\/s*s*s)\/(s\/(s**(6\/17)*s))))**(1\/20) assuming s is positive.\nAnswer: s**(79\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -52 or -263\/5?\nAnswer: -263\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (23*f - 15*f + 33*f)*(7 + 5 - 2) - 2*f - 1 + 1 as g + u*f and give u.\nAnswer: 408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 2*m + 24. Let k be a(0). Let g = k - -35. Suppose -s + 40 = 2*c + s, 0 = -4*c + 4*s + 80. Calculate the remainder when g is divided by c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 205 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1047, -2074, -3091, -4092, -5071, -6022, -6939, -7816?\n\"Answer: x**3 - x**2 - 1031*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*z**3 - 5*z**3 - 6*z**3)*(-1 + 3 - 3*z - 1 + (10 + 54 + 13)*(2*z + 0*z + z)).\nAnswer: -1596*z**4 - 7*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4507, -8975, -13437, -17893, -22343?\nAnswer: -26787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 24\/4*(-2)\/(-4). Suppose 0 = -3*b + 5*y - 22, 5*b - q*y = -y - 5. Let o be ((-12)\/36)\/(b\/(-3)). What is the nearest to 0.1 in 0.5, o, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -20723.237851 + 20723. What is t rounded to 2 dps?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 117*n - 105*n + 4964 = 12536. Solve 7*m - 610 + n = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -142, -246, -364, -496, -642?\n\"Answer: -7*p**2 - 83*p - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -733 by -4.\nAnswer: 733\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, i: 3, d: 7, g: 2, n: 3, k: 3}. Give prob of picking 2 g.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 769193, -5, -214 in descending order.\nAnswer: 769193, -5, -214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 604 is divided by 58?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 231731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 10 = 16. What is the third derivative of -7*w**4 + 26*w**2 - 21*w**b - 16*w**2 wrt w?\nAnswer: -168*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.256 in -40, -986\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 n when two letters picked without replacement from kyniiiy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 35259 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 37*b*d**3 - 2*b*d**2 - 4*d**5 - 126 wrt d?\nAnswer: 222*b - 240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -32 + 0 + (-3 - (-14 - -7)). Suppose -4*p + 2*p = 12. Find the common denominator of 13\/10 and (24\/q)\/p*-16.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 148008847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 6*d + 1 + d**2 + d + 2. Let y be u(-5). Let v be 6\/(-75)*(-2 - y). Which is the nearest to v?  (a) 5  (b) -4  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*r + 2 - 12*r + 22*r - r**3 to d*r**2 + w*r + f + q*r**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1334 - 1341.024. Let s = q - -6.9. Let a = s - 9.976. Round a to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 728 times 451\nAnswer: 328328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(133) + sqrt(133) + 1*sqrt(133))*-3 + sqrt(133) + ((1*sqrt(133) - sqrt(133)) + sqrt(133))*1)\/(sqrt(63)*-2 + (sqrt(49) + sqrt(441))\/sqrt(7)).\nAnswer: 7*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15468 is divided by 14529.\nAnswer: 939","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 538*b**2 + 1473*b - 3169119?\nAnswer: 1076*b + 1473","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 177, -12087, 39 in ascending order.\nAnswer: -12087, 39, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -237 by 5.\nAnswer: -237\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p**3 + 6*p**2 + 33*p - 50. Let m be l(9). Which is the biggest value?  (a) 0.3  (b) -0.3  (c) m  (d) -50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 33 - ((-9 - -6 - -20 - 5) + -22)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -150*c - 2398. Let q be a(-16). Solve -2*w - k + 6*k = 1, 3*w - q*k = -7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 76 and 183046.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -892 - -896. Solve -4*k - h*l = -36, 4*l - 15 = l for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3*(200\/24)\/5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/125, -2\/7, -4\/53, 0.1 in increasing order.\nAnswer: -2\/7, -4\/53, 2\/125, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence me when two letters picked without replacement from {c: 1, g: 4, f: 1, e: 3, m: 2}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 49*y**3 - 3*y**2 + 1. Let c = -106 - -107. Calculate the remainder when s(c) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 205, 302, 379, 424, 425?\nAnswer: 370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 18 = -7. Suppose -129 = -3*g - 3*v, 0 = -3*v - 7 - 2. Let b = 56 - g. Solve 5*c + b = -i for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9*(-1)\/3)\/(-5).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*b + 8*b + 2 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 3*j**2 - j + 2. Let x(s) = s**3 - 2*s**2 - 2*s. Suppose -3*g + 4*c + 17 = 0, 0 = -3*c + c - 4. Let n be x(g). What is the tens digit of a(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-238)\/3*42\/(-28) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 6*u - 8. Let x(m) = -5*m + 7. Suppose 0*a + b = -2*a + 12, -2*a + 4 = 5*b. Determine a*x(g) + 6*p(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 + 0)*(2*f - 32 - 17*f + 30).\nAnswer: -15*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is a379 + 647?\nAnswer: aa04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40 = -5*m + 4*x, -7*m = 11*x - 10*x - 23 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2227985?\nAnswer: 5, 445597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13\/9 + -1 + (-64344)\/(-9450) + 2\/25?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 4*a**2 + 9*a + 5. What is o(-4)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 26 - 10. Solve 3*k**3 + j*k**4 - 2*k**5 - 8*k**5 + 5*k**3 + 0*k**5 = 0 for k.\nAnswer: -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-60)\/50)\/((-6)\/20). Suppose 2*k = -5*g + 41, x*g + 14 = -0*k + k. Let v be ((-90)\/8)\/(1\/(-4)). What is the highest common factor of k and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w\/(w\/(w*w**(-6)*w)))\/(w**0\/w)*((w\/((w*(w**(-1\/6)*w)\/w)\/w))\/w)**(-3\/22))**7)**(2\/79) assuming w is positive.\nAnswer: w**(-931\/1738)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -285b8a8 + 3?\nAnswer: -285b8a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2253 + 2320. Calculate the remainder when 474 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -5*i**3 - 18*i**2 + 9*i + 315. Let x(c) = -4*c**3 - 15*c**2 + 7*c + 318. What is 5*b(h) - 6*x(h)?\nAnswer: -h**3 + 3*h - 333","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4 - -4)*1\/2. Suppose -4*r + 0*c + 17 = -c, 0 = 5*c - 15. Let k = r + -6. Which is smaller: k or w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r and 2 u when four letters picked without replacement from {u: 5, r: 3}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1092882953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9382*k - 2319*k - 7061*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -87\/8  (b) 0.5  (c) 6  (d) -3\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-98)\/46 - 0) + (-1 - -3). Let q be (-61)\/(-644) + (-1)\/4. Let n = q + s. Calculate the common denominator of 15\/4 and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9 - 20. Let t = i - -30. Let l = 18.99999998 - t. What is l rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-12)\/3 + 12\/(24\/1418). What is the greatest common divisor of q and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4828 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -10*f**2 - 4*f + 6. Let w(j) = -j**2 - j + 1. Give -6*w(v) + y(v).\nAnswer: -4*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 312 divided by -24?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*w - 12 = -16*w. Put -3, w, 82 in decreasing order.\nAnswer: 82, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f and 1 n when three letters picked without replacement from fwnwfknwwwwnwf?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -382e - -209?\nAnswer: -3625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -3*s - 23. Let w be h(-10). Let y = -1 + w. Calculate the smallest common multiple of 2 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s = -o + 9, -7*s = 5*o - 11*s + 31 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 1 i, and 1 f when three letters picked without replacement from {f: 1, p: 3, i: 5, e: 1, c: 2}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*n - 2*n - 9 + n**4 + n**2 - 14 + 3*n to the form b*n**2 + o*n + x*n**3 + h + f*n**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 136\/14 - (-12 + 22)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the third derivative of -s**6\/144 + s**5\/24 - 5*s**4\/12 + 14*s**2. Let n(i) be the second derivative of d(i). Is 6 a factor of n(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1226, -1245, -1276, -1319, -1374, -1441?\nAnswer: -1520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s**3 + 4*s**2 + 5*s + 4. Let n be i(5). Let k(v) = 4*v**2 + 2*v**3 - 3*v**3 + 4*v - 6 + 0*v**3. What is the tens digit of k(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 8*k - 46. Calculate m(8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2b69 (base 13) in base 9?\nAnswer: -8624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + d = -2536, 3*u - 1056 - 461 = -4*d. Suppose 4*x + 2*o = 1366, -3*o + 1202 = 5*x - u. Is x a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = w**2. Let n(f) be the third derivative of -f**4\/4 - f**3\/2 + 2*f**2 + 20. Determine b(n(z)).\nAnswer: 36*z**2 + 36*z + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -2  (b) -7\/2  (c) 0.1  (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 85 - 10*h - 85. Let i = -3 - -5. Let a(s) = -2*s - i*s + 3*s. Determine a(v(w)).\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 74791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -2248*p - 26966. What is l(-12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does -8\/11607 = -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a**3 - 5*a**2 + a - 6. Determine k(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 - 4*j - 10*j - 4*j**2 - 5*j + 5*j**2 as k*j**2 + d + q*j and give q.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 163.7995nm?\nAnswer: 0.1637995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*d + 11*d + 20. Sort 2, d, 5.\nAnswer: d, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-18)\/(-4))\/(24\/32). Suppose -9 = -h*f + 3. What is the units digit of (f\/(-4))\/(12\/(-312))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w**2 - 42*w - 25. Let j be z(-41). Factor -44*i + 5*i**4 - 36 + 31 - 35 - j*i + 15*i**3 - 10*i**2.\nAnswer: 5*(i - 2)*(i + 1)*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rtvttortttvhottrto. What is prob of sequence hrrv?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 77472 (base 12) to base 11\nAnswer: a8705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0.2, 4, -10 in descending order.\nAnswer: 4, 3, 0.2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 219  (b) 4  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3 + 345687?\nAnswer: 345690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4\/(-4) - (293 + 0 + 0). Let x = -98 - n. Find the common denominator of 0 + x\/(-40) + (-3)\/2 and 6\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -444*-102983\nAnswer: 45724452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*n**4 + 24981*n + n**3 + 3*n**4 - 1477*n**2 - 4*n**4 - 24981*n as c*n**4 + v + b*n**2 + f*n + w*n**3 and give b.\nAnswer: -1477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -22379946*y**3 + 23556677*y.\nAnswer: -134279676*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1364 (base 7) to base 6.\nAnswer: 2252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3\/62 - 1073\/248. Calculate the common denominator of 0 + 107\/14 + -1 and i.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/(45\/(-10)))\/(3\/(-18)*2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 4, w: 1, q: 1, j: 4, f: 3}. Give prob of picking 1 w and 1 j.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*u - 5*u**3 - 15*u + 93 - 93.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:05 PM and 5:09 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-4)\/(-2))\/10)\/((-6)\/12)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7.0653 + -44.9358. Let g = a - 0.0295. Let p = g - -37.8823. Round p to 3 dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 6*u - 3. Let f(s) = -5*s + 2. Let y(h) = -2*f(h) - 3*j(h). Let t be y(-9). Suppose 11*b = 4*b + t. Calculate the remainder when 40 is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in w + 5*w + 8*w - 23*w + 13*w - 3*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the second derivative of a**4\/4 - 2*a**3\/3 - a. Let g(n) = 7*n**2 - 9*n. Let y be 9 + (4 + -1 - 3). Let t(b) = y*c(b) - 4*g(b). Solve t(p) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the first derivative of 4074*k**5\/5 - k**3 + 751*k + 2796. Find the third derivative of c(f) wrt f.\nAnswer: 97776*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -6108081 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2060697.24 milliseconds to days.\nAnswer: 0.0238506625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/7, -0.031, -6855, -0.02 in descending order.\nAnswer: 2\/7, -0.02, -0.031, -6855","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -v + 8. What is c(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) be the third derivative of x**6\/40 + 13*x**5\/20 + 23*x**4\/8 + 11*x**3\/2 - 71*x**2. Factor l(c).\nAnswer: 3*(c + 1)**2*(c + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*q**2\/5 + 40*q - 204\/5.\nAnswer: 4*(q - 1)*(q + 51)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 170\/((-27)\/306*(-20)\/15) a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4664 a multiple of 212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 7 + -4 + -1 + -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s**2 + 341272*s + 7279161124 = 0.\nAnswer: -42659","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9*v**3 + 66*v**2 - 153*v + 108.\nAnswer: -3*(v - 3)**2*(3*v - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 2\/7, -340\/7, 0.5, 2\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -37645608 by 182.\nAnswer: -206844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: ((1515\/(-6))\/101)\/((-4)\/24)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xlah when four letters picked without replacement from {x: 3, q: 1, a: 1, l: 4, h: 5}.\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 143430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 6578 = -1202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that 4*p**4 + 576*p**3 + 22912*p**2 + 156672*p + 295936 = 0.\nAnswer: -68, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 273 (base 13) to base 11\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 divided by -7891?\nAnswer: -38\/7891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -3409.171 to 0 dps.\nAnswer: -3409","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 205 (base 6) to base 13\nAnswer: 5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2076981 is divided by 936?\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in x + 302*x - 158 - 17*x + 158.\nAnswer: 286*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -80 - -1361\/17. Is 0 <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1  (b) 113\/6  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 166, 578, 1236, 2134, 3266, 4626, 6208?\nAnswer: 8006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the third derivative of t**6\/120 + 11*t**5\/60 - 5*t**4\/3 + 14*t**3\/3 + t**2 - 152. Let q(h) = 0. Calculate h.\nAnswer: -14, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 5560540 = v + 1209794, 0 = 5*s + 4*v - 11283890. Suppose -5*x + 1243222 = -s. What is x rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 693 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4, 1\/6, 0.1, -6, -6\/13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -26 + 32. Let v(h) = 37*h + 11. Is v(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 103 is divided by 71?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*g + g - 2*g)*((-3 + 4 + 3)*(-2*g - 1 + 1) - 4*g + 1 - 1) + 0*g**2 - 4*g**2 + 5*g**2 + (62 + 2*g - 62)*(-2*g + 3*g - 3*g).\nAnswer: -51*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = n + 2*u + 10, 15*u = 4*n + 10*u + 1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 64045.13ml in litres?\nAnswer: 64.04513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m + 12 + 4. Let v be m\/18 + (-3)\/108. Let w = -2 - -1.5. What is the closest to -1\/4 in w, -4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-5 + sqrt(2) + 0 - ((sqrt(2) - (-1 + sqrt(2))**2) + 2))*1.\nAnswer: -12 - 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(143) + -3*sqrt(143) + sqrt(143))*4)\/(((sqrt(132) - (4*(sqrt(132) + -2*sqrt(132)) - sqrt(132))) + sqrt(132))\/sqrt(12)).\nAnswer: 8*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 5*y. Let h(g) = 4*g - 38. Let u be h(16). Let z(j) = -3*j + u*j - 10*j - 11*j. Determine 3*v(d) - 5*z(d).\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 34*f - 133. What are the prime factors of s(26)?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - 12\/(-18)*-3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = v**3 - 11*v**2 - 7*v + 6. Suppose -2*t - 3*k = -4 - 8, 0 = 5*t - 5*k - 80. Is 28 a factor of c(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 387890514.\nAnswer: 2, 3, 11, 1321, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) be the second derivative of 3*n**8\/4 + n**6\/10 - 416*n**4\/3 + 39*n + 4. Find the third derivative of q(m) wrt m.\nAnswer: 5040*m**3 + 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2  (b) 2\/11  (c) -1\/6  (d) -4  (e) 0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 10\/(-140)*7*-440158 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0  (b) -52  (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence teet when four letters picked without replacement from ttetteettteee.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 269 a factor of 83390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5949 (base 10) to base 14.\nAnswer: 224d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49*a + 48*a = 2*o - 1, -a - 4*o + 57 - 54 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 29 + -19 - (57 - 46)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 17 + -8. Let p(a) = 24*a - 28. Let t(d) = d - 10. Let k be t(13). What is the remainder when p(k) is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 407 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is q in q**3\/7 - 15*q**2\/7 - 33*q\/7 - 17\/7 = 0?\nAnswer: -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 77748795 divided by -29961\nAnswer: -2595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -14.1 + 36.1. What is the smallest value in n, 2\/13, 4\/5, 0.4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5\/4  (b) -2  (c) 2\/9  (d) -29  (e) 15  (f) 2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3)\/(-63) + 55\/15 + -4. Let x(h) = -h**2 + 4*h + 5. Let i be x(4). Which is the closest to 0.1?  (a) o  (b) i  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3550 + -634. Does 108 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 15, 23, 31, 9, -73, -245?\n\"Answer: -5*d**3 + 30*d**2 - 47*d + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -23722 - -23610.07. Let w = i - -112. Let y = w - -0.33. Which is the nearest to -0.1?  (a) -2  (b) -5  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -25520*g**2 - 35 + 672*g + 25521*g**2 - 638.\nAnswer: (g - 1)*(g + 673)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 300?  (a) 1\/3  (b) 0.3  (c) 31\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -52*b**3 + 2*b**2 + 16*b - 26. Let z(r) = 48*r**3 - 2*r**2 - 14*r + 27. Let y(v) = 5*x(v) + 6*z(v). Find the second derivative of y(p) wrt p.\nAnswer: 168*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 903516*d**4*i**2 - 27*d**4 - 184347*i**2 - 161*i with respect to d.\nAnswer: 3614064*d**3*i**2 - 108*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 + 2 + -43 + (4 + 15 - 8) + 1?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3 - -1. Let w = 4.5 - t. Which is the closest to 1\/4?  (a) 0.1  (b) w  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14 + 2 - 2)*(-5*i + 3*i + 4*i) + (1 - 1 + 3*i)*(1 + 1 + 0) - i - 1 + 1 + (-2 - 2 + 3)*(2*i - i - 3*i) + 0*i + 3*i - 2*i - 2*i + 0 + 0.\nAnswer: 34*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 2*o**2 - 26*o - 26. Calculate w(18).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 0.1*-176963\nAnswer: -17696.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -455 + 454.6. Put 3\/7, u, -2, 0.09 in descending order.\nAnswer: 3\/7, 0.09, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = n - 18, 2*d + 1 = 3. What is the highest common divisor of n and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (17 + -38 - -14) + -2 + 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 118900 rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + 6 + -1 + 0 - (5 + -6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*((sqrt(88) - (1*sqrt(88)*-2 + sqrt(88))) + sqrt(88)))\/(4*-3*(sqrt(162) + (sqrt(162) - sqrt(162)*-1))).\nAnswer: sqrt(11)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.5 and 107.086757?\nAnswer: -53.5433785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9 and 57?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = a**3 + 5*a**2 + 3*a - 2. Let v be n(-4). Let j = 514 + -503. Calculate the lowest common multiple of (7\/v)\/(1\/2) and j.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 337 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -144, -145, -148, -153?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -21286854 minus -3?\nAnswer: -21286851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 4, k: 1, y: 2, o: 1, v: 1}. What is prob of picking 2 y?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 273\/65 + -9 + (5 - 0).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3 + -1. Let u = -136 - -565. Let s = 428 - u. Which is the second smallest value?  (a) 3\/4  (b) s  (c) -2\/13  (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3 - 2*(-6)\/(-4). Suppose m + x*o = 4*o + 13, 0 = -2*m - 5*o - 39. Let l(i) = -i - 8. Let d(b) = -3 - b - 8 + 2. What is m*l(j) + 6*d(j)?\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-9)\/27 + (-7)\/(-3). Suppose 3*s - 36 = -0*s + 4*f, -28 = -g*s + 4*f. Does 4 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*g**4 - g**2 + 8*g**4 - 36 - 2*g**2 + 5*g**2 + 2*g + 19 to the form s + f*g + j*g**4 + r*g**2 + t*g**3 and give s.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-39)\/(-18) + 1\/(-6). Suppose -g = s - 5. Suppose 4*p + 26 + 0 = 5*t, -3*p = 3*t - 21. Calculate the greatest common factor of t and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 122 and 10.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(68) + sqrt(68))\/sqrt(4)*5 + (sqrt(119)*2)\/sqrt(7)*3 + (-1 + 2*(5*sqrt(136)*1)\/sqrt(8))**2.\nAnswer: -4*sqrt(17) + 1701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -67 + 30 + 1386*b - 6911*b + 37 as u*b + t and give u.\nAnswer: -5525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 57490413?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -21860 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -5 * 0.140491418\nAnswer: -0.70245709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zrrzbzbrkc. What is prob of picking 1 r and 1 c?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 143c2 + -476?\nAnswer: 13c49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.01701 and 0.01.\nAnswer: -0.00701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -2*w - 5. Let y be q(-3). Solve -g - 3 + y = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - (2 - (4 + -4))) + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 140 + -121. Suppose -f*j + 52 = 7*j. Solve 4 = j*a - 4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q**2 + 7*q - 251. Let r be i(8). Put 3\/7, r, 4, -7 in decreasing order.\nAnswer: 4, 3\/7, -7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 50110.29ug in grams?\nAnswer: 0.05011029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*m + 195 = -189. Suppose 9*w = 621 + 1863. What is the highest common factor of m and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*l - 10 - 11. Let c(o) = -1587*o + 12749. Calculate the remainder when c(8) is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m**2 + 10. Let y(w) = w**2 - 2*w - 3. Let n be y(3). Give x(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 19, 4, 16, -8.\nAnswer: -8, 0, 4, 16, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/y**(7\/6)*y)**(-6\/7)\/((y*y**(-3\/11)\/y*y)\/y**(3\/5)) assuming y is positive.\nAnswer: y**(-324\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3.4 - 3. Let i(j) = -j + 8. Let s be i(10). Let q be 7*2\/(-21)*3\/5. What is the nearest to 2 in q, u, s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = 5*p, 30 = -4*t + 3*t + p. Let f = t + 46. What is the remainder when 30 is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 248233, 248296, 248359?\n\"Answer: 63*t + 248170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4  (b) -22\/7  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 545286?\nAnswer: 2, 3, 7, 12983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10)\/2*1 - (66 + 66 - 109).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 16040, 16038, 16036, 16034?\nAnswer: 16032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k**3 + 17*k**2 + 2*k - 8. Let c be f(17). Let u be (28\/(-5))\/(1\/(-5)). Let g = c + u. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 153603586 to the power of 1\/2, to the nearest integer?\nAnswer: 12394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v*v*v*v**5*v*v*v*v)\/v**(-1))\/(v**(-2\/5))**(-2\/189))**(-26) assuming v is positive.\nAnswer: v**(-319306\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**9\/h)\/(h*h**(3\/7)) assuming h is positive.\nAnswer: h**(53\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the second derivative of 0*g**2 + 1\/60*g**6 + 0*g**3 + 1\/40*g**5 + 0 - 4*g + 0*g**4. Let j(l) = 0. What is l?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1 + 1. Suppose -k = g*k - 2*v - 140, -k = v - 55. What is the remainder when k is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pppmmpmmmpmpmppmmpmm. Give prob of picking 2 m and 2 p.\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 77\/5 of a microgram?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10930, 14435, 17940, 21445, 24950?\nAnswer: 28455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the second derivative of -1\/2*k**4 - 3\/20*k**5 - 5\/6*k**3 - 15\/2*k**2 - 20*k + 2. Find the second derivative of a(z) wrt z.\nAnswer: -18*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0*0.36\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (4\/(-6))\/((-10)\/15). Suppose -5*k = -5*u + 60, -21 = 5*u + 5*k - 61. Calculate the smallest common multiple of u and (0 - p)*17*-2.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.4893948l?\nAnswer: 489.3948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from euuueuuuueuu. What is prob of sequence eu?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: ((-107)\/15 - (-102)\/765) + 18\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + 1 - 20 - (83 + 175084\/(-1729))?\nAnswer: 24\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f = -4*f - 12. Let o = f - -6. Solve o*r + 8 = 5*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-12)\/9*(-81)\/6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 - -2 - (-1 + -5 - (25 + -29))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2 + -1.6. Let w be 0 - (1 - (-13)\/(-11)). Let l = -1\/12 - 5\/12. Which is the nearest to l?  (a) w  (b) q  (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = -2*r + 2*z - 739, 0 = -r - 5*z + 727. List the prime factors of r.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 644080338 divided by 678?\nAnswer: 949971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -7*y**2 + 7*y - 38. Let a(r) = 6*r**2 - 7*r + 39. Let w(s) = 3*a(s) + 4*p(s). Let d be -1*(7 + 2)*-1. Let c be w(d). Round c to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 15664\/3 + -5219. What is the closest to 0.1 in k, 5\/2, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 217742 and 23254?\nAnswer: 2395162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the second derivative of c**7\/14 + 5*c**3\/6 + 14*c**2 - 12*c. Let x(v) be the first derivative of z(v). Find the first derivative of x(u) wrt u.\nAnswer: 60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -11*s + 195 - 107 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = t + 4 - 1. Let o = -0.109 - 66.891. Let z = 68 + o. What is the nearest to 2\/11 in z, -4, t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the second derivative of m**5\/240 - m**4\/96 + m**2 + 3*m. Let q(a) be the first derivative of x(a). Solve q(z) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -320 divided by 10\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 69875972?\nAnswer: 2, 41, 426073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y and 2 q when four letters picked without replacement from {d: 5, p: 1, q: 5, b: 2, y: 2, c: 1}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -84532*x + 28064616. Determine r(332).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1 + 13. Calculate the remainder when 22 is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1\/(-5))\/((-17)\/(-17))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1180 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put together -14 and 16042534060.6.\nAnswer: 16042534046.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4491, 4863, 5235, 5607, 5979?\nAnswer: 6351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**2 - 8*k - 5. Let f(y) = 2*y**2 + 15*y + 9. Let d be -1 + ((-72)\/27 - (-2)\/(-6)). Let z(o) = d*f(o) - 7*j(o). Suppose -2*l = l + 15. What is z(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 8\/48*99\/(-45). Let h be ((-1)\/(-5))\/((-2)\/(-10)). Which is bigger: h or k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14328?\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 11328230 a multiple of 299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 41281, 82566, 123851?\nAnswer: 165136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2183 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 44 - 51 - (3 + -16). Solve 0 = r + 2*l + 3, -r - o*l - 6 = -l for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -140*z - 6. Let c be i(-6). Suppose 0*b - c = -6*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the second derivative of -w**4\/12 - w**3\/6 + w. Let o = -8 - -6. Let b(u) = -6*u**2 - 6*u. Calculate o*b(n) + 11*q(n).\nAnswer: n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**3\/3 + 60980*f**2\/3 + 464881024*f\/3 + 929518144\/3.\nAnswer: 2*(f + 2)*(f + 15244)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the first derivative of d**5\/24 + d**4\/24 - 4*d**3\/3 - 2. Let i(b) be the third derivative of p(b). Is i(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -175*g. Let p(x) = 49152*x**2. Calculate v(p(a)).\nAnswer: -8601600*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 257, 276, 249, 152, -39, -348, -799, -1416?\nAnswer: -2223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -216 = -3*g + 3*o, -o - 206 - 70 = -4*g. What is the greatest common factor of 51 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 5*h = 50, -h + 5*h = -4*s + 152. What is the smallest common multiple of 365 and s?\nAnswer: 2555","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = -4*z, -4*z - 3*o = o - 12. Let j(c) = c**2 - 4*c - 8. Let u be j(6). Let h(q) = q + 1. Let b(f) = -f**2 + 3*f + 6. Determine u*h(x) + z*b(x).\nAnswer: x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-3\/4)*c**8)**(-2\/93))**12 assuming c is positive.\nAnswer: c**(-58\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 595 = 3*u, 0 = y + u - 6*u + 97. Let l = y + 270. What are the prime factors of l?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 1 - 20*l + 3 - l. Let n be g(2). What is the units digit of 4\/(-6)*(n - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 14, i: 4}. What is prob of sequence iinn?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + 607.9?\nAnswer: 611.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -19*2\/(-1)*(-10)\/(-5). Suppose -w = -2*f + 4. What is the greatest common factor of 80 and f?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -16955180727 - 0.289.\nAnswer: -16955180727.289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 174606 is divided by 283.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*h + 4 + 8. Suppose -2*r = -h*r. Suppose 0 = -y + 2*a + 5, -4*y + 2*a = -3*a - 14. Solve -s - y + 0 = r for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(75)\/sqrt(5) + sqrt(15))*-2)\/(4*sqrt(180)) + -3 + ((sqrt(192) + -1)*4 - sqrt(192) - (sqrt(192) - 4*2*sqrt(192)))**2.\nAnswer: -3841*sqrt(3)\/6 + 19213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/4)\/(6\/4 + 1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 15  (b) 41  (c) -2\/11  (d) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 8 - 161*w - 12*w - 8 in the form v + f*w and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -2*d - 29. Let t be c(-13). Let i(x) = -x**3 + x**2 - x + 5. Let q be i(0). Let k = t + q. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 55\/10*4\/(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6 + -6. Suppose h*v + 4*d = 2*v, 5*v = -3*d + 13. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lrlfjyyp. What is prob of sequence jfrl?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 26629291 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from naanaaannn.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 107\/5933840 and -81\/20768440?\nAnswer: 41536880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (91\/1001)\/((-6)\/(-33)*1)*4\/(-93).\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48*a = -20*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 40, -3, -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the first derivative of -17*u**3\/6 + 9*u**2 - 23*u + 9. Let z(h) be the first derivative of n(h). Is z(-6) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 32\/732057 and 74\/303.\nAnswer: 73937757","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that 5*d**3 - 440*d**2 + 5580*d + 50400 = 0.\nAnswer: -6, 24, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 3*w**2 - 32*w + 229. What is the units digit of h(13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1923*j**3 - 975*j**3 - 98*j**2 - 1 - 951*j**3.\nAnswer: -3*j**3 - 98*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 8912 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 a when two letters picked without replacement from aaaaaaaraaaa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 10075*t**2. Let k(y) = -y**2 + 214*y. What is k(h(i))?\nAnswer: -101505625*i**4 + 2156050*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*i - 4671 = -35*i. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0005384895019 rounded to five decimal places?\nAnswer: 0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 12*u**2 - 3*u - 12. Let g(l) = -l**3 + 11*l**2 - 2*l - 12. Let f(p) = 3*g(p) - 2*h(p). Factor f(i).\nAnswer: -3*(i - 2)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.5 + -0.5. Let c = 1.1 + w. Let k = -22 + 22.3. Sort -2\/15, c, k in descending order.\nAnswer: k, c, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w**2 - 12*w - 12. Give s(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of b**3*f*y + 8*b**3 - 2*b**2*f - 3*b**2*y + b**2 + b*f*y - 535*b*y + 12*b wrt y?\nAnswer: b**3*f - 3*b**2 + b*f - 535*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + (12 - (12 + -5)) + 4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -4 + -749?\nAnswer: -74d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = a**2 - 3*a - 4. Suppose 2*d + 0*d = 0. Suppose 5*o + 23 + 2 = d. Let l be s(o). What is the greatest common divisor of 9 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*x - a - 93, 4*a = -14 - 6. What is the lowest common multiple of 22 and x?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**2 - 1035131776*y + 133937224210614272.\nAnswer: 2*(y - 258782944)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2011*c**2*s - 488*c**2 - 82*c wrt s?\nAnswer: -2011*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 997657819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 23394654 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 14*r + 8 = 9*r, 2*k + 2*r + 4 = 0. Let c(f) be the second derivative of 83*f**4\/4 - f**3\/6 - f**2\/2 + 2*f. Is c(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9160 divided by -7387.\nAnswer: -9160\/7387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -2*v + 5. Let o be ((-15)\/5)\/(1 + 0). Let x(a) = -6*a + 16. Calculate o*x(b) + 10*d(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is (-381 + 0)\/((-42)\/28) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + -403.42703?\nAnswer: -408.42703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, -1, 8, -9, 1.\nAnswer: -9, -1, 1, 8, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-222)\/(-185) - (0 - 28\/(-40))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -19824 + 832709\/42. Find the common denominator of j and -3\/22.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0 - 1)*(-19208 + 19208 + 523*f)*(1 - 1 - 2).\nAnswer: -1046*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (146 - 14 + 510)*(-1 + 1 + 2*d)*(3 - 3 - 2*d)*(5*d + 4 - 4) to z + j*d + y*d**2 + a*d**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 0.1, -9\/2, -0.5 in ascending order.\nAnswer: -9\/2, -0.5, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -79.217 + 79. Let k = d - -174.217. Let f = 189.1 - k. What is f rounded to 0 dps?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is -1087a0 (base 11) in base 2?\nAnswer: -101010001001110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 93329.\nAnswer: 93329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -411212 - 30343?\nAnswer: -442110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k**2 + 256*k + 16384 = 0. What is k?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -2 - 0 - (-34 + -2) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 38*m - 42. What is the hundreds digit of s(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 26 + 0 + -1 - (2796 + -2794)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(288)*-1*-4)**2 + 3 + sqrt(288)*3.\nAnswer: 36*sqrt(2) + 4611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9475.5 - -9476. Put 2, y, -0.0352, 5 in increasing order.\nAnswer: -0.0352, y, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 32099809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 674498 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*-2*(sqrt(175) - (3 + sqrt(175) + -3) - sqrt(175))**2*1 + -1.\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 55*y - 117. What is the hundreds digit of v(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s + 24 = 10*s. Suppose -693*f + 24 = -687*f. Solve 0 = f*z + 2 + s for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(21)\/sqrt(7) + sqrt(3) + sqrt(3)) + 3.\nAnswer: 3 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8*7\/56)\/(1\/(-7))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 1356638*f**2. Let b(t) = 2*t. Calculate c(b(w)).\nAnswer: 5426552*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 17 + -24. Let c = -1 - q. Let p = 2 + c. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 109\/70377410 and 6\/35188705.\nAnswer: 70377410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 392 is divided by 58?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1837\/5368 + (-1143)\/3048?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/3 - 14 - (1 + 0).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence le when two letters picked without replacement from leeleleeeel.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 24*h**2 - 2458*h + 12280. Calculate g(5).\nAnswer: 590","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1406 + -1396. Sort -1, -3, k, 0 in increasing order.\nAnswer: -3, -1, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tvhvtwmthhwt. What is prob of picking 2 h?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 11*r**2 - 49*r + 43. Let c be (-1120)\/(-60) - (-2)\/6. Is s(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o - 2 + 10. Let u(t) = t + 5. Let m be u(o). Let j(i) = -3*i - 26. Let g be j(-9). Is m equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1013*p**3 + 1006*p**3 + 1026*p**3 - 3039*p**3.\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 184186 is divided by 226?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(150)\/(sqrt(6)*-3) - (sqrt(250)*2)\/sqrt(10))\/(-5*(sqrt(320) + sqrt(320)*1 + sqrt(320))*6).\nAnswer: 7*sqrt(5)\/2160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5\/3, 3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5301752l in millilitres?\nAnswer: 530.1752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*u - 4*u + 3*u)*(4*u**3 + u**3 - 3*u**3) - 1257 + 151*u**4 + 1257.\nAnswer: 139*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*u**2 - 1137589510*u.\nAnswer: 5*u*(u - 227517902)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28*a**2 + 39 + 128*a**2 - 39 - 84*a**2.\nAnswer: 72*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -1747841.564 * -0.2\nAnswer: 349568.3128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 84361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*i = 38*i - 53 - 67. Solve -16*n + 17*n = 2*g - 13, 4*n + 2*g = -i for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*c = -19*c - 6. Let s(z) = z**3 - 6*z**2 + 7*z + 14. Let w be s(c). Calculate the highest common factor of 140 and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(132) + (sqrt(132) - -1*sqrt(132)*-2) - sqrt(132)) + sqrt(132) - sqrt(132) - sqrt(132))\/(6*sqrt(192)))**2.\nAnswer: 11\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 17\/10 and -51\/6848.\nAnswer: 34240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 342.1464 milligrams in kilograms?\nAnswer: 0.0003421464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -85*i**4 - 1341916*i**2 - 780 + 1341916*i**2 with respect to i.\nAnswer: -340*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 48 = 5*p, -4*y - y + 147 = p. Suppose 32071 = 42*t - y*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -69 - -321. Suppose -6*q = -10*q + 3*f + 201, -5*q + 4*f + j = 0. Calculate the remainder when 479 is divided by q.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19449595 is divided by 544?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 61\/(-7) + (-6)\/21. Let b = 13 + i. Suppose 61 = b*j - 27. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -70*o + 2044. Determine c(23).\nAnswer: 434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -89 + 97. What is the remainder when 20 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**3 - 9*k**2 + 10. Let m be d(9). Let h = m + -14. Calculate the remainder when 47 is divided by 8\/h*-1*8.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 19 - -11 - (-1 - -5). Suppose 21*d - 4*n = j*d - 106, -4*d - 5*n + 92 = 0. Does 3 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1167 + 1184 = -128*t + 5932 + 5507 for t.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*u**4 + 1160*u**3 - 74910*u**2 + 885080*u - 2910845.\nAnswer: -5*(u - 109)**2*(u - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1247 a factor of 8041549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/(15\/(-10)*-11).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*j - 13*j - 33*j to d + p*j and give p.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m**2 + 722*m + 98655. Determine d(-183).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the second derivative of -y**5\/20 + y**4\/2 + y**3\/6 + 5*y**2\/2 + 7*y. Let b be o(5). Solve -5*l + b = 4*r - 0*l, -4*r + 5*l = -5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1137301348 to the power of 1\/3, to the nearest integer?\nAnswer: 1044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2484*o - 3845*o + 1382*o.\nAnswer: 21*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 1396, 2773, 4148, 5521, 6892, 8261?\n\"Answer: -n**2 + 1380*n + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f + 6 = 4*j, -47*j + 48*j - 4*f - 12 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -292, -586, -880, -1174?\n\"Answer: -294*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1419 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 11) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-75)\/100)\/(1\/(-2)). Let n(m) be the first derivative of -z*m**2 + 2*m - 2. What is the first derivative of n(f) wrt f?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16*2.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from ddzzdzddzdzd.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -577, -643, -721, -817, -937, -1087, -1273, -1501?\nAnswer: -1777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 198 and 1368?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 31 - 34. Which is smaller: d or 6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -206, -409, -610, -809, -1006, -1201?\n\"Answer: a**2 - 206*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 6\/5  (b) 3\/5  (c) -4.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxaxaxaoaaxaualal. What is prob of picking 3 a and 1 x?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*z**5\/3 + 115*z**4\/3 - 281*z**3\/3 + 149*z**2\/3 + 10*z = 0 for z.\nAnswer: -2\/13, 0, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the first derivative of o**3\/3 + 3*o**2 + o - 1. Let q be 4*1\/2 + -6. What is b(q)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4, -2\/7, -1, 0, -8, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 20*((-15)\/(-10) - 4). Is (-1020)\/d - (-4)\/10*-1 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 4*v = 18, 3*j + 12 = -j - 4*v. Suppose 22 = 4*z + j. Suppose 4*r - 4*q = 5*r - 183, z*q = 5*r - 965. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 4 = -2*j, 0*l - l - 4*j = 1. Find n such that -10\/11*n**2 + 2\/11*n**l + 16\/11*n - 8\/11 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1 - (4 + 3)) + -4. Let b(p) = -51*p + 1. Is b(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 32503*l - 86655 with respect to l.\nAnswer: 32503","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 0*i + 34 - i + 1357*i**3 - 1356*i**3 - 29*i**2. Let j be h(29). Let m(q) = -q**2 + 3*q + 1. What is m(j)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 963652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 4681, 4624, 4533, 4408, 4249, 4056, 3829?\n\"Answer: -17*b**2 - 6*b + 4704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -9877.698666 take away -6.527?\nAnswer: -9871.171666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 0.7  (b) 1  (c) 3  (d) -32  (e) -2\/11  (f) 21  (g) 4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -2*c**2. Let n(q) = -q**2 - 5*q - 4. Let x be n(-3). Let g(l) be the second derivative of 0*l**3 + 0 - x*l + 0*l**2 + 1\/12*l**4. Determine b(g(s)).\nAnswer: -2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2572 + -2?\nAnswer: 2570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 3273737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -15.07 - -15. What is the second smallest value in 2\/3, w, -0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**3 + 6*r**2 - 5. Let v = -20 + 14. Let g be d(v). Let l(k) = 0*k + 2*k + 3*k + k**2 - 4. What is l(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 385 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.05 - 0.05006. What is w rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -94*u**2 + 12*u + 2*u - u - 1.\nAnswer: -94*u**2 + 13*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2126179*p**3*s**3 + 63*p**3*s**2 - 24*p**3*s - 8*p**3 + 2*p**2*s**2 wrt s.\nAnswer: -12757074*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 3*y = -14253, -2*y + 1296 = -4*v + 15546. List the prime factors of v.\nAnswer: 3, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2322b3 (base 15) in base 11?\nAnswer: -a46779","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*t + 3 = 2*g, -3*g + 0*t + 973 = -2*t + 994 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2 + (-10186)\/4)\/2. Let r = d - -1240. Let a = r - -1423\/44. Which is greater: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 + 1 + -2 + 86 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 8*u**2 - 1. Let l be r(1). Suppose b - 33 = 2*b - 10*b + 39. Is l bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.15 in -2.4, -156\/5, -115\/3?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -75*d**3 + 4*d**2 - d**2 + 0*d**2.\nAnswer: -75*d**3 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 463*b + 30. Suppose -32*i + 10 = -27*i, -2*v = 3*i - 8. What are the prime factors of n(v)?\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.631672 decades to centuries.\nAnswer: 0.0631672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 99?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5856160 divided by 1171232.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 47, 40, 31, 20?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = -5*a - 13 - 11, -3*n + 28 = -5*a. Let b be (n - -1)*(-3 - (-41)\/2). Suppose -b = 4*d - 1019. What are the prime factors of d?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 14427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2714 or 1204429\/444?\nAnswer: 1204429\/444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-6)\/3 - -6 - -2. Let y = -2 + v. Solve -j = -2*j - y for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -22 - -20. Let m(n) = -n**3 - 3*n**2 - n + 1. What is m(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 121919167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 times -357.74?\nAnswer: 715.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12925 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.05?  (a) -71  (b) 0  (c) 0.4  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -18194.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 92708587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y**2 + y - 5. Let l be p(-3). Which is bigger: l or -3\/62?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) -0.3  (b) 17.4  (c) -23\/22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -4*o**2 - 9*o + 20. Let d(s) = s**2 + s - 1. What is 6*d(j) + x(j)?\nAnswer: 2*j**2 - 3*j + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15174950*a**3 + 4 - 4 + 15175114*a**3.\nAnswer: 164*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-384)\/(-10) + (-4)\/10. Let r = 60 - s. Calculate the least common multiple of 8 and r.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gcufuccxfgii. Give prob of picking 1 i and 2 c.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 38717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -34323, -34320, -34317?\nAnswer: -34314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -341*u - 4257 + 6067 = -3646 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(500) + 0 - sqrt(720)*1).\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 13400 + -5707. What are the prime factors of v?\nAnswer: 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the first derivative of -11*u**4\/4 + u**3\/3 - u + 1. Let l be (78\/(-12) - -8)*6\/9. Calculate f(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -2*r**3 + 22*r**2 - 20*r + 3. Let p be t(10). Suppose 21 = q - 3*x, p*q + 0*q - 111 = -3*x. Calculate the remainder when q is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -b (base 16) to base 8\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.02 times 537?\nAnswer: -10.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 33483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 61.79838 kilometers in micrometers?\nAnswer: 61798380000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 127.2 - 0.\nAnswer: 127.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2035 and 1111055.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 18892 and 18892?\nAnswer: 18892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -19*t + 247. Calculate the remainder when g(0) is divided by 67.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 76268.65 tonnes?\nAnswer: 76268650000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*f = -144 - 16. Solve f*v = 9*v + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 25299, 25300, 25301, 25302, 25303, 25304?\nAnswer: 25305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -z**2. Let l(g) = -143234690*g. What is l(i(y))?\nAnswer: 143234690*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**3 - 27*m**2 - 2*m - 58. Suppose -11*d - 108 = -7*d. Let a be w(d). Let n be 32*(-1)\/9 - a. Which is greater: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 2\/13*f**3 - 1152\/13*f + 96\/13*f**2.\nAnswer: -2*f*(f - 24)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1528?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 15315*w + 240*w**2 - 15315*w to s + u*w**2 + j*w and give u.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2\/3 - 5\/21. Let y = -719\/13 + 3569\/65. What is the third biggest value in h, 0.4, y, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -66.4251035 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 67809229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 25 = 79. Find the second derivative of v + 9*r**5 + 4*r + 17 - 35 wrt r.\nAnswer: 180*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**1)**(-7)*(u*u*u*u**4*u)\/u*u**(-2\/19) assuming u is positive.\nAnswer: u**(-2\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*p**3 + 9*p - 9*p + (1 + 2*p - 1)*(3*p - 2*p + 0*p)*(-1 + 1 - p).\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tkzh when four letters picked without replacement from {k: 3, z: 4, t: 1, h: 5}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 48024112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 0.12 times -0.0719\nAnswer: -0.008628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 77, 90, 105, 122, 141?\n\"Answer: z**2 + 10*z + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2943 and 31311.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(1088) - 1*sqrt(1088))**2 - sqrt(1088)) + sqrt(1088))*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -37954 or -265668\/7?\nAnswer: -265668\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 168*c - 15177 + 11985 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 139*d - 6 = 138*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -141*t**2 + 58*t + 173. Let s be c(-3). What is s rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 - 17.73?\nAnswer: -0.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 133 in 2, -5, 492?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8 - 12. Let u = -22.2 + 22. What is the biggest value in 0.3, u, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 15 + -14 - 1\/(1\/(-4)). Suppose -2928 = -y*r + 2417. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -0.4, -2\/13, 3\/112 in decreasing order.\nAnswer: 1, 3\/112, -2\/13, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -84 - -142. List the prime factors of j.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-301)\/(-86)*(-12)\/(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5 - -3 - -8) + (-3 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 6082.701 litres in millilitres?\nAnswer: 6082701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 18369899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-786)\/28 - 10\/(-50). Let f = 242\/7 + r. Let d = 190 - 187. Calculate the common denominator of d and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00002931054 rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 1492208 to the nearest one thousand.\nAnswer: 1492000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -29 divided by -9976292?\nAnswer: 29\/9976292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*p = 3905 - 2913 for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 14?  (a) -0.6  (b) -4  (c) -16  (d) -0.58\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lk when two letters picked without replacement from kkllklllllkkkp.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.072?  (a) 0.3  (b) 0.1  (c) 23733\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 56 + -1 - ((-3 - (13 + -35)) + -7)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 0 + 34b6?\nAnswer: 34b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -19173*k**3 + k**2 + 2*k + 1. Let l be p(-1). Let y = l - 958761\/50. Find the common denominator of (440\/24)\/((-1)\/(3\/(-2))) and y.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6 + 15. Calculate the remainder when (3\/18*-26)\/((-1)\/6) is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4, -3.005, 0, -118, 4.8?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 312297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 100\/53 - -3881\/106. Find the common denominator of g and -95\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 6 + 5)*(-9 + 2 - 3)*(-2*r + 0*r + r)*(4*r + 0*r - 2*r).\nAnswer: -40*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hg when two letters picked without replacement from tthtththhttgt?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*b - b - 2*b)*(-24 - 43 + 39)*(6 - 7 - 1)*(b - 2 + 2).\nAnswer: -392*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 10 - -1024513?\nAnswer: 1024523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 10 + -9 + -1*5. Is -1 + 39 + 3 + d a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - q**2 - 1 + (2 + 0 - 5)*(2*q**2 - 2*q**2 - 2*q**2) - 1002 - 58*q**2 + 1002.\nAnswer: -53*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1\/(-1 - -2) - (2 + -80)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18078024 to the power of 1\/2, to the nearest integer?\nAnswer: 4252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -230, -2, 4, 5 in descending order.\nAnswer: 5, 4, -2, -230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3075 + 3074. Which is smaller: k or -276?\nAnswer: -276","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 36\/21*(-14)\/(-4). Let o(j) = -j**2 + 8*j - 9. Let t be o(z). Sort -4, -5, t in descending order.\nAnswer: t, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 3 + 11 = 0. Let h(q) = -3 + 5 - 5 - 2*q + 0 - q**3 - 3*q**2. Is h(m) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/402 and 11\/1815452.\nAnswer: 364905852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + o + 85 = 0, -o + 119 = 5*t + 3*o. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v**2 + 5*v**2 - 5*v**2)*(-3*v + 0*v + 4*v) - v**3 - v**3 + 3*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*p + 4*w + 1 - 2, -3*w = -4*p - 1. Let k be 1\/1 + -1 + p + 3. Solve -2*q - k*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/8 - (-495)\/(-306).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 43 is divided by 27.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -91*y = 9*y - 828390 + 134490. List the prime factors of y.\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 56800843.\nAnswer: 11, 107, 48259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -222*n**3 + 77*n + 229. What is the units digit of r(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p = -4*f + 3*f - 17, -p - 3*f - 11 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2133912559?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7 - 5. Let g be 0 - (-21)\/6*l. Calculate the greatest common divisor of g and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 take away 233126175373?\nAnswer: -233126175381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -10?  (a) 0.01  (b) 125  (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1224 and 24684?\nAnswer: 148104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 131963*t**2 + 2096*t + 88 wrt t.\nAnswer: 263926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 60 = -5*n, 0*n + n - 21 = 2*y. Suppose -5*k - 20 = 5*f, -10 - n = -5*k + 4*f. List the prime factors of 1 + 9 + k + 1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2437033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, w: 1, g: 2, q: 9}. Give prob of sequence gg.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 31\/6 of a decade?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q**(-35)*q)\/(q**(-15)\/q))**(-2\/3))**14 assuming q is positive.\nAnswer: q**168","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10 - 1000010?\nAnswer: -1000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -61*w = -174 - 1351. What is the remainder when 7098 is divided by w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 151547097 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1 + (1 - 4 - -8))\/(-2). Let g be (-6)\/(-39) + 6\/117*q. Solve g*v = -v + 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 7 = 4*x, 2*x - 4*x + 1 = u. Let a = x + 1. Solve 4*m + 6 - a = i, 5*i = -2*m - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 2*f = 10 + 6, 2*k - 3*f - 20 = 0. Solve 0 = o + k*o + 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -79760 = 648*t + 349*t for t.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1435 is divided by 312.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 458, -8, 0, 14, -7 in increasing order.\nAnswer: -8, -7, 0, 14, 458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8 and 44636.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (432\/405)\/((-14)\/(-21)*-1)\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 2*f**3 - 19*f**2 + 13*f - 36. What is d(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3458314043 to the power of 1\/3, to the nearest integer?\nAnswer: 1512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 989\/(-115) + (7 - 8) and (-52)\/14 - (-4)\/2?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1669235 times 0.2?\nAnswer: -0.0333847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -95*f - 5660 = 33*f - 1015 + 347 for f.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(-17) - 16720\/(-646). Let g be 1 + 1 + (-78)\/(-3). Let i = g - p. Let r(j) = 3*j. Calculate r(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.3 from -0.7871.\nAnswer: -1.0871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 23210 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: What is prob of sequence ohfe when four letters picked without replacement from {e: 3, o: 7, h: 1, f: 4, t: 1}?\nAnswer: 1\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1\/(-4))\/(4\/12)*-4. Let r(g) = 14*g + g**2 - 21*g - 2*g**3 + 9*g + g**o. Let s be r(-2). Solve 3*h + l = -12, 2*h + 2*l + s = l for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17122085977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*s**5\/3 - 21208*s**4\/3 + 3674128*s**3\/3 + 131269088*s**2\/3 + 317217280*s\/3 + 139091456\/3 = 0. What is s?\nAnswer: -28, -2, -4\/7, 394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 44*o - 473. Calculate m(11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:21 PM and 1:32 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 35\/(-42)*(-16238)\/(-230) - (-4)\/(-24)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*t**3 - 4 + 14*t**3 + 2 - 2*t**3 + 7*t**2 - 3*t**3 - 3*t**4 - 5*t to z*t**3 + d*t**4 + o + q*t**2 + l*t and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -244611505.5 + 1670197043.5. Let h = a - 1425585544.20000109. Let b = h + 6.2. Round b to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2819 - 2819 - 55*u + (2 + 2 - 3)*(0*u + u + 0*u) in the form s*u + r and give s.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 334 + -331. What is the first derivative of -23*w**4 - 1184*w**3 + 15 + 1184*w**h wrt w?\nAnswer: -92*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*f + 11*f + 21*f.\nAnswer: 23*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-69*m + 69*m - 7*m**2)*(-4 - 4*m**2 + 4).\nAnswer: 28*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 134 - 141. Suppose 0 = -a - b - 3*b + 18, 2*a - 1 = -b. Let f = -11\/21 - -2\/3. What is the closest to 0 in a, t, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 359245.\nAnswer: 5, 71849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 - 2. Suppose 11 = o*a - 7. What is the remainder when 10 is divided by (-1)\/2 - a\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12995429477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6.4 + 6.3. Which is the closest to -2?  (a) 3  (b) h  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m**4 - 184556*m**3 + 2129637492*m**2 - 19147732660*m - 46815491800 = 0 for m.\nAnswer: -2, 11, 23065","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -2 + 2 - -1*4. Suppose -54 = -2*j - 4*m, 2*j + 2*m - 5*m = 75. Suppose -q*i = -175 - j. Is i a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 17\/4 + 11\/(-44). Is w\/6*(-7 - -58) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 930079.1um in centimeters?\nAnswer: 93.00791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -340 = -48*v - 52 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -215 = 2*y + p, y - 2*p + 105 = -0*p. Let d = 167 + y. Is 10 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2671914055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*h + 11*h + 12 = 0. Suppose -h*i - 9 = 0, 31 = 4*d - 4*i - i. Solve -9*u = -d*u - 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1185*s + 14993 = -1174*s. Does 29 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2727957 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: What is 4120 (base 14) in base 13?\nAnswer: 5137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*q**2 - 2*q + 2*q + (-2 + 2 - 1)*(3*q**2 - 5*q**2 + q**2) + (0 - 1 - 1)*(-4*q**2 - 3*q + 3*q).\nAnswer: 11*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 17 - 9 = 3*u, -2*s - 2*u = -10. Let j = 1 + -1. Which is the third biggest value?  (a) 1.5  (b) 5  (c) s  (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1040026*t + 1040005*t - 420 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000050664466 to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express g**3 + 0*g**3 + g**3 + (0*g - 2*g + 4*g)*(-4*g**2 + 3*g**2 - 3*g**2) in the form v*g**3 + p + a*g**2 + r*g and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 minutes after 8:10 PM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((1 + sqrt(720))**2 + 2) - (sqrt(5) + sqrt(80) + -2 + sqrt(605)*-5)**2.\nAnswer: -16119 - 320*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -14670500 (base 8) in base 9?\nAnswer: -6307530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/7 or -3.11?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2288 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + s - 1 + (-4*s - s + 4*s)*(-2 + 2 + 1) + 5 - 5 + 2*s + 7*s + s - s - 4*s + 3*s + 3*s)*(2 + 9 - 2).\nAnswer: 99*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**1*l*l)**(-39)*(l**(-2)\/l)**28*(l\/(l*l**(2\/3))*l)\/l*l**(-2\/17)*(l\/l**1)**(3\/38) assuming l is positive.\nAnswer: l**(-10291\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-64)\/112)\/((-708)\/(-84) + -11)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2958, 2966, 2974, 2982?\nAnswer: 2990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 22 - 18. Let n(h) = -h**2 + 6*h - 4. Calculate n(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 2*s - 2. Let f(g) = g - 1. Let r(d) = -5*f(d) + 3*k(d). Let o(v) = -v**2 - 3*v + 9. Let h(w) = o(w) + 3*r(w). Differentiate h(j) with respect to j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1036.0267 - -1045.026661. Let p = s + -9. Round p to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 68\/96029 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2*2\/(8\/6). Suppose x - 8 = -2*q, 2*q + 2 - 4 = -4*x. Suppose 0 = -4*r + q + v. Which is the nearest to 0?  (a) 0.2  (b) 0.5  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2*h + 2)*(h**2 + 0*h**2 + 0*h**2 + (4*h - 5*h + 0*h)*(-3 + 3 + 2*h) - 2*h**2 + 3*h - 3*h).\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2121.2 + 2120.8. Which is the closest to 2\/5?  (a) -2\/7  (b) -2  (c) l  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 4*a**3 - 16*a**2 + 7*a + 13. Give f(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -410*l**2 + 4*l + 2. Let h be c(-3). Round h to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 24*k**2 + k - 1. Calculate the remainder when h(2) is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the first derivative of 46*x**5\/5 - x**4\/2 - 47*x**3\/3 - 4*x**2 - 547. What is the third derivative of p(f) wrt f?\nAnswer: 1104*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 2*k**2 - 12*k - 79. Calculate the remainder when 121 is divided by v(-5).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-65)\/(-15) + -4)\/(12\/1944). Put -5, -4, a, 4 in descending order.\nAnswer: a, 4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -24756 - -1017?\nAnswer: -23737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 24 + l**3 - 2*l**2 - 2*l**3 - 30 to the form y*l**2 + c*l**3 + g*l + i and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 108569.\nAnswer: 151, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u + 2*u = -5*l + 4, -1 = -3*l - 2*u for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 801*n**5 - 478*n**4 - 2*n**3 + 3193452*n**2 wrt n.\nAnswer: 48060*n**2 - 11472*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 19 - (1 - 10 - (49 + -95)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, h: 1, g: 5, j: 1, u: 1}. What is prob of picking 1 j, 1 h, and 1 u?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 p and 1 g when four letters picked without replacement from {g: 9, p: 11}.\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**9\/(t*t**(2\/5)*t) assuming t is positive.\nAnswer: t**(33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**3 + 13*r**2 - 23*r + 6. Give s(-14).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b + 53*z - 57*z + 28 = 0, 2*b - 3*z + 4 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -27.74 * -0.1.\nAnswer: 2.774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 267206 is divided by 66782.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8274402 to the nearest integer?\nAnswer: 2877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that 10*g**4\/3 + 5*g**3\/3 - 55*g**2 - 80*g\/3 + 80\/3 = 0.\nAnswer: -4, -1, 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 23576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the third derivative of -1\/420*i**5 + 1\/1470*i**7 + 0*i + 21*i**2 + 1\/56*i**4 + 0 - 1\/280*i**6 + 0*i**3. Factor d(o).\nAnswer: o*(o - 3)*(o - 1)*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 139, 216, 293?\nAnswer: 370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 2 + 30*h + 25*h.\nAnswer: 55*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 2*c = -73, -p + 3*c - 4*c = -25. Suppose -5*h - 26 - 9 = -2*k, 5*k + 4*h - 71 = 0. Let d = k + -7. What is the remainder when p is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-20 - 12) + (-93 - -70 - -5)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.1 and -1.6393?\nAnswer: 0.16393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (13002\/4137)\/(22\/(-84)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2504919.\nAnswer: 3, 139, 6007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -846, -832, -794, -720, -598?\nAnswer: -416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by -481547?\nAnswer: -1\/481547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 121189 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (56316\/684)\/((-39)\/(-18))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*s + 1419 = 12*s. Suppose -7*m + s = 123. What is the highest common factor of 450 and m?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 195 is divided by 94.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 14*n**2 - 1. Let k be z(-1). Let h = 1456 + -52457\/36. What is the common denominator of (250\/2)\/(1 - k) and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 198215\/13 + -15247. Let j = 196\/767 - 6\/59. Factor s*o + j*o**2 + 2\/13.\nAnswer: 2*(o + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(130)*2 - (sqrt(130) + sqrt(130) + -4*(sqrt(130) - 2*sqrt(130) - sqrt(130) - sqrt(130))))\/((-1*sqrt(100))\/sqrt(10)*4))**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 23 - 378\/(-18) - -3?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43408061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Find f, given that f**5\/2 + 179*f**4 - 5643*f**3 - 12176*f**2 + 11285*f\/2 + 11997 = 0.\nAnswer: -387, -2, -1, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = 3*o - 67, -4*t = -3*o - 0*o - 85. Suppose 0 = -s + 9 + t. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.69 - -1.6. Let m = -12.236 - -12.386. Which is the third smallest value?  (a) m  (b) q  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 3*m**2 + 3*m - 3. Let g(v) = -2*v**3 - 8*v**2 + v**3 + 7 - 8*v + 1. Calculate 3*g(x) + 8*n(x).\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2663*k**5*y**3 - 2*k**2*y**3 + 31*k*y**2 - 68*y**3 wrt k?\nAnswer: -53260*k**3*y**3 - 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 157*l - 4*r + 15 = 156*l, 0 = 4*l - 5*r + 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) be the second derivative of -5\/6*i**3 + 7*i + 1\/12*i**4 - i**2 + 0 + 1\/20*i**5. Determine p(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 648 is divided by 133?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -2*r - 12. Let i be d(-15). Let y = i - 15. Find the third derivative of y*c**5 - 5*c**2 - 3*c + 2*c + c wrt c.\nAnswer: 180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 5*n + 1. Let a(f) = 11*f + 2. Give 2*a(w) - 5*t(w).\nAnswer: -3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -d - 4*n - 13, -5*d + 65 = -n. Let z = 1252 - -124. Let x = -1280 + z. Calculate the greatest common divisor of x and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (45\/(-27))\/(-5) - 4\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -18*i + 9*i + 2310*i**2 + 9*i to m + r*i**2 + z*i and give r.\nAnswer: 2310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1099 - -1129) + -6 + -1.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63 = 4*w - 29. Suppose -11 = -3*b - 68. Let i = w - b. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1.312039ms?\nAnswer: 0.001312039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 75300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 192 + -253.8. Let n = 225 + -182.1. Let a = i + n. What is a rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -e7ec (base 16) in base 15?\nAnswer: -128d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2652.003118 + -2652. What is y rounded to 4 decimal places?\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 747?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 551 (base 7) to base 3\nAnswer: 101102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in g - 578*g**3 - 385 + 22*g**2 + 385.\nAnswer: -578*g**3 + 22*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**2 + 2*z + 3. Let a(s) be the second derivative of 19\/6*s**3 - 7*s**2 + 0 + s**4 + 20*s + 1\/20*s**5. Let c be a(-10). What is x(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4081 is divided by 1223.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1344 and 3088.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 126\/(-54)*7512\/100786?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:49 PM and 10:04 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -59\/456794 and -203\/390?\nAnswer: 6851910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (x - 15 + 3 - 6)*(-2 + 5 + 0) in the form g*x + p and give p.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -10*l - 10*l + 8*l. Let v(m) be the second derivative of -m**3\/3 + 61*m. Give d(v(u)).\nAnswer: 24*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.3  (b) -173  (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -o**4 + 113648*o**3 + 43345*o**2?\nAnswer: -24*o + 681888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -3, 14, 43, 84, 137?\n\"Answer: 6*k**2 - k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(180) - (sqrt(180) + 0 + -4)) + sqrt(180) + -1.\nAnswer: 3 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 25980.22 minutes?\nAnswer: 1558813200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (39*x + 23*x**2 - 39*x)*(-12*x**3 - 193*x**2 + 193*x**2).\nAnswer: -276*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.248 greater than or equal to 193.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of (-10)\/2*(-3 - -1) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the third derivative of 17*c**4\/12 - c**3\/3 + 8*c**2. Let y be f(3). Let v = y + -56. What is v rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5  (b) 8  (c) 0.4  (d) 14  (e) -228\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-480)\/(-228) + 4\/(-38). Suppose -3*p - 5*z + 4 = o, 0 = -5*p - 4*z + 25. Suppose 10*c = p*c + 427. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29585?\nAnswer: 5, 61, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 35 - 34.999999472. Round v to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 9426150.95878 from -0.03.\nAnswer: -9426150.98878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 5 = 2*j, 4 = -2*j + 4*f - 0. Let r be (6\/(-5))\/(12\/30). Let x be (0\/((-10)\/5))\/r. Solve x = -3*b - j*b + 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/(-8)*12\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 490 and 277620?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 43*o**4 - 2*o**2 + 301 wrt o?\nAnswer: 172*o**3 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:28 PM and 2:39 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.14318 rounded to two decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -2*d + 68. Is f(14) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2.029, -0.64, 5, -1, -0.386 in increasing order.\nAnswer: -1, -0.64, -0.386, 2.029, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 y when two letters picked without replacement from {d: 2, m: 1, y: 9, p: 2}?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/n**(17\/3)*n)\/n**(11\/5)*(n*n**(3\/13))\/((n\/(n\/(n*(n\/(n*n\/(n*n\/(n\/(n**(-30)*n))*n*n)*n))\/n))*n)\/n) assuming n is positive.\nAnswer: n**(4556\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 16307\/25729 - -6\/2339. What is the biggest value in 25, 2, a?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1253, -2535, -3829, -5141, -6477, -7843?\n\"Answer: -c**3 - 1275*c + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 2*u**3 - 46*u**2 + 27. Let w be s(23). Calculate the least common multiple of 30 and 13*-9*(-18)\/w.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0007904784 to seven dps.\nAnswer: -0.0007905","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o*o\/o**6*o*o)\/o)\/(o\/o**(-3\/8)*o))\/(o*o\/o**(1\/4))**(-5\/3) assuming o is positive.\nAnswer: o**(-59\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:00 AM and 1:46 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -36 + 40. Let g = 5 - 7. Let o be (8 - 12)*(-2)\/g. Put o, d, 3 in decreasing order.\nAnswer: d, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*u**2 - 42540*u + 810065.\nAnswer: -5*(u - 19)*(u + 8527)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -247 + 395*s + 247.\nAnswer: 395*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -105 and -2.2017848?\nAnswer: 102.7982152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 48229 is divided by 17175?\nAnswer: 13879","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 350*n + 375. Calculate h(-4).\nAnswer: -1025","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*h + 5*h + 0*h + (1 - 1 + 1)*(2*h + 0*h - 3*h) - h - h + h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 275*m - 1918033 = 1112620 + 650222. Is 9 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v - 1. Let u be a(-5). Let z(y) = -y**3 + 3*y**2 + 6*y - 6. Let j be z(4). Suppose -2*b + 3*x = -79, 0*b - j*b = u*x - 58. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20 - 513*c - 523*c + 21 - 516*c - 59 + 22 + 1557*c.\nAnswer: 5*c + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yii when three letters picked without replacement from {i: 13, y: 5}.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -62*v - 178. Let c be k(-3). Solve -c = 13*z + 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.8 and 76987?\nAnswer: 76986.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 1669093*r - 5007273. What is g(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -u**6 + 2*u**5 - 119*u**2 + 2*u. Let o(z) = 3*z**6 - 7*z**5 + 358*z**2 - 7*z. Let r(q) = -7*m(q) - 2*o(q). Find the third derivative of r(s) wrt s.\nAnswer: 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 350928 is divided by 241?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.007771667 rounded to 6 decimal places?\nAnswer: 0.007772","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 19493 to the power of 1\/2, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uouu. What is prob of picking 1 u and 1 o?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 1, c: 2, j: 2, l: 1, n: 5, t: 4}. Give prob of picking 1 p, 1 t, and 1 l.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -271 + 301 = -3*z. Sort 1, z, 3, 4.\nAnswer: z, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 2*r**3 - 30*r**2 - 6*r - 22. Determine v(15).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 0 - -773?\nAnswer: 773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*p = -4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 28184 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a centimeter in millimeters?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 37.4 or -13470?\nAnswer: -13470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -308286*z**5 - z**4 - 5*z**2 - 295740*z - 30.\nAnswer: -6165720*z**3 - 12*z**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 258 divided by -578177.\nAnswer: -258\/578177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-6*(-5 + sqrt(19) + 1) + (sqrt(19) + sqrt(38)\/sqrt(2)*-5 + sqrt(19) - (1 + sqrt(19) + 0))).\nAnswer: -60*sqrt(19) + 138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*s**4 + 3*s**4 + s**5 + (0*s**2 + 4*s**2 - 3*s**2)*(s**3 + 0*s**2 + 0*s**2) + 3*s**5 + 68*s**3 - 51*s**3 + s**5.\nAnswer: 6*s**5 + 17*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-57)\/4 + 1)\/(31\/(-124))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o + 22*k = -189 + 197, -3*o + 10*k = 24 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 9633 to the power of 1\/2, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 2, e: 2, r: 2, m: 1, o: 1}. What is prob of picking 2 r and 1 m?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -60 + 45 + (6 - -1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 3*w**2 + 26122 - 4*w + 4*w - 26122. Let z(n) = -156*n**2 + 4. What is z(r(y))?\nAnswer: -1404*y**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1683 and 233784?\nAnswer: 2571624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 93 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is f in -28*f**4 + 36*f**3 + 48*f**2 - 16*f = 0?\nAnswer: -1, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6 and 8482.\nAnswer: 25446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*x = 396 - 144. Let d(m) = -m**2 + 22*m - 16. Let i be d(x). What is the closest to 1 in i, 2\/11, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (276\/(-126) + 2)*(55\/10 - 1)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 9*t - 1. Suppose -60 = 6395*r - 6360*r - 445. What is the remainder when a(6) is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 22925 + -9605. Is o a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k - k + 0*k)*(-3*k**3 + k**3 - k**3) + (-k**2 - 2*k**2 + 0*k**2)*(-5*k + 2*k + 4*k)*(k - 4*k + 2*k).\nAnswer: 9*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41 = 5*k + 4*q - 9, -62 = -3*k + 4*q. Solve -57*z = -k*z - 215 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is a (base 11) in base 12?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*p + 4*p + 508 = 0. Let k be 3*p\/27 - (-4)\/(-18). What is the highest common divisor of k and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 951 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (((sqrt(117) - (sqrt(117) - 2*sqrt(117))) + sqrt(117))\/sqrt(9))**2 + sqrt(13).\nAnswer: sqrt(13) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 2*k**2 + 8*k + 7. Let s(p) = -5*p**2 + 3*p + 1. Let i be s(3). Let a = -24 - i. Calculate the remainder when z(-6) is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 + -5 - -9 - 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (q - 2*q - 2*q)*(-3*q**2 + 0*q**2 - 2*q**2) + (0 - 2 + 0)*(0*q**3 + q**3 + q**3) to n + w*q**2 + z*q + o*q**3 and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000020876 to seven dps.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -398*r + 394*r + z = -35134, 0 = -4*r + 2*z + 35140. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-3058)\/12 + (-2)\/12. Let j = l - -368. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 68284413 less than 0.387885?\nAnswer: -68284412.612115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1136051*v**3 + 13*v + 24711?\nAnswer: -6816306*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 16925234 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2566 + -2558. Put x, 1\/4, 1, -7 in descending order.\nAnswer: x, 1, 1\/4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**0)**46\/((y*y\/((y*(y*(y\/(y*y\/(y*y\/y**(-11))*y*y*y))\/y)\/y)\/y))\/(y\/y**(12\/7))) assuming y is positive.\nAnswer: y**(37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 37.43 - 3\nAnswer: 34.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12 - 12020100?\nAnswer: -12020011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z - 7. Let s be a(8). Suppose 0 = -j + 3 + s, d - 2*j = -7. Solve m + 15 + 9 = 4*g, -m = g - d for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -134 - -137. Suppose -36*g**2 + 15 - 4*g**4 - 30*g**3 + 2*g**4 + 9*g**5 - 9 + 8*g**4 - o*g = 0. Calculate g.\nAnswer: -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = u**3 - 7*u**2 + 5*u - 3. Let o = 13 - 6. Let k be l(o). Let t = k + -12. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 6593 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1.4 - 1.1. Which is the smallest value?  (a) -3  (b) p  (c) 4\/5  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 19 - -10. Let j(k) = 2*k**2 + 7*k. Let m be j(-6). Let n = 186 + -186. Solve 2*u = 5*y - r, n*u + 5*u = 4*y - m for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 1*sqrt(63))**2 + 5 + 3 + sqrt(14)\/sqrt(2).\nAnswer: 25*sqrt(7) + 87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15*i - 36 + 36)*(2*i - i + 2*i) + i**2 - i**2 - i**2 - 3*i**2 + 2 - 3*i + 3*i.\nAnswer: 41*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*x = -16*x + 12. Let g be 6*((-12)\/378)\/(x\/3). Suppose -a = a. Which is bigger: g or a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -5\/7, -1516, 0.5?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 95 = -2817*t + 2836*t. Solve -2*q - t*c - 7 = 0, -3*q - 8*c = -5*c - 3 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1*874\nAnswer: 874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l + 84 = 5*w + 4*l, 0 = -3*l + 3. Suppose 0 = -5*k - 2*q + 3760, -2*k + 2517 - 1013 = 5*q. Calculate the greatest common divisor of w and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 + 1 - (6 + -5)) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x**3 - 11*x**2 - 7*x + 1. What is o(-10)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 116, -0.048, -1, -2, 6\/5 in decreasing order.\nAnswer: 116, 6\/5, -0.048, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 3101972*g + 1. Let t(r) = -2*r. What is t(v(o))?\nAnswer: -6203944*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -5247565508414 minus 0.2?\nAnswer: -5247565508414.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(450))\/sqrt(9) - -3*(sqrt(50) + sqrt(500)\/sqrt(10)))\/(-5*-4*-3*sqrt(810)).\nAnswer: -sqrt(5)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: ((21\/147)\/(2\/(-4)))\/(48\/(-28))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 516\/420 + (-2)\/(42\/9).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yep when three letters picked without replacement from qyepepqppyyyyyqyueup.\nAnswer: 7\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 109\/4 + -27. What is the smallest value in q, 0, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 1, 5.1, 1\/3, 2\/33, -0.5, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -69*z**2 + 1451*z + 21. Calculate u(21).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2745802361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 576 minutes after 10:44 AM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in 61885, -2\/11, -1\/3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -0.0964 times 0.3\nAnswer: -0.02892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:29 PM and 9:53 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 + 5. Suppose -i + 9 = n*h, -5*i - 2 = h + 1. Solve 3*k = 12, -3*p - h*k + 0 = 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 + 7 + -1 + -6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6618 by 25304.\nAnswer: 3309\/12652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1538 = 85*o - 433 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that -4*a**3 + 159956*a**2 - 3517580*a + 19344028 = 0.\nAnswer: 11, 39967","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 10*p - 3*l = 20, 0 = -3*p + 5*l + 28. Let b = p + 61. Is 31 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 4164*b. Let x(c) = 2*c**2. Calculate n(x(i)).\nAnswer: 8328*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-7)\/(7\/(-2)) + 0. Let b(h) = -4*h. Let y(g) be the first derivative of g**2\/2 - g - 1. Let c(u) = -b(u) + y(u). What is c(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 13, -48, -209, -518, -1023?\nAnswer: -1772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 less than or equal to 136\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-306 + 558 - 349)*(4*k + 4*k - 5*k) to the form g + u*k and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 424080598 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ijififjid. Give prob of sequence diif.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 151930 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1194484 (base 12) to base 15.\nAnswer: 47b01d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 90\/(-225)*((-90)\/(-5))\/(-3)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -9171*d**2*p**4 - 22*d**2*p - 164*d**2 wrt p.\nAnswer: -110052*d**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 585 minutes before 3:56 AM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1926 - -1946. Solve -n = y - 17 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 0 + 550?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 143.011845 microseconds?\nAnswer: 0.0000000016552296875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 9 and 747?\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z + 3. Let t = -4 + 4. Let d be b(t). Factor -i**d + i**3 - i**3 + i.\nAnswer: -i*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 210644669 is divided by 92?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1429*s**4*w + 11*s**4 + 322*s*w - 26251797*w with respect to s.\nAnswer: 5716*s**3*w + 44*s**3 + 322*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-306)\/36 - -7)*(-3)\/(-27). Let y = -1 + 1.2. Which is the nearest to l?  (a) 0.5  (b) 1  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 385 is divided by 9\/(-15) + 354\/15.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 56014948*o - 56014948*o + 29820*o**2 to k*o**2 + r*o + b and give k.\nAnswer: 29820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the first derivative of -f**2\/2 + f - 1. Let d be m(-3). Suppose 27 = -b + d*b. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -13097 - -13096. Which is greater: j or -54\/203?\nAnswer: -54\/203","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 40\/(-1 + (-15)\/(-10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*n**3 + 29*n - 29*n)*(-n - n + 4*n)*(3 - 3 - 4) to m + w*n**2 + k*n**3 + b*n + u*n**4 and give u.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-2\/9)\/j*(j*j**(-2\/37))\/j assuming j is positive.\nAnswer: j**(-425\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000011920927 to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*j**4\/13 + 58*j**3\/13 + 192*j**2\/13.\nAnswer: -2*j**2*(j - 32)*(j + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39*c - 1571 - 611 - 1132.\nAnswer: 39*c - 3314","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 867180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 16232821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 1066, 2117, 3168, 4219, 5270, 6321?\n\"Answer: 1051*d + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1168 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*z**2 - 8*z**2 + 38*z**2)*(-4*z + 3*z + 3*z) + 2*z**2 - 2*z**2 - 4*z**3 + (z - 2*z + 2*z)*(4*z**2 + 0*z**2 - 3*z**2) + 2*z**3 - 4*z**3 + 0*z**3.\nAnswer: 63*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2357801?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b - 16 = -3*g, 0*g - 5*g + 20 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 263238 and 803.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 805846 - -91587. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(2 + (-3 + 2*sqrt(98) + sqrt(98))*-3*-1)**2.\nAnswer: -15974 + 1764*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-44 - -42) + (2 + -2 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 33019 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o - 1 + 1)*(-3*o**2 + 2*o**3 + 3*o**2) - 20886*o + 20886*o - 575*o**4 + 0*o**3 + 0*o**3 + 2*o**4.\nAnswer: -575*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:18 PM and 2:54 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 974960 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -16538 <= -16538?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 124323341 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -21 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 18923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -128 - -215. Suppose -22 + 258 = 2*b. Let k = b - o. What are the prime factors of k?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 89 (base 16) to base 8\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 169 and 4770.\nAnswer: 806130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 5*v**2. Let j(x) = -12*x**2 + 43*x + 22*x**2 - 28*x - 13*x**2. Calculate d(j(q)).\nAnswer: 45*q**4 - 450*q**3 + 1125*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 3*s**2 + 693*s + 40. Let w(b) = -24*b**2 - 5544*b - 324. Let q(x) = -81*n(x) - 10*w(x). Determine z, given that q(z) = 0.\nAnswer: -231, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -145*x**3 + 41*x**2 + 41*x + 2. Let w be n(-1). Solve 61*r = w + 36 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5827, -4350, -2873, -1396, 81?\nAnswer: 1558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a**2 - 6960*a - 48671 = 0.\nAnswer: -6953, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 519, 403, 209, -63, -413, -841, -1347?\n\"Answer: -39*x**2 + x + 557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2\/13  (b) -3  (c) -5\/4  (d) -2\/7  (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-16)\/12*(-9)\/6. What is the second derivative of 0*u**o + u**2 + 30*u + 2*u**3 - 15*u + 27*u wrt u?\nAnswer: 12*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 5 + 13 + 2*s**2 - 21. Let u be (4\/3)\/((-5)\/(-75)*-2). Let z(k) = k**2 - 1. Determine u*z(j) + 4*g(j).\nAnswer: -2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -387 + 390. Solve 10 = 5*l, -2*t + 18 = -f*l + 8*l for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.257 - 26983302?\nAnswer: -26983295.743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4992, -7478, -11612, -17388, -24800, -33842, -44508, -56792?\nAnswer: -70688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:47 PM and 9:35 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 3*m - 0*m. Suppose 0 = -14*w + m*w - 140. Let t = -11 - w. What is the highest common divisor of 72 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1101 (base 3) in base 9?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1995 + -13?\nAnswer: -19a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 225, 1523, 4811, 11013, 21053, 35855, 56343, 83441?\n\"Answer: 154*p**3 + 71*p**2 + 7*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 104 - 222 + 118 + 12*k.\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4435\/4 - 33837\/28. Let v = k + 100. Which is the third smallest value?  (a) 3  (b) 4  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = w. Suppose -2*z - 12 = -8*z. Let t(f) = 45*f - f**z - 45*f. Let r(d) = -5*a(d) - 5*t(d). What is the second derivative of r(l) wrt l?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 - 5. Suppose v = 4*a - 300 - 40. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 281537 and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 149 minutes after 3:02 AM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 72*b**3 - 32*b**2 + 41*b + 87. Determine t(-2).\nAnswer: -699","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4 + -3. Let v(u) = 2*u**2 + 10*u + 10. Is 20 a factor of v(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 1602756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 7) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 117 or 235\/2?\nAnswer: 235\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**3 + r**2 - 9*r + 13. Let i be o(5). Let t be (-10)\/4*i\/110. Which is the second biggest value?  (a) t  (b) 4  (c) -1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*g = -43*g + 5*d - 61, 4*d - 20 = 0. Solve 18 = 12*o - g*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate ((101\/707 + (-8)\/7)*0)\/5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 371*l - 373*l - 16 = 3*g + 13, -41 = -4*l + 3*g for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 602783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l**3 + 3*l**2 + 3*l - 4. Calculate q(5).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 93094631?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -2 + 2 - 2116*w - 2850*w + 1298*w. Let h(r) = -5*r**2. Calculate p(h(q)).\nAnswer: 18340*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 205913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 108377 + 570918. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c**2 + c - 157. Give r(9).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2612 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence plqe when four letters picked without replacement from {q: 1, p: 5, e: 4, l: 4, b: 5}.\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1010 - 4301?\nAnswer: -10311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 162, 237, 306, 369, 426, 477?\n\"Answer: -3*b**2 + 84*b + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1 and 99.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:11 PM and 1:53 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from beabaeaa. What is prob of sequence beb?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -41510 times -5?\nAnswer: 207550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -1\/5, -4, -7, 17, 1\/4, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 103 - 35471?\nAnswer: -3536a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**3 - 17*c**2 + 6*c - 100. Give g(17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence px when two letters picked without replacement from {t: 8, l: 5, p: 1, x: 4}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l**2 - 6*l + 1. Let s = -1 - -2. Let d = 4 + s. Calculate i(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 69105212?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Let p = 125 + -181. Which is smaller: p or -55?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*u = 7*u. What is the hundreds digit of 98 - u - (-105)\/35?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16 + 37*a + 75 - 15 - 19 - 11 - 16.\nAnswer: 37*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 36206, 36207, 36208, 36209, 36210, 36211?\nAnswer: 36212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-196135 + 196135 + 3499*z)*(7 - 3 - 2)*(0 + 3 - 4).\nAnswer: -6998*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -83\/214694586 and 13\/10.\nAnswer: 1073472930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 14 - 9. Solve 15 = c - 6*c - o*v, v = 4*c + 7 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 26 = -2*g, 2*i - 2 = -2*g - 2*g. Suppose 5*u + 133 = 2*p, -7*u + 3*u = -g*p + 189. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -454*r - 3070 = 3786 + 9097 + 4931 for r.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*v + 4*y - 32, -14*v - 53*y - 59 = -54*y for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2 + -23100312033?\nAnswer: -23100312040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -12\/1519 + 259797\/6076. Let n = 43 - i. What is the closest to -2 in -0.2, n, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 41 - 47 - 128\/56*22\/(-8).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 119*y - 5238 = -66*y - 9*y for y.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y*y\/y**18)\/y*y**(-9))\/(y**(-6\/11)*y*(y**(-21)*y)\/y))**(5\/11) assuming y is positive.\nAnswer: y**(-300\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1994 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/2*r**2 - 1\/2*r + 1\/2*r**3 - 1\/2.\nAnswer: (r - 1)*(r + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (sqrt(833) + 0 - sqrt(833)) + sqrt(833) - (sqrt(833) - (sqrt(833) + 2*sqrt(833)))*-6)**2 - (sqrt(833) + -2*(-2 + sqrt(833)))*-2.\nAnswer: 448*sqrt(17) + 100810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one quarter of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -102*l**2. Let f(x) = -366*x. Give a(f(z)).\nAnswer: -13663512*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 660 and 64620.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.04934?  (a) -1  (b) -3\/4  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -2.1238546868 and 74.2?\nAnswer: 76.3238546868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = -4*t - 128, -3*t + 0*t + 3*w - 114 = 0. Let z = -32 - t. What is the tens digit of ((-64)\/(-20))\/(z\/30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(17)*-1)**2 + (sqrt(51) + sqrt(816) - sqrt(51))\/sqrt(3).\nAnswer: 26 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z - 12 = 0, 4*j + 4*z + 6 = 18 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -0.14 * 1213.8686\nAnswer: -169.941604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.5 + 1.3. Let o = 0 + -0.2. Let t = v - o. Which is the second smallest value?  (a) 2  (b) -2  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**2 - 6*r. Let v be x(-6). Suppose v*m = -m. Suppose -p + 6*p = m. Solve 2*g + p*g - 4 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -27 - (45 + -174 + -16) - 44?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 43711847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*a = -38 + 74. Suppose t + 2*t - 12 = 0. Suppose 5*w - t*w = -2*l + 37, -4*w - l = -113. Solve -3*u + 3*n + w = 0, -a*u - 17 = -0*u + 5*n for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 11c19 + -189?\nAnswer: 11a90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 552946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3.43?  (a) 11  (b) -4450  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1 + 15186 - (81 - 68)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((75\/(-35))\/(-5))\/(12\/8).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = -4*d, -2*d + q - 4*q = 10. Suppose -3*j + 13 - d = 0. Find the second derivative of -2*a - a**j + a + a**4 + 2*a**4 wrt a.\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26.0411301 nanoseconds in days?\nAnswer: 0.00000000000030140196875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r - 446 = -3*r - 4*u, 2*r = 2*u + 316. Let g = r + -315\/2. Find the common denominator of g and 213\/(-12) - 1\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 31350\/13, -2 in descending order.\nAnswer: 31350\/13, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, 117, 4, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 0.21734 times 0.0282\nAnswer: 0.006128988","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5521195?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**2 - 2*l - 3. Let u be v(3). Factor 72 - 76*d + d**2 + u*d - 6*d**2 + 9*d**2.\nAnswer: 4*(d - 18)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 + (-29 - 0 - (-167 + 156 - (-19 - -3)))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**0*l*l)\/l**14)\/(l**(-6)*l)**8 assuming l is positive.\nAnswer: l**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y + 15. Let d be o(0). Let z be 2\/(-8) + 123\/12. What is the highest common divisor of d and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -17, 4, -8, -221.8, 1 in descending order.\nAnswer: 4, 1, -2, -8, -17, -221.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2779 is divided by 920?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 57978542 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(110)*2 - sqrt(110)) + sqrt(110) + sqrt(110))*4)\/(4*sqrt(360) + sqrt(360) + sqrt(360)) + 2 + -5 + sqrt(99) + 0 + 2)**2.\nAnswer: -20*sqrt(11)\/3 + 1109\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 841 is divided by 141.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 (base 10) in base 15?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21980.\nAnswer: 2, 5, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 2 - z + 4 + 2*z. Suppose 0 = 5*f + 4*x + 15, 2*f - 3*x = 4*f + 6. Let u be (-1)\/4*-4*f. Calculate j(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 4445859*r + 4445844. Determine x(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 5686 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 71.98 + -108.3. Let f = -34.943 + -0.057. Let y = f - h. What is y rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 357 + 3508. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the second derivative of -c**3\/3 + c**2 - 4*c. Let n be v(-3). Solve 3*m = -2*i + 4*i - n, 2*i + 4 = -3*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 22*t**2 - 2*t - 3. Let p(s) = 11*s**2 - s - 1. Let v(z) = -5*p(z) + 2*u(z). Let i be (15 + -13)\/((5\/2)\/((-45)\/(-36))). Give v(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -2*i - 24. Let h be f(-12). Suppose h = 10*q - 15*q - 15. Let b be ((-40)\/28)\/(q\/42) - 4. Does 12 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*a = 35862 + 19732. What is the thousands digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 163 divided by 163\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j\/(j\/((j**(-4\/5)\/j*j)\/j))*j*j**0\/j*j assuming j is positive.\nAnswer: j**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the second derivative of -a**5\/20 + 3*a**3\/2 + 14*a. What is the second derivative of q(r) wrt r?\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 5*d - 45 = -3*k, 3*d = -9. What is the greatest common divisor of 12 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*d + 0*d + d**2)*(-8*d + 6*d + 5*d).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 128 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 199*i + 59. Determine o(3).\nAnswer: 656","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s**5\/17 + 94*s**4\/17 + 660*s**3\/17 - 1160*s**2\/17 - 6128*s\/17 + 10176\/17 = 0. Calculate s.\nAnswer: -6, -4, 2, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(32)*-2*-4)**2 + sqrt(160)\/(1*sqrt(5)) - sqrt(192)\/((sqrt(66) + sqrt(66)*-2)\/sqrt(11)).\nAnswer: 8*sqrt(2) + 2048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 706263.6 decades in years?\nAnswer: 7062636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6268\/(-1217559))\/(4\/42)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 56*h = -82*h + 27*h - 3219 for h.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) be the first derivative of n**3\/12 - 9*n**2\/8 + 7*n\/2 + 96. Factor s(y).\nAnswer: (y - 7)*(y - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1957*y - 337*y = -243*y - 30410 + 117971 for y.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 3*i**2 - i - 2. Let g be h(5). Suppose 4*o = -0*o + g. Suppose 3*z + o = 2*k, -2*z + 2 = -4*z. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/(-2))\/(((-60)\/(-8))\/(18\/15)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 3 y when four letters picked without replacement from yuiyyuyiy.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 38*w - 86. What is the hundreds digit of d(36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 208477 and 815?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 756, -7, -3 in decreasing order.\nAnswer: 756, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 548415 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -4*i*n**2 - 1629*i*n - 2*i + 2*n**2 - n + 1428 wrt n.\nAnswer: -8*i*n - 1629*i + 4*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Total of -3933 and 0.8615214.\nAnswer: -3932.1384786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -460*q**4 + 16*q**2 + 17*q + 2. Let n(d) = 307*d**4 - 10*d**2 - 11*d - 1. Let o(u) = 8*n(u) + 5*y(u). Find the second derivative of o(t) wrt t.\nAnswer: 1872*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - -4 - -2 - (93 - 87)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 1, d: 7, g: 12}. Give prob of sequence ggnd.\nAnswer: 77\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 381385957 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: Calculate the remainder when 37 is divided by ((-4)\/(-24)*56)\/((-4)\/(-6)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49 = 9*j - 95. Let a be 2\/8 - (-28)\/j. Solve 0 = a*c - c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(26)\/(sqrt(200)*3) + ((0 + sqrt(13)*-1)*-5)**2.\nAnswer: sqrt(13)\/30 + 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m**2 - m - 1. Let q be 5 + -3 - 20\/(-2). Let x(r) = r**4 - 5*r**3 + 5*r**2 - 3*r + 6. Let w(f) = q*p(f) + 3*x(f). Factor w(j).\nAnswer: 3*(j - 2)*(j - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13867541 (base 10) in base 4?\nAnswer: 310321220111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -20 - -11. Let g = 16 + a. Solve -15 = -3*b - 5*u, 4*u - g - 18 = -5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 3, a: 3}. What is prob of picking 3 a and 1 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -9*v**2. Let j(b) be the third derivative of -b**4\/24 - 6*b**2. Determine j(k(h)).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 8 = -5*z, -3*z + 0*c - 2*c - 4 = 0. Let n(x) = x**3 - x + 11. What is the tens digit of n(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 777779 is divided by 9593.\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -1894, -1\/8, 2\/19 in decreasing order.\nAnswer: 2\/19, -1\/8, -1894","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that -233523*l**5 + 1864836*l**4 - 4877211*l**3 + 4133202*l**2 + 60012*l + 216 = 0.\nAnswer: -2\/279, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 335 = -f + 379, -2*g = -3*f + 2134. Let c be f\/15 - (-4)\/6. Suppose -l + c = 3*i, 4*i - 2*l - 64 = -7*l. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 572770528 or 572770527?\nAnswer: 572770527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 64, 0.8, -112857, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r + 9. Let n = -4 - -10. Calculate the smallest common multiple of ((21\/6 - 2)*-6)\/(-1) and t(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32686 - 15205 = -5*i + 7599. Is 12 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**2\/5 - 12*t\/5 + 16\/5.\nAnswer: 2*(t - 4)*(t - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 49fa + 1?\nAnswer: 49fb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -851 + 846. What is the nearest to -0.1 in 2\/3, -28.6, k?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 52*c**4 + 288*c**3 + 348*c**2 + 112*c.\nAnswer: 4*c*(c + 1)*(c + 4)*(13*c + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 51825214.\nAnswer: 2, 7, 17, 12809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -163506*a**2 - 4549 + 4549.\nAnswer: -163506*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 22*f**2 - 92*f - 119. What is b(5)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (36\/4 - 9) + 656 is divided by 67.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (140 - 4)\/(4 - 5). Let y = l + 141. Let n(c) = -3*c - 1. What is n(y)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 10347 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - -0.777596866.\nAnswer: 5.777596866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.7 + -1.1. Suppose 0 = 2*h + 3*h. Put r, h, -2\/3 in decreasing order.\nAnswer: h, r, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 8*l. Suppose 4*d - 4*j - 12 = 0, 6*j - 28 = -4*d + 2*j. Let t(v) = -d*v - 2*v + 0*v + v. Give a(t(z)).\nAnswer: -48*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*-3*(1 + sqrt(605) + sqrt(605) - sqrt(605) - (sqrt(80)\/sqrt(2))\/sqrt(8)).\nAnswer: 9 + 90*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -3*m**2 + 5. Let j(k) = -4*k**2 + 7. Let r(c) = -7*d(c) + 5*j(c). Suppose 2*p - 2 = p. Let f(y) = 3*y**p - 3*y**2 - 2*y**2. Calculate f(r(h)).\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23 - (28 - (11 - 20)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -31*r - 10. Suppose 5*t + 4 = -b, 3*t + 19 = -5*b - 1. Let u be j(b). Suppose -k + u = -3*q, 3*k + 0*k - q - 374 = 0. Does 32 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: 0 (base 5) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 128.0538 - 128. What is j rounded to three dps?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -81 divided by 14.\nAnswer: -81\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -32 + 66. Let r be 2 - (64\/f + 0). Let s = -0.2 + -0.8. Which is the biggest value?  (a) s  (b) r  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -128647 to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, q: 4, b: 4, y: 7, m: 4}. What is prob of sequence qmy?\nAnswer: 14\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 50\/31426143 and -109\/70.\nAnswer: 314261430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 716249.8mm to meters.\nAnswer: 716.2498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 2, -2\/11, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -385.627 - -385. Let r = 37.307 + n. Let j = 38 - r. Round j to 1 decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (49632\/112)\/33 - 48\/15*20\/8?\nAnswer: 38\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 - 8 = 4*s. Let p(b) = -4*b + 2*b - 38 + 15 + 5*b + 16. Calculate p(s).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 32 + (-41 - 1) + -24.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1  (b) 1  (c) 0.232\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 629270, 629811, 630350, 630887, 631422, 631955?\n\"Answer: -f**2 + 544*f + 628727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 9, 5, 523, 0, -2 in decreasing order.\nAnswer: 523, 9, 5, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 244*k + 151226 - 594818 = 0. What is the highest common divisor of 234 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + x = -136, -2*z + 257 = x - 0*x. Suppose -w = 5*k - 88 + 309, -3*k - w = z. What is k rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**2 + 3*g + 12. Suppose -9*p + 6*p = -15. Let v be w(p). Find the third derivative of 6*u**2 + u**3 + 3*u**3 + 6*u**3 + 3*u**v wrt u.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -526*y - 32 = -534*y. Solve 5*o + i - 9 = -2, 5*i = y*o + 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -2*n + 4*r + 44, 0 = 5*r + 20. Let d(i) be the first derivative of i**3\/3 - 4*i**2 + 8*i + 1. Give d(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 94.18 less than -0.3582?\nAnswer: -94.5382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -161\/3564 and -167\/113613840?\nAnswer: 1249752240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) be the second derivative of -1\/33*w**3 + 0*w**2 + 1\/33*w**4 + 0 + 2*w - 1\/110*w**5. Factor y(q).\nAnswer: -2*q*(q - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-12)\/10)\/((-92)\/(-690)). Let d be (-6)\/j - (-15)\/(-9). Put d, 2, 5 in increasing order.\nAnswer: d, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in two ninths of a day?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 34\/5 of a hour in minutes?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -19, -12, 5780 in decreasing order.\nAnswer: 5780, 2, -12, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 157700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 193 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 3*y = -10. Let a = -0.48 - -0.5. Let x = a - -0.18. What is the second smallest value in 0.3, x, y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3705 and 9165.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 751069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:32 PM and 6:59 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -11372, -22744, -34116, -45488, -56860?\n\"Answer: -11372*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the first derivative of 59*i - 39 - 1\/2*i**2 - 69\/4*i**4 + 0*i**3. Find the second derivative of b(l) wrt l.\nAnswer: -414*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 2 + 0)*(-1 + 2 + 7)*(-86 + a**4 - 161*a**2 + 86) in the form x*a**4 + n + t*a**3 + p*a + d*a**2 and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 2*z**2 - 12846*z - 595094. What is a(-46)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {i: 5, y: 11, k: 2, x: 1}?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2\/2347 or -1?\nAnswer: 2\/2347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.29  (b) 17  (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15483082.\nAnswer: 2, 7741541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 127*h - 1. Let z(c) = -c + 1. Give -b(w) - z(w).\nAnswer: -126*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3\/2, 276\/53, 2\/33?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -17, -1, 6 in decreasing order.\nAnswer: 6, 5, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 668, 0.01, -23, 2\/5, -0.34 in ascending order.\nAnswer: -23, -0.34, 0.01, 2\/5, 668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -166 + 164 - (-1 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 31, 5, 1 in descending order.\nAnswer: 31, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14399?\nAnswer: 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 517 minutes after 2:26 PM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 1 + 3)*(3*z + 2*z - 2*z) - 1 + 1 + 2*z + (1 - 2 - 1)*(-z + 2*z - 2*z) + 2*z + 0*z - 4*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 8 = -6*r. Is 14 a factor of ((-126)\/(-36))\/(r\/16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 199*m - 258 - 95*m + m**2 + 238 - 105*m.\nAnswer: (m - 5)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -86*p - 2171 + 4493 = 0 for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 547691015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z**5\/2 + 771*z**4\/4 - 1945*z**3\/4 + 147*z**2 + 149*z = 0 for z.\nAnswer: -2\/5, 0, 1, 2, 149\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the first derivative of -u**3\/3 + 3*u**2 - 5*u - 8. What is d(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3525 and 141.\nAnswer: 3525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (37*u**2 + 129*u**2 + 63*u**2)*(3*u - 3*u + u) to the form b*u**2 + j*u**3 + n*u + i and give j.\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 4 = x. Let f(w) = -3*w + 6*w**x + w**2 - w**3 - w**2. What is the units digit of f(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15 - -68) + -82 + -1 + 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-2664)\/(-222)*(-114)\/(-48)*2\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-22)\/(-55))\/((-54)\/20*(-148)\/(-111))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 5*i = 3*c + 95, 4*c + 104 = 3*i. Let o = c + 29. Let b(q) = -5 - q + 6 + 8. What is b(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = 2*t + 51, -44 = 4*t - a + 83. Let s be (4 + t\/9)\/1. Suppose u**3 - 1\/3*u**4 + s*u - u**2 + 0 = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-18 - -1 - (2 - 4)) + -44 + 36.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mool when four letters picked without replacement from moulmolomolom?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**(-10)*g\/g**(-1\/9)*g*g)**6*((g*g**(7\/5))\/g)\/g**(-2\/7)*g*g*(g\/g**(2\/19))\/g*g*g\/g**5 assuming g is positive.\nAnswer: g**(-69332\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-2)\/4)\/((-34)\/(-16) + -2). Let x(g) = -g**3 - 5*g**2 - 6*g - 5. Let a be x(u). Solve 0 = -2*b + a + 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 5*r**2 - 15*r - 17. Let f(w) = -w - 1. Let b(a) = 4*f(a) + i(a). Let y(m) be the first derivative of b(m). Differentiate y(d) with respect to d.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 104*q - 101*q + 12. What is the nearest to -1 in q, 8, 4\/5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1032)\/(-903) + 6722\/(-14). Is l bigger than -476?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 84324732073.146 - 84326047489.34599973. Let x = l - -1315417. Let z = x + -0.8. What is z rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 198207731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -100*q**5 - 43*q - 8 + 12 - 5 wrt q?\nAnswer: -2000*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 54.00112 + -54. Round l to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1003, 7663, 25737, 60931, 118951, 205503, 326293, 487027?\n\"Answer: 951*v**3 + v**2 + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 10*q**3 + q**2 + q - 2. Let x be i(2). Find the third derivative of x*o**2 + 41*o**3 + 22*o**3 + 54*o**2 wrt o.\nAnswer: 378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1110267999\/350 - -3172190. Let t = -41\/25 - l. Calculate the common denominator of -117\/40 and t.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -13*p + 4. Let m(j) = j. Let r(c) = 2*l(c) + 22*m(c). Let s be r(0). Solve -s = n - 5*k, -2*n - 4*k + 10 = -n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n**2 + 2*n + 267. Give g(-15).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - 7) + (0 - (-7 - -12) - 1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9\/(-3)*(144\/378)\/(12\/(-336)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/3?  (a) 372  (b) 0  (c) 0.1  (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 3 + 1)*(260*c**2 - 133764 + 133764).\nAnswer: -780*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.4633 and 30?\nAnswer: 29.5367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17597549 is divided by 589?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the third derivative of 5*m**9\/168 + 11*m**5\/30 + 11*m**2. Find the third derivative of j(v) wrt v.\nAnswer: 1800*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**3 - 6*b**2 - b - 3. Let r be g(-6). Suppose -r*s - 3 = -4*s. Suppose -s*x + 0 = -6. Solve 5*n = t + 6, -2*t = n + x*n - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 38 = -o. Let c = -14 - -14. Suppose c = -g - 4*a - 24 + 80, 5*g - 160 = 4*a. What is the remainder when g is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 - -3b51?\nAnswer: 3b4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2 - -3. Solve -3*y + 5*v - 10 = 0, k*y + v + 0*v + 26 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*k - k. Let 3 + k*d**2 - 2 - 5 + d**2 = 0. What is d?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 308486.\nAnswer: 2, 154243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 6833206\/210 + 4\/6. Let d = 12355869094\/379715 - b. Let h = -1\/571 + d. Put 2\/7, -2\/3, h in decreasing order.\nAnswer: 2\/7, h, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16752780115 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 + 1. Let y be 3*u\/(-24)*-30. Calculate the greatest common divisor of 6 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55739297 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is (-462294)\/(-72) + (-3)\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110110010101100101101110000 + 101?\nAnswer: 110110010101100101101110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -2750*i + 2750*i + 4*i**2. Let x(h) = 27*h**2. Calculate x(a(r)).\nAnswer: 432*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 5*t - 26 = -p, 0 = 3*t + 3. Let r = p - 7. Solve 5*f = 5, r*y - y - 3*f = 1 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a kilometer in millimeters?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 516 divided by 26?\nAnswer: 258\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*m - 5*m + 5 - 4)*(m + 0*m - 2*m).\nAnswer: 2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = p**2 - 146*p + 2096. Determine z(130).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -563374054*u**4 + 298527461*u**2 wrt u?\nAnswer: -13520977296*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-2)\/1 - -3) + -1. Suppose 5*n - 7 - 13 = q. Is 6 a factor of n\/(-3)*18\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zffz when four letters picked without replacement from {z: 5, u: 5, q: 3, f: 2}?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1701.1 and 42624856?\nAnswer: 42626557.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -5\/120363 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-48048)\/(-32) - 6\/4. Solve -2 = 1502*v - c*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 + 304.6706.\nAnswer: 305.6706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 101*p - 841 = 119 - 51 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 781092 and 348?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -549 = -5*s + b, 3*b + 155 + 62 = 2*s. Calculate the greatest common factor of 5 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/8 of a gram in milligrams?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 3*f**3 - 59*f**2 - 18*f - 18. Give j(20).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-5)*n**(-1\/5))\/(n**(-2\/5)\/n**(-5)) assuming n is positive.\nAnswer: n**(-49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((12*z + 32*z - 10*z)*(-4 + 3 - 1) - z + z + 2*z)*((-4*z**4 - z + z)*(2 - 4 + 1) - 5*z**4 + 3*z**4 + 3*z**4).\nAnswer: -330*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4*(-2859)\/(-12)*1. Suppose 333 = -4*v + l. Let h be (-9)\/3 + 2 + v. What is the greatest common factor of 14 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 130242 + -2063?\nAnswer: 125146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 51770 and 5487?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 641456 and 94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the second derivative of 11*i**4\/12 + 68*i. Let a(f) = 2*f**2. Determine a(g(d)).\nAnswer: 242*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z**2 + z + 56. Let l be k(0). Let d = l + -10. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -32 + 1?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 224483?\nAnswer: 7, 32069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ij when two letters picked without replacement from {i: 8, s: 4, j: 1}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, -25.8, 0 in increasing order.\nAnswer: -25.8, -11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 1 - 20)*(-3*q + 2*q + 2*q + (3 + 1 - 1)*(-4 + q + 4) + q + q - q)*(-5 + 0 + 3).\nAnswer: 160*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*sqrt(192)\/sqrt(4) - sqrt(48) - (0 + sqrt(48) + 3 - sqrt(48)))**2 + 6*-1*sqrt(108)*1)*5.\nAnswer: -780*sqrt(3) + 6045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = -9 - 6. Which is the third biggest value?  (a) -1\/6  (b) -6  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 32 - 29. Let r be 53470\/144 + g\/24. Let p = -371 + r. What is the closest to -1\/4 in 0, p, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 44 divide 4809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -5 + 17a88596?\nAnswer: 17a88591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the first derivative of 428*s**3\/3 + 607. Let y(l) = 2*l. Give y(i(w)).\nAnswer: 856*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*s - 6*s + s**3 - 2*s**3 + (-5*s**2 - 4*s**2 - 5*s**2)*(-1 + 2*s + 1) to the form g + r*s**2 + b*s + f*s**3 and give f.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 6129232807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*i + 85 = 4*n + 14*i, 3*n + 4*i = 69. Solve 18*w - n = 35 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (8\/12)\/(36\/(-27)). What is the biggest value in -3, 2\/9, g, -34?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -17, -2, 0.00779, -0.58?\nAnswer: 0.00779","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2.4 - -0.4. Let g be (-590)\/(-30) + -12 + (-2)\/(-3)*-1. Which is the second smallest value?  (a) g  (b) y  (c) -1  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = 3*d - 8*d - 35, -2*q + 4*d + 24 = 0. Suppose -q - 4 = -2*f. Suppose -4*w - 4*c + 1252 = 0, -8 = f*c - c. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*n - 11 - 39*n - 43*n + 13*n.\nAnswer: -65*n - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 121 - 117. What is the third derivative of -a*z**6 - 2*z**6 + 6*z**2 - 6*z**6 wrt z?\nAnswer: -1440*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-21)\/(-4) - (-15)\/(-60).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 52 - 93. Let a = v + 40.95. Let s = a - -0.05000019. What is s rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 134\/105 + -8\/7. Let z = -40 - -15. Let f = 30 + z. Which is the biggest value?  (a) r  (b) f  (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2 + -201020222?\nAnswer: -201020220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 59\/40 and 41\/3400.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i, 2 e, and 1 p when four letters picked without replacement from {w: 1, v: 4, i: 3, p: 7, e: 3}?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 2531, 629, -2531, -6949, -12625, -19559?\n\"Answer: -629*f**2 - 15*f + 3175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 16\/30*(-198)\/(-264) - 47\/30?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d*d**(-2\/25))\/d)\/d)**8\/(d**(12\/11)\/(d\/(d**(1\/2)*d))) assuming d is positive.\nAnswer: d**(-5627\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 166*c + 19740 = 71*c - 23*c - 164*c for c.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*h, -2*o - h = 2*h - 38. Let u be (-2)\/(-8) + 450\/24. What is the highest common divisor of u and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38016 = 103*z - 199*z. What is the highest common factor of z and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1123002 and 954.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 66\/14 - (-10)\/35. Let m = 5 - c. Solve j + m*j - 1 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-17 - -33)*(-1 - -8). Factor -m*n - 16 - 37*n**3 - 47*n**3 - 135*n**4 - 240*n**3 - 288*n**2.\nAnswer: -(3*n + 2)**3*(5*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6 - -8. Calculate the common denominator of ((-6)\/(-8))\/(-1)*1269\/81 and 47\/(p + (3 - 16)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 18 and 414.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.2  (b) -0.5  (c) 0.049\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -608 + 348. Calculate the common denominator of 1299\/m + (-10)\/65 and -51\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 953928382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:16 AM and 12:28 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 200101112 + 20?\nAnswer: 200101202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-43)*q*q*q**(-10)\/q*q*q*((q*q*q**(2\/43))\/q)\/q*q*q*(q\/q**(2\/9))\/q assuming q is positive.\nAnswer: q**(-18644\/387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.19 - -1.09. Let b = k + -0.8956. Round b to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2552816034 to the nearest integer?\nAnswer: 1367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 15 and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.88 - -0.8. Let t = 3.08 + u. Let i = 2 - t. Which is the third biggest value?  (a) i  (b) 5  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2 + -21505?\nAnswer: -21510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -213*x**4 + 235.\nAnswer: -852*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-6)\/(-2) - -1) + 2. Suppose 4*j = m*j - 4. Suppose 4*w - d + 41 = 7*w, -3*w + 40 = j*d. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -41 - ((-7464023)\/3871)\/47?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4530 - -4529. Let m = -1.66 + 3.68. Let j = -0.02 + m. What is the nearest to n in -2, -0.4, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1027402 is divided by 1157?\nAnswer: 1143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1300071 by -1.\nAnswer: 1300071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -500 or -497?\nAnswer: -500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.03*7.52.\nAnswer: -0.2256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-48)\/(-10) - (-1 + (-8)\/(-10))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(k\/k**(2\/9)))**(-8))**(1\/46)\/((k\/k**(1\/3))**(-3\/13)*k**(1\/3)\/(k*k**(4\/3))) assuming k is positive.\nAnswer: k**(5692\/2691)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in one eighteenth of a day?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 72885183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 11\/((-250)\/(-30) + -8). Solve -d - y = 10*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 33 and 94952.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17 + -53 + 33 + (10 - 2).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*i*r*v**3 - i*r*v**2 + 13*i - r*v**3*x + r*v**2*x - r*v*x - 2*r - 23*v**3*x wrt v.\nAnswer: 12*i*r - 6*r*x - 138*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 200590 (base 12) to base 11.\nAnswer: 310585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in twenty-nine thirds of a hour?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (42 + -41)\/((-114)\/39 - -3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m - 259*w + 258*w - 25 = 0, 3*w + 88 = -4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*b**5 + 6*b**5 - b**5 + (b**4 - b**3 + b**3)*(4 + b - 4) + (2*b**2 + 2*b**2 - 2*b**2)*(b**3 - 3*b**3 + 3*b**3).\nAnswer: 8*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -3*c + 14. Let u be (-5)\/(-25) - (1 + (-3508)\/10). Suppose 0 = 49*j + j - u. Determine a(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.366 - 1?\nAnswer: -1.366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -255 + 813?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 2*f - 18 = 0. Let m = -7 - f. Suppose 4 = m*q - 8. Calculate the least common multiple of 6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2591382 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10 - 7. Suppose -f*y = -3*b - 3, 0*b + 2*b = y + 1. Solve v - b = -5 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from tfjzjjzjjwffzwwtfj.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (361\/(-19) + 18)*(-92)\/8\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -599*o**3 - 73 + 594*o**3 - 196 in the form x + a*o**2 + m*o + j*o**3 and give x.\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19 = -7*j - 54 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -6*c - 24. Let v be n(-4). Let s(w) = 8 - w + 8*w - 6*w + v*w. Determine s(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*a + 0*a - 6*a**3 + 25*a**3.\nAnswer: 19*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -40 - -36. Suppose 3*h - 4*w + 3*w + 17 = 0, -5*h + 4*w = 33. Let u be 0 + 2 + 8\/h. Which is the nearest to 1?  (a) u  (b) p  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.123, -2\/11, -7 in decreasing order.\nAnswer: 0.123, -2\/11, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = 4, -5*k + 10 = 5*l - 10*k. Factor -2*r - l*r + 8*r + 3*r**2.\nAnswer: 3*r*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(2\/5)*o)\/o*o**(3\/7)*o*o**(1\/5)*o**5\/o assuming o is positive.\nAnswer: o**(246\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 350 - 54 = 4*r. Is 29 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 - -6. Let m = 5 + -5.02. Let g = -0.42 - m. Which is the closest to -1\/2?  (a) v  (b) 0.2  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -6*t**2 - 12*t - 3. Let h(b) = -11*b**2 - 13*b + 1. Let g(r) = -13*r**2 - 13*r + 2. Let f(s) = 3*g(s) - 4*h(s). What is -4*f(l) - 3*k(l)?\nAnswer: -2*l**2 - 16*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2826 a factor of 39620520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -16, -22, -44, -88, -160?\nAnswer: -266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(44) + (4*sqrt(704))**2 + -1)*1*-4.\nAnswer: -45052 - 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -50 times -48.3822\nAnswer: 2419.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l**3 + 5*l**2 + 3*l - 4. Let j be h(-3). Suppose 0 = 5*k + j*c - 55, -c = k + 3*k - 53. Is k a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -77, -183, -449, -953, -1773?\nAnswer: -2987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 544 < 546?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 680022.7 millilitres?\nAnswer: 680.0227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 48189 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = 2*m - 3*b, -4*b - 26 + 6 = -2*m. Suppose -8*d + 8 - 8 = 0. Suppose -3*f = -3*y, 5*f - 2*y = -d*y + 6. Solve f = m*j + 6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 12 = 5*k. Let q = 6 + -4. Suppose -q = 4*f - 22. Let x(p) = -6*p + 5. Let u(w) = -5*w + 4. Determine f*u(j) + k*x(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 + -4. Let v = 0.29 - 1.29. Does u = v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 3484*a + 24. What are the prime factors of o(1)?\nAnswer: 2, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1*4\/3)\/((-6)\/9). Let g(i) = -3*i**2 - 4*i**2 - 5*i**r. Let n(s) = 21 + 21 - 2*s - 42. Determine n(g(q)).\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is (2 + -1)*(1 - 2) - -6780 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u**2 + 4*u + 2. Let r be d(4). Let n(l) = 2*l + l**3 - 8*l**3 + 0*l**r + l**2 + 1. What are the prime factors of n(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/4, -4, 79, 4 in ascending order.\nAnswer: -4, 3\/4, 4, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -38 - -8. What is the smallest common multiple of 21 and 1\/2*(n\/(-5) + 48)?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = v**3. Let y(z) = -3*z**3 + 5. Let g be (178\/267)\/(4\/(-6)). Calculate g*y(n) - 6*a(n).\nAnswer: -3*n**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 147171052 and 1554.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1428564 + 1428567 - 2*p**2 - 2857131.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**2 - 2*h - 1. Let c be a(3). Suppose 0 = c*u + 3*u - 125. Let w be 140\/u + 4\/10. Solve -y + w = y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kkh when three letters picked without replacement from kkkkhkhhhkhh?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -23*d - 12284*d**4 + 6146*d**4 + 6118*d**4 - 1359 wrt d?\nAnswer: -80*d**3 - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ppllptpqppt. What is prob of picking 2 l and 1 q?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 133201 (base 4) in base 16?\nAnswer: 7e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are -92757 and -92757 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 824*n - 87506. Determine t(106).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -176 or -192?\nAnswer: -176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 572 less than 0.5751?\nAnswer: -571.4249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {z: 2, d: 10}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/15, -0.4, -2, 1\/2 in descending order.\nAnswer: 1\/2, 2\/15, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -g**2 - 13*g - 9. Let y be x(-10). Let v be (-6)\/y + 18\/63. Suppose v = 4*p - 2*p - 6. Solve -p*t = -9 + 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -2423*p**2 + 22*p - 22. Let a(t) = -1211*t**2 + 12*t - 12. Determine -11*a(r) + 6*s(r).\nAnswer: -1217*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/(12\/(-20)*-10). Let r = -5 - -6. Which is the closest to r?  (a) s  (b) -0.5  (c) 14\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -103 - 9*x**2 - 626*x + 48*x + 103.\nAnswer: -9*x**2 - 578*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -4*l - 2*l**3 + 1 + l**3 + 8*l - 3*l + 3*l**2. Let g be n(-3). What is the highest common factor of g and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -24*q*t**2 + q*t - 4*q - 5372*t**3 + 101405 wrt t.\nAnswer: -48*q*t + q - 16116*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1301702284 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -41 + 31. Is -2\/5 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 861947, 3447797, 7757547, 13791197, 21548747, 31030197, 42235547?\nAnswer: 55164797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -j**2 - 52*j - 474. Let r be k(-12). Let i = 8 - 4. Let d be ((-4)\/r)\/(i\/(-78)). Is -1\/2 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -9 + 8.8. Which is the third smallest value?  (a) 5  (b) n  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 550\/3 - 183. Which is the closest to 0.1?  (a) i  (b) 0.4  (c) 7  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2317219440?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -17637 + 30038. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 0 + 4 - 2*c + 0 wrt c?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17\/2505 and -47\/4227?\nAnswer: 3529545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -339 - -771?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1 - 7*o**3 + o**3 - 51*o**4 - 11*o**2 + 56*o**4 + 11*o**2 + 51*o**2 wrt o?\nAnswer: 120*o - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s, 1 g, and 2 y when four letters picked without replacement from myygmeesxxemy.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 24*s - 4. Calculate n(2).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 4) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -n + 1040*n**3 - 21882421 + 21882421.\nAnswer: 1040*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x*(x**(-16)\/x*x*x)\/x)**9\/((x*x**(1\/18))\/(x*((x**(-1\/6)\/x)\/x)\/x)))**(4\/3) assuming x is positive.\nAnswer: x**(-4652\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 589489 (base 11) to base 10\nAnswer: 934943","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1470 + -1026. What is the greatest common factor of k and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in n**3 - 5448063*n**2 + 5448063*n**2.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -225862*l - 81273 wrt l?\nAnswer: -225862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 13519 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -30  (b) -1\/4  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -m. Let v(z) = z - 2. Let f be v(6). Suppose -4 = 2*q - 2*w, q - f*q = -w - 4. Let s(p) = 0*p - q*p + p. Give s(j(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 142 - 115. Suppose 4*p - u = -5*p. What is a in 3*a**p + 1\/2*a - 9\/4*a**2 + 0 - 5\/4*a**4 = 0?\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + q = -30. Determine s so that -18*s - 2*s**3 + 3*s**2 - 18 - 7*s**2 - 12*s - q*s**2 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.175 + 0.125. Put 0.1, z, 4\/3, -2 in descending order.\nAnswer: 4\/3, z, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 2*j = -178, 0*p - p - j = -79. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-1 + sqrt(272) + 0 + sqrt(272) + -3*(sqrt(272) + -2) + -3)**2 + -2.\nAnswer: -278 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 618034372?\nAnswer: 2, 3659, 42227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 3*k**2 - 2*k + 4. Let u(a) = 2*a**2 - a + 5. Determine -4*u(m) + 3*y(m).\nAnswer: m**2 - 2*m - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 994266128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-2)\/s)\/s)**(4\/23)*s**3\/(s**9*s)*(s**(2\/5)\/s)**(-34)*s**(-2\/35)*s*s\/s**(-8) assuming s is positive.\nAnswer: s**(18231\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 332551, 332529, 332469, 332353, 332163, 331881, 331489, 330969?\nAnswer: 330303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (3\/(-3))\/(1\/1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 140, 299, 486, 713, 992?\nAnswer: 1335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*i**2 - 62985*i - 15747 = 0.\nAnswer: -1\/4, 5249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 14*r**3 + 15*r**2 - 35*r + 7. Let q be y(4). What is the highest common divisor of 17 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2.05 * 0.7\nAnswer: -1.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(1 + (-2*sqrt(6292) + sqrt(6292) - sqrt(6292)) - sqrt(6292) - -4*(sqrt(52) + sqrt(52) + sqrt(208)\/(sqrt(4)*2))) + -5)**2.\nAnswer: -3312*sqrt(13) + 440209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 3*s = 4*x - 66, 10 = 5*s. Let z = -34 + x. Let y(f) = -f + 13. What is the tens digit of y(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = t - 2*o + 8, -779*t + 767*t = 3*o + 69 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + -2 + 2 - (-3 - (-5 - -15))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 + 5. Suppose 0 = 3*k - 3*o - 39, 2*o + 47 = 3*k + n. Calculate the remainder when 31 is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 4*v**2 - 11*v. Let f(l) = -404*l + 7. Determine f(g(p)).\nAnswer: -1616*p**2 + 4444*p + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 221020 + 10?\nAnswer: 221030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -f**3 + 6*f**2 - 6*f + 6. Let m be l(5). Let d = 1243 + -1231. Does d = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -3  (b) -0.12  (c) -2  (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1291331 divided by -229.\nAnswer: -5639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -207 or -200?\nAnswer: -207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1.9 in -5, -2\/15, -1\/2, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -14062844 minus 1983.2?\nAnswer: -14064827.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 42.9, -1.3, -76, -5, -2\/11, 0?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -17a9fe (base 16) to base 2.\nAnswer: -101111010100111111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*r - h + 9062, 0*r - 3*r - 3*h = -5442. Suppose -o + 2*o + k + 368 = 0, -5*o = -2*k + r. Round o to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 12\/25 of a microgram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 22 + t**2 + 0*t**2 - 2*t + 0*t + t. Is l(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22222 (base 3) in base 15?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5.9 + -6. Let s(p) = -p**3 + 23*p**2 + 22*p + 34. Let u be s(24). Let q be (-7)\/12 + 2 + u\/8. Which is the nearest to -0.2?  (a) q  (b) v  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 46982470 rounded to the nearest one million?\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*q + 241 - 309, 3*q = 16*m + 29 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 8104500 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -48208*z**2 + 25175*z**2 + 24123*z**2 + 1844*z**3 wrt z.\nAnswer: 11064","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -3*x + 4. Let r(f) = -f**3 - 7*f**2 - 9*f + 4. Let p be r(-3). Give d(p).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 52*i - 72*i + 80. Solve i*x + 36 = -4*l, -2*l - 2 = -4*l + 3*x for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v**3 - 4*v**2 + 2*v - 15. Let s be q(-5). Let d = -6 + 16. Solve d = -5*r - s*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*p**3 + 0*p**3 - 2*p**3)*(1 + 1 - 4) + 3 + 3*p**3 - 3 + (6*p + 0 + 0)*(84*p**2 - 48*p**2 - 41*p**2) - 2*p**3 + 0 + 0.\nAnswer: -33*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 166 minutes after 1:16 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 82.43612696 to 1 decimal place.\nAnswer: 82.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 8*y**3 - 6*y**2 + 406*y + 1253. Give o(-3).\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000245875 to seven dps.\nAnswer: 0.0002459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**(-3))**(-29\/4)\/(a**16\/(a\/a**(-17))) assuming a is positive.\nAnswer: a**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 67324 is divided by 1530.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that 5*p**3 + 370*p**2 - 760*p = 0.\nAnswer: -76, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in -5, 0.053, -1\/6?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -167\/1208 - -2\/151. Let y = -10\/9 - -11\/18. Which is the nearest to y?  (a) 0.2  (b) -0.5  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -139.952 and -11.\nAnswer: 1539.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out 7 * 34.\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19777 = -433*z + 435*z + 5*p, 3*z + 5*p - 29648 = 0. What is the remainder when z is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-6436)\/(-14) + (-6)\/(-21). Suppose -2*w + 1114 = -y, -y - m = -w + 99. Suppose -4*q = -q - w. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 115644850, 115644848, 115644846?\n\"Answer: -2*x + 115644852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 656.257 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from teteeet. Give prob of picking 2 t.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11688690?\nAnswer: 2, 3, 5, 13, 17, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 14290630?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5579993 - -3922639. Let y = c - -2787354. What is y rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2cae (base 15) in base 10?\nAnswer: -9614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 - -5. What is the nearest to 1\/4 in -0.1, -3\/4, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 10 - 5. Suppose 0 = -n*b + 37 - 7. What is the lowest common multiple of b and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*t**2 - 1 - 12*t - 16 + 8 = 0. What is t?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-1\/3))**(-3\/25)\/(j**(-3\/2)*j**(-4)*j) assuming j is positive.\nAnswer: j**(227\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -97927 times 0.6\nAnswer: -58756.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 4, r: 6, b: 2, i: 4, g: 1, p: 1}. Give prob of sequence rgip.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 190, 167, 152, 145, 146?\n\"Answer: 4*g**2 - 35*g + 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 143*s + 4846. Calculate v(-34).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000349796 to 7 dps.\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 54131*i - 108256*i + 54136*i + 15.\nAnswer: 11*i + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g + 36 = -2*g + 4*y, 3*g - 9*y = -447 + 366 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -475*k**2*s + k**2 + k*s + 2*s - 18 wrt k?\nAnswer: -950*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 290327.2 decades?\nAnswer: 2903272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -137.76 rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = 3*r - 20, -r = 5*x - 65. Let t = 4568 + -4562. What is the least common multiple of t and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5451 and 414?\nAnswer: 32706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4 - -a40a22?\nAnswer: a40a26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3.97 - 3.719. Let l = f + -0.291. Let d = -1.6 - 5.4. Is d not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 64620?\nAnswer: 2, 3, 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 310 minutes before 5:46 AM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 3*s**3 - 7*s**2 + 8. Let a(v) = -4*v**3 + 8*v**2 - v - 9. Let z be (-2 + 5)\/(-3) - -3. Let q(y) = z*a(y) + 3*j(y). Determine q(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p**3 + 119*p**2 + 453*p - 16. Let m be a(-4). Let c(x) = -x**3 + 11*x**2 + 4*x + 97. Give c(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 111 (base 4) to base 12\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 666646714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x + 18 = -2*j, 83*j + 4 = 2*x + 79*j for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 49 divide 188013?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, -0.3, -4\/25, 4, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1829\/45 + 191\/5. What is the common denominator of 1\/15 and u?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 367070375, 734140752, 1101211129?\nAnswer: 1468281506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/50*215\/(-43)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000003803 to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 4*b + 10. Let o = -32 - -32. Suppose 5*u + 0*u = 90. What is the remainder when u is divided by p(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 248*c**2 - 30. Let n(g) = -284*g**2 - 282*g**2 - 274*g**2 + 839*g**2. Give n(l(y)).\nAnswer: -61504*y**4 + 14880*y**2 - 900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the third derivative of c**4\/8 + 5*c**3\/6 - 3*c**2. Is g(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 0 - 334*u**2 + 333*u**2 - 15 + 5*u. What is b(6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the second derivative of 7*h**4\/12 + h**3\/6 + 4*h**2 - h. Let v(z) = 2 - 7 + z + 9 + 7*z**2 - 3*z**2. What is -5*v(m) + 3*w(m)?\nAnswer: m**2 - 2*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*g**2 + 525 + 523 - 1569 + 521.\nAnswer: -13*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 40 a factor of ((-3)\/(-4))\/((-65)\/(-1975220)) + 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 108431 = 831*y - 430. What is the remainder when 297 is divided by y?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.81 - -0.51. Let n be (-132)\/(-90) - 2\/3. Let m = 6\/29 + -76\/87. What is the nearest to t in -3, n, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1, 510, 15\/22, 4, -4, -0.2, -2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from ljjjjjjlilljjjljjjji?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -3  (b) 4  (c) 439  (d) 44  (e) -0.1  (f) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 4, -2\/13, -0.01, 1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -4*h**3 + 189*h**2 - 24*h - 1093. What is p(47)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 198169569 and 117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 19 + -16. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1411, 2554, 3577, 4480, 5263, 5926, 6469?\nAnswer: 6892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 128*u - 129*u = -5. Let n(k) = 9*k - 9. Calculate the smallest common multiple of n(u) and 28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 81.94722 to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/(-75)*1\/(-3)*-5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 237 + -184. Suppose -l = 4*o - 29, 2*l - o + 4 - u = 0. Solve 3*a = -n + 5, 5*a - l = -5*n - 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3580273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(147))**2 - (sqrt(3) - (sqrt(3) - (sqrt(3) + sqrt(240)\/sqrt(5) + sqrt(3)))).\nAnswer: -6*sqrt(3) + 2352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 12 = g, 0*g - 5*g = 2*z - 11. Let b(k) = 18*k + 121. Let h be b(z). Let x(d) = -d - 7. What is x(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -420.58525 rounded to the nearest ten?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 80950 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -33*l + 61. Let y be a(-15). Calculate the lowest common multiple of 36\/(-10) + 4 + y\/10 and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -92 - -34. Let u = z - -80. Solve -5*g - u = 3*h, -h - g = 4*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 364 (base 7) to base 10\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 269*r**3 + 50*r**2 - 6. Let h(i) = 2*i**3 - i**2 - 1. Let t(s) = -6*h(s) + l(s). Find the third derivative of t(c) wrt c.\nAnswer: 1542","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n - 5 = -5*j, 990 = -2*j - 23*n + 1034 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1110 + -696. Is f a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 7983.50593 to the nearest 10.\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -d**3 + 3*d**2 + 3*d + 5. Let s = -3 + 7. Let p be n(s). Let i = -189 - -189. Solve -c - 4 - p = i for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 6802 + 7386*t**3 - 417*t + 206*t + 211*t + 925*t**3 wrt t?\nAnswer: 24933*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the third derivative of 0 + 0*m + 0*m**5 - 2*m**2 + 1\/6*m**3 + 0*m**4 - 1\/120*m**6. What is the first derivative of n(d) wrt d?\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 1047*v**2. Let q(h) be the first derivative of -5*h**2\/2 + 9707. Calculate q(u(s)).\nAnswer: -5235*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 9870829 not equal to 9870829?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -90594.999957103 + 90595. Round v to 7 decimal places.\nAnswer: 0.0000429","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*p - 106943 = 2052698. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -d**3 + 2*d**3 + 0*d**3 - 78*d**2 + 11*d**3 + 78*d**2 - 2*d**3 + 0*d**3 + 3*d**3 + (-d + 0*d + 0*d)*(3*d - 2*d**2 - 3*d).\nAnswer: 15*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 39.84 + 0.16. Let h = u - 40.1. Suppose 12 = 39*n - 35*n. What is the closest to 0.1 in 1\/2, h, n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from llll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -30*x**5 - 19*x**5 + 7*x**2 + 15*x**6 + 4*x**4 + 49*x**5 wrt x.\nAnswer: 1800*x**3 + 96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 18808 or 18807?\nAnswer: 18808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-36)\/(-8))\/(9\/12). What is the smallest common multiple of 14\/3 + (-4)\/z and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/4964780 and -76\/32379?\nAnswer: 14894340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3 - -1 - (-252)\/(-70). Which is the third biggest value?  (a) 7\/5  (b) 1  (c) u  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 22 = -5*x + 2, -3*x + 5*c - 4 = 0. Let b(q) = 2*q + q**2 - 7 + 5 + 3. Calculate b(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 5 + (1 - (-4)\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -548273\/222285 + -2\/14819. Let n = o + 14\/5. Let f(k) = k. Let m be f(-6). Which is the nearest to m?  (a) 1\/4  (b) -3  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:22 PM and 9:26 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.72 - -0.02. Let q = 0.3 + p. Sort -1, q, -0.5 in decreasing order.\nAnswer: q, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 54263 - 19042. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1933 - 1931. Solve -3*s + 16 = -p, y*s + p - 12 = 3*p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1339492?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*j - 2*b - 130, 5*j - 4*b + b - 165 = 0. What is the remainder when 118 is divided by j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/5 equal to -2\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - ((12 - (33 - 10)) + 10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -137*f**3 + 136*f**3 + 11*f + 6*f**2 + 8 - 18. Let w(i) = 2*i + 16. Let c be w(-5). Suppose c*l = -3*g + 3*l + 6, 2*g = l + 19. Give h(g).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17325585?\nAnswer: 3, 5, 385013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 179263.8 minutes in days?\nAnswer: 124.48875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, 1637, -5 in decreasing order.\nAnswer: 1637, 2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -5\/6, 1\/5 in descending order.\nAnswer: 6, 1\/5, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -v**3 + 8*v**2 + 20*v + 111. What is h(8)?\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1773 and 11229.\nAnswer: 33687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + 4 + 3 + -115 + 117?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p - 5*t - 5 = 0, 0 = -3*p + p - t + 13 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1225421 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*x + 2*y - 25 = 3*x, y = -4*x - 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**3 - 25*u**2 - 17*u - 25. Is y(26) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2204081941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 9 = 3*j, 0*j - 4*j - i + 7 = 0. Let h(a) = 55*a**2 + 4*a - 3. What is the remainder when h(j) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w + 7*j + 6 + 14 = -13, -8618*j + 18 = -8624*j for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 5 + 2 + 5 - 4 - 2 + (-5 - 2 + 5)*(2 - 6 + 3) + 5 - 2 - 2 + 1 + 0 - 2 + 0 - 2 + 3)*(-1172 + 1172 + 73*m).\nAnswer: 73*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/8*((-5)\/(-40))\/(342\/152)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dfddfd. What is prob of picking 2 f and 1 d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 96 + -92. Let d be t - ((-460)\/45 - -4). Let j = 437\/36 - d. Calculate the common denominator of j and 145\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one halves of a hour in minutes?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -74001*u**2 - 4*u - 3. Let c be g(-3). What is c rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -364, -1058, -2222, -3862, -5984, -8594, -11698, -15302?\n\"Answer: -d**3 - 229*d**2 - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*f**3 + 657*f**2 + 648*f - 1308.\nAnswer: 3*(f - 1)*(f + 2)*(f + 218)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 93005106 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) -3  (b) -3\/7  (c) -1  (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*o = 22 - 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 35*b**3 - 2*b**2 + 30*b**3 + 22*b**3 - 168*b**3 - 3*b - 2 + 42*b**3. What is the remainder when 102 is divided by m(-1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 6*q**3 + 253*q**2 - 2709*q - 299. Give d(-51).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.82 - 4.82. Let j be (16\/(-14))\/(-4) - 0. Let p = 10 - 8. Put h, p, j in ascending order.\nAnswer: h, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 80\/189 + -1411\/378. Calculate the common denominator of 59\/161 and r.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 13819903 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c + 1. Let d(a) = a**2 + 4*a + 5. Let g = 2 + 2. Suppose -n - g*n = 0. Let y = 1 + n. Determine y*d(s) - 4*u(s).\nAnswer: s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) -1  (b) 1  (c) 18\/391\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 190 a factor of 2094054505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 40 + -52. Let u = n - -53. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -5\/4554 and 133\/336996.\nAnswer: 336996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2248*y + 833*y - 86*y.\nAnswer: 2995*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - p - 23 = l, 5*p - 25 = 0. Calculate the remainder when l is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 2*j + 1. Let h(w) = 25*w + 15. Let b(i) = -h(i) + 15*p(i). Let g be 8 + -7 - 1*-2. Let m(o) = 2 + 1 - g - o. Give m(b(y)).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((1 + -4)*-1)\/(0 + 1). Find the second derivative of -k*v**2 + 10*v**2 + 16*v - 3*v**2 wrt v.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10\/(-15)*(-108)\/(-90).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2935\/11 + -267. Suppose 7*b - 560 = -3*b. Suppose 4*v + 36 - b = 0. What is the nearest to 0 in v, k, 0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -372 - -372.0796. What is i rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/259, -0.1612, 0, -1?\nAnswer: -0.1612","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -790*z + 2575*z + 498*z in the form y + a*z and give a.\nAnswer: 2283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 6*l**2 - 2. Let d(q) = -2*q + 33. What is a(d(t))?\nAnswer: 24*t**2 - 792*t + 6532","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by -51666?\nAnswer: -5\/51666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 30\/9*((-39)\/(-52) + 57\/(-220)). Factor 12\/11*h**4 + 0*h + 8\/11*h**2 + 0 + v*h**3 + 2\/11*h**5.\nAnswer: 2*h**2*(h + 1)**2*(h + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 3*w**2 - 97*w - 9. Calculate a(35).\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 385*x**3 + 10 + 470*x**3 - 368*x**3 + 592*x**3 - 6 in the form c*x**3 + w*x**2 + g + k*x and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 14583 = 2*q + 3023, 3*a + 4*q - 17336 = 0. Let o be (-11)\/(-2) + 3\/(-6). Suppose -o*c + a = 1069. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.61 and 16478?\nAnswer: 16477.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 56\/6 - (-6)\/9. Let w be (-27)\/(-5) + (-4)\/l. Suppose 30 = w*o + 5*p, -3*o + 2*o - 6 = -5*p. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00757924429 rounded to 5 dps?\nAnswer: 0.00758","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -384*y + 35 = -389*y + p, -2*p = -5*y - 40 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56 = 7*j - 0. Let b be 6\/j*40\/10. Solve -8 + 20 = b*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2  (b) -3117  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h*h**(1\/4)*h*h\/h**(3\/4)*h*(h**(2\/11)\/h)\/(h*h\/(h*h\/h**(-2))) assuming h is positive.\nAnswer: h**(103\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w**2 - 24*w - 58. Let o be m(-21). Let d = 32 + -7. What is the highest common factor of o and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -100 = -2*b + b. Let x = b + -68. Let p = 54 - x. What is the lowest common multiple of p and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4 + -1. Let m = -3.3 + s. Sort 3\/4, m, -2\/9 in descending order.\nAnswer: 3\/4, -2\/9, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -1676 = -9537?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 times 1.88?\nAnswer: -1.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = m - 195, -4*m + 1055 = -5*w + 260. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 106222480 rounded to the nearest one million?\nAnswer: 106000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 170554*j*u**3 + 3*j*u + 4*u**3*x**2 + 1767*u**2*x**2 + u**2*x + 2*u**2 wrt u.\nAnswer: 1023324*j + 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*f - m + 14, 0 = f - m + 39 - 30 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-579 - 2050 + 179)*(-2*n**3 - 2*n**3 + 3*n**3) to p*n**3 + b*n**2 + k*n + s and give p.\nAnswer: 2450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4*(2 + 3\/(-2)). What is the common denominator of ((-1)\/(-24))\/((-1)\/2) and (-903)\/(-126) - d\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63*g - 238 = 203. Calculate the greatest common factor of g and 497.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 0, 210, 4 in increasing order.\nAnswer: -4, 0, 4, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sum 5189 and -0.1.\nAnswer: 5188.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -3*o**3 + 4*o**2 - 3*o + 9. Let w(g) = 2*g**3 - 3*g**2 + 2*g - 6. Let r(q) = 8*w(q) + 5*x(q). Let s be 1*2 + 4\/4. Determine r(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.13999888 + 0.14. What is p rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*d**3 - 5*d**2 - 7 + 5*d**2 + 8*d**3 - 2*d**3 in the form x + f*d**2 + a*d**3 + j*d and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(1\/4)*l*l\/(l\/((l\/(l\/((l\/(l*(l**(-2)*l)\/l))\/l)))\/l))*((l\/(l*(l\/(l\/((l\/l**(1\/3))\/l)))\/l))\/l)**(1\/4) assuming l is positive.\nAnswer: l**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 35 + -38. Let u be ((-6)\/2)\/(h - (0 - 4)). Let r be 0\/(-4) + -3 - u. Solve -3*a - 4*q + 10 + 4 = r, -4*q = -3*a - 26 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 1011 = v, -12*r + 5195 = 5*v - 15*r. Suppose -146*z + 132*z = -v. Are 76 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 168800000 rounded to the nearest one million?\nAnswer: 169000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 941865.2 meters to nanometers.\nAnswer: 941865200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 13*((-32)\/(-182) - 94\/(-329))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0002846 rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -2 - 2*y + 2*y**2 - y**2 - 3*y + 0*y. Let x be j(6). Let l(t) = t**3 + t**2 - 3. Let q be l(x). What is q rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n**2. Let w(m) = -32*m + 8. Let j(f) = -11*f + 3. Let s(r) = -8*j(r) + 3*w(r). Calculate s(a(y)).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: ((-24)\/(-28))\/(90\/294)*-5\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the second derivative of a**5\/10 + a**4\/2 - 4*a**2 + 655*a. Let v(d) = 0. What is d?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -3*v + 3*i, 2*v + 0*i - 3 = i. What are the prime factors of v\/2*(124 - -10)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001175450986 to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dcyft. What is prob of sequence fcy?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0\/(-9) - (2 - 5). Solve h*c + 2*c = -5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 261176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 88*n = 259*n + 688 + 851 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange y**2 - 29*y + 6*y + 11*y to p*y + f + a*y**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that -8\/15*y + 258\/5*y**2 + 2\/15*y**4 + 88\/5*y**3 - 344\/5 = 0.\nAnswer: -129, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 8*p**2 - 24*p - 4. What is g(4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 12013113 + -11?\nAnswer: 12013102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1075343202.\nAnswer: 2, 3, 6637921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -47608 take away 1?\nAnswer: -47609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -3*b + 0*b**2 + 6*b**2 + 1 + 8*b + b**3. Suppose 0 = 2*w + 3*n - 3 - 31, -5*n = -4*w + 90. Suppose -p = 3*p + w. What is k(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 181.0169 + -181. What is j rounded to 3 dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 76?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 165465855.\nAnswer: 3, 5, 61, 71, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 7*t - 777. Let s be d(110). Put s, -3, 1, -36 in descending order.\nAnswer: 1, -3, s, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 28 + 36 = 3*o, -o + 8 = 3*x. Let l = -7 + 11. Solve -4 = 4*h + p, -x*h - 5*p + 8 = -l for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-20)\/(-8)*(4 - 2). Suppose s = 5*b + 33, -v*b = -0*b + 25. Suppose 3*g + 86 - s = 3*f, -f + 46 = -5*g. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (85 - 1)*3456\/126. Suppose s - 1138 = -2*l, 5*s + t = 2*l + 2*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17412 at least as big as -10.564?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -100001111 (base 2) to base 3\nAnswer: -101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 3, -3\/2, -7, -60, -1.9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -31578 (base 9) in base 5?\nAnswer: -1132023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bclmllzmlllbb. What is prob of picking 1 z, 1 b, and 1 m?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8802 and 25056197?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*u - 27*u + 82310 + 228830 = 0. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 t when two letters picked without replacement from {k: 2, t: 4, z: 6, x: 2, o: 1, a: 2}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 100057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 3*c**3 - 4*c**2 - 3*c**2 + c**2 + 13*c**2 - 2. Let y(a) = 2*a**3 + 6*a**2 - 2. Let v be 3\/4 + (-31)\/4. Determine v*y(k) + 6*h(k).\nAnswer: 4*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q**2 - 44*q + 419. Let w be d(-52). Sort 2, w, 204 in ascending order.\nAnswer: 2, w, 204","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the third derivative of 1001*s**5\/10 - 463*s**4\/8 - s**2 + 681*s. What is the second derivative of d(a) wrt a?\nAnswer: 12012","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 3\/32 of a kilometer?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 266305, 532595, 798885, 1065175, 1331465?\n\"Answer: 266290*z + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 11889 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3 - 0. Suppose -5*u + 25 = -n + 3*n, n = 5. Solve a = -w + y*a + 10, -3*w = u*a - 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the second derivative of o**5\/4 - o**3\/6 - 2*o. Let u = 0 - -1. What are the prime factors of n(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7.25 times -2044?\nAnswer: 14819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -n + 15. Let q be m(18). Let t be (-448)\/96*q\/2. Solve -10*k = -t*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3*u**2 - 125009*u + 18692?\nAnswer: -6*u - 125009","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 33939 - 5581131469.\nAnswer: -5581097530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o = 9*o + 18. Sort -24, 0, o.\nAnswer: -24, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 533 - 220. Let x = m - 317. Put -2, x, -0.23, -0.3 in decreasing order.\nAnswer: -0.23, -0.3, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*k**3 + 675*k**2 - 3870*k.\nAnswer: -5*k*(k - 129)*(k - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v**3 - 25*v**2 + 14*v + 1507. Determine l(7).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l**2 + 6*l + 8. Let i be c(6). Suppose -1 - 13 = -2*w. Are i and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 254?  (a) -0.583  (b) -1  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/(4\/1))\/(22\/2530*-5).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -108 + 118. Let l be (4\/6)\/(2\/(-12)). Let k = v - l. What is the lowest common multiple of k and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1975 and 5691871?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that -1\/2*f**2 - 17\/2*f + 0 = 0.\nAnswer: -17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q, 2 h, and 1 z when four letters picked without replacement from hshhqzs.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 301*m + 902*m = 6586 - 27037 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6898115?\nAnswer: 5, 7, 197089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 440.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 647 + -17?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 20 = 7*q. Suppose 2*h - 2 = -x + 5*h, -3*x - q*h + 34 = 0. Let d(y) = 2*y**3 + 1. Let v be d(1). Solve 5*t = -5*f - 35, -f + x + 5 = -v*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 2, u: 8}. Give prob of picking 2 c and 2 u.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 40 and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7908?\nAnswer: 2, 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (-2*(2*sqrt(2736))**2*1 - ((sqrt(2736) + -1)*4 + -3)**2).\nAnswer: -65709 + 672*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3280 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Add together -5 and -2819.\nAnswer: -2824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(240) + -2*sqrt(240))\/sqrt(10))\/(sqrt(14)\/(sqrt(28)\/sqrt(4))) - 2*(-2 + -2 + sqrt(12) - 2*sqrt(12)*-1))**2.\nAnswer: -224*sqrt(3) + 652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 7327732783 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0001290288 to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:54 AM and 4:09 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*v**2 - v**2 - v**2)*(19 - 14 - 17) + (v - 2*v + 3*v)*(-v + 0*v + 3*v) in the form i + k*v + t*v**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -11310*v**3 - 261*v**2 + 261*v + 261. Let c(a) = -174*a**3 - 4*a**2 + 4*a + 4. Give 261*c(d) - 4*z(d).\nAnswer: -174*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 41212 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 1520 = 3*l, 0 = -5*q + 10*l - 8*l + 3811. Calculate the remainder when q is divided by 19.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 167\/5 - 6\/15. Let q = 43 - r. Let m = -17 + 17. Sort 1, q, m in decreasing order.\nAnswer: q, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a**3 - 64*a**2 + 143*a - 162. Let c(d) = -13*d**2 + 2*d - 1. Let m(o) = -7*c(o) + x(o). Find i such that m(i) = 0.\nAnswer: -5, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 644*o**3 + 8368*o**2 + 14116*o - 88.\nAnswer: 4*(o + 2)*(o + 11)*(161*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1623040?\nAnswer: 2, 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) be the second derivative of 2*t**6\/75 + t**5\/2 + 14*t**4\/5 + 12*t**3\/5 + t + 14. Factor i(f).\nAnswer: 2*f*(f + 6)**2*(2*f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1681343627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*u + 372 = -124. Let j be (-2920000 - 0)\/(u\/(-155)). Round j to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-7616)\/5440)\/((56\/(-7))\/(-360))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s**3 - s**2 + s - 2. Let m(r) = -r + 2. Let j be m(5). Let l be ((-1)\/3)\/(j\/18). Let o be i(l). Solve z = -o*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 10 = -2*q. Let y be (-16)\/q*(-15)\/(-6). Let d(z) = 2*z**2 - y*z**2 + 3*z**2. Let r(l) = 3*l. Give r(d(b)).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let 11*y**2 - 68*y**2 + 37*y**3 + 17*y - 16 + 15*y + 22*y + 3*y**4 - 21*y**3 = 0. What is y?\nAnswer: -8, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -246488 divided by 11204.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -0*v + 10. Let r be (24\/(-75))\/(-4)*v. Let i be (-33)\/(-63) + 2\/(-3). Which is the nearest to r?  (a) i  (b) 4  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(2\/7)\/d)**(-16)*d**(-1\/5)\/(d\/d**11))**37 assuming d is positive.\nAnswer: d**(27491\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) be the second derivative of -q**7\/14 + q**6\/5 - q**4\/2 + q**3\/2 - 3*q + 113. Let f(r) = 0. Calculate r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -y**3\/2 - 41787*y**2\/2 - 218216928*y + 1091607040 = 0. What is y?\nAnswer: -20896, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.571909609 rounded to 4 decimal places?\nAnswer: 0.5719","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -13\/2805 and 31\/33.\nAnswer: 2805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r + 5. Let a be o(0). Suppose 5*t = 3*c - 61, -a*c = -0*c - 4*t - 80. Suppose -3*h + c = -0*h. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29745583?\nAnswer: 7, 19, 139, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-192)\/(-33) - (-12)\/66. Suppose -3*b + z = -b. Is b even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.3, 4, 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2502)\/(-10703)*(2\/6)\/(26\/364).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34 - (18 - (2 + -20))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -2*f + 13*f - 89*f**3 - 10*f**2 + 8 + 90*f**3. What is the tens digit of p(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -4*w**2 - 73*w - 312. Let s be q(-11). Sort -5, -15.3, s, 2 in decreasing order.\nAnswer: s, 2, -5, -15.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52*q + 266 = 405 - 1231 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the second derivative of 19*d**5\/20 + d**4\/4 + d**3 - 14*d**2 - 134*d. What is the hundreds digit of b(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1318 and 485683?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -3*i**3 - i**2 + i + 1. Let b be y(-1). Suppose b = q - 1. Suppose -4*r = -q*u - 628, -5*r + 5*u - 2*u = -788. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*l**3\/15 - 9594*l**2\/5 + 4610836*l\/15 - 607104 = 0. What is l?\nAnswer: 2, 160, 14229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 2*l - l + l**2 + l + 2*l**3 - l. Let m be k(2). Suppose 2 = 3*n - m. Solve 33 = 5*w + 4*i, 2*i = 2*w + 2 - n for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 117455670 and 725035.\nAnswer: 117455670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 7412 and 7412?\nAnswer: 7412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*q**2 + q**2 + 2*q**2)*(-3*q**3 - q**3 - q**3 + (1 + q**2 - 1)*(1 - 1 - q) + 0 - 2*q**3 - 5 + 1).\nAnswer: 16*q**5 + 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 274019.2 centuries to months.\nAnswer: 328823040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 5*u + 8 = 0. Suppose 0 = -0*i + u*i + 3*p + 18, -3*p - 6 = 0. Is 160\/25 + i\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -45*c**3 - 38*c**2 - 3*c - 3. Let h(u) = -45*u**3 - 38*u**2 - 2*u - 2. Let q(p) = -3*h(p) + 2*l(p). What is the third derivative of q(g) wrt g?\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1151367?\nAnswer: 3, 7, 109, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**3\/7 - 6*y**2\/7.\nAnswer: 2*y**2*(y - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-2)*u*(u**(-18)*u)\/u)**(2\/5) assuming u is positive.\nAnswer: u**(-38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 3*p**2 - 5*p**3 + 94321 - 94321 - p. Let d(g) = -25*g**3 + 16*g**2 - 4*g. Determine -2*d(q) + 11*k(q).\nAnswer: -5*q**3 + q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rqjrqbqrbqqqqjb. Give prob of picking 2 j and 2 q.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -b**3 - 19*b**2 + 22*b + 44. Let w be y(-20). Solve 2*x = -2, -w*a + 2*x = -2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3.491 and 2892.\nAnswer: -10095.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -4 + -1 + 2 - 4. Let g = w + 9. Let r(a) = 4*a - 3. What is r(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6364556 by 158.\nAnswer: -40282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/18)\/(260\/8190)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1*1)\/(-52)*(-48)\/36)\/(79\/(-5688))?\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 12, -0.2, 4, -1, -0.05, -50\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 345 - 339. Solve 11*u = v*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 83164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i**2 - i - 1. Let c(n) = 2*n - 39. Let d be c(19). Let r(w) = -w**2 + 4. Calculate d*r(a) - 2*o(a).\nAnswer: -a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.2 + -0.2. Suppose -3*g - 5 = -2. Let w = 644 - 642. What is the nearest to o in g, w, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 27\/7 - (-1 + 0). Let w = v - 149\/35. Suppose 2 + 8 = -2*q. Put -1\/3, q, w in increasing order.\nAnswer: q, -1\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 108941?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 + 9 = -k. Let a be 12\/(-18)*k\/2. Solve s - a = -0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -703 - -725.93. Let h = u - 23. Let d = 9 + -9. Which is the second biggest value?  (a) d  (b) 0.2  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 3 t when four letters picked without replacement from ittitjitjttt.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -68, 7\/23, -1\/3, 10, -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 8 - -1. Let g = -3 + n. Is g\/2*(-201)\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 23503424 to the nearest 100000.\nAnswer: 23500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes before 6:43 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-64)\/36 - 4\/18. Let s be 27658\/(-12) - f\/(-4). Let x = s + 4661\/2. Find the common denominator of x and 113\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3893\/(-3206))\/(6\/(-84)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j + 6. Let q be (6 + 0\/5)\/(2\/(-3)). Determine z(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -1 + (-3 + 5 - -3). Solve 23 = 6*x - x - 2*b, b - 21 = -g*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10)\/8)\/(((-268)\/96)\/((-1)\/(-15)))?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(380))\/sqrt(10))\/((sqrt(24)*2)\/sqrt(12)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 2*p + 4 = -0, 2*x = -p + 9. Is 3 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 640629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 378.4?  (a) -1\/2  (b) 1  (c) 2\/21  (d) 1\/2  (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 4 + 0)*(294*g + 2*g**3 - 294*g + 8*g**2) + 2*g**3 - 3*g**3 + 2*g**3 to j + b*g**2 + i*g**3 + h*g and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f. Let r(v) = 124 - 18*v - 124. Calculate n(r(j)).\nAnswer: -18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -7*b + 1. Let m(c) = 34*c - 4. Let n(x) = m(x) + 5*r(x). Let w(o) = 10*o - 9. What is 18*n(g) + 2*w(g)?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -5, 1, 9\/5?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(3*20\/(-18))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*a + x + 15 = 26*a, 3*a + 14 = -4*x. Let l(p) = 13*p - 23. Let t be l(a). Solve t*s - b - 3 = 0, -3*b - 5 - 4 = 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u + f = -6*u + 7, -3*f = -9 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the second derivative of s**3\/6 - s**2\/2 - 2*s. Let n = -97119 + 97118. Determine k(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.17 + 0.03. Let y = k + 0.1. Which is smaller: -2 or y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -61 - -73. What is the remainder when 117 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -2*i**2 + 12*i - 9. Let a be d(5). Solve -a = -4*p + 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 21730*g**2 - 4981*g wrt g.\nAnswer: 43460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 206, 1359, 3458, 6503?\n\"Answer: 473*u**2 - 266*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -548, -1147, -1786, -2465, -3184?\n\"Answer: -20*h**2 - 539*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/(3\/30) + 1. Let r(i) = -i**3 - 11*i**2 - i + 23. Let v be r(-11). Let n = -1 + v. Calculate the greatest common divisor of q and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = 5*d - 2*d + 29, -3 = u - 5*d. Calculate the smallest common multiple of u and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 5\/56 and 83\/36.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the second derivative of 9*x**5\/20 + x**4\/6 + x**3\/3 - x**2\/2 + 7911*x. Calculate u(-2).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 0  (b) -4  (c) 3  (d) -2\/7  (e) -8\/71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j**(-1\/8))**(6\/5)\/(j**(-1)\/(j*j*j**(-13)*j*j)))**32 assuming j is positive.\nAnswer: j**(-1112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-7)\/d)\/(d\/((d*d**(-1))\/d)))\/(d**0)**(1\/54) assuming d is positive.\nAnswer: d**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -150\/977 or -1?\nAnswer: -150\/977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 + -3. Let s = -4.17 - -3.6. Let g = 0.07 + s. Which is the nearest to -2\/3?  (a) -0.3  (b) g  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -663071, -663259, -663579, -664037, -664639?\nAnswer: -665391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -8203570 (base 10) in base 16?\nAnswer: -7d2d32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m**3 + 57*m**2 - 64*m + 44. Let r be b(-57). Calculate the highest common factor of r and 156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*m + 1114 = -7*m + 4*j, -2*j = -3*m + 1126. Is m a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*t + 9*t**2 - 10*t**2 - 64*t.\nAnswer: -t**2 - 70*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47*l + 19*l - 56 = 0. Is l\/6 - 13\/(156\/(-47608)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 653, 653, 661, 683, 725, 793, 893, 1031?\nAnswer: 1213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -548 + 781. Let n = 113 - w. Find the common denominator of 41\/18 and 5\/15 + 286\/n.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1993683 rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -185*x + 22. Let w be o(-3). Do w and -0.5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -28843772705209989.99999932 + 28843770807286945. Let l = u - -1897923009. Let g = l - -36. What is g rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3440 or -58466\/17?\nAnswer: -3440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 198 is divided by 53.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -65 - -49 - (5 - (-1 - -4) - 0)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the second derivative of -25*r**3\/2 - 207*r**2 + 22*r + 12. Differentiate g(n) with respect to n.\nAnswer: -75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 648448875 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 65\/6, 5\/3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1)\/(((-1)\/9)\/(-1)). Sort 2, v, -3 in descending order.\nAnswer: 2, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -43*n**2 + 172*n + 3. Let t be f(4). Sort 4, -3, -14, t in decreasing order.\nAnswer: 4, t, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 221*g**2 + 15034*g + 56. Determine k(-68).\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 6*i**3 + 2*i**2 + i - 2. Let q be s(-2). Let u be ((q\/(-55))\/(1\/(-1)))\/(-1). Factor -u*o**2 - 16\/15 + 2\/15*o**3 + 8\/5*o.\nAnswer: 2*(o - 2)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the first derivative of -4 + 0*m - 1\/2*m**2. Let z(u) = -2*u**2. Give o(z(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.16 * 0.072.\nAnswer: -0.01152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1700 - 1706 = -2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 204 (base 6) in base 15?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.2 + 0.2. Let x be 156\/(-26) - (-35)\/6. What is the nearest to -0.1 in k, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -3*m**3 + 7*m**2 - 6*m + 14. Let i be z(7). Let a = 2893 + i. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2\/11  (b) 1\/8  (c) -0.6  (d) -0.2  (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is d in 3*d**4 - 6*d**3 - 315*d**2 - 1362*d - 1560 = 0?\nAnswer: -5, -4, -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4377*h + 375*h - 1896*h + 2473*h + 6181*h)*(0 + 2 - 4) to the form k + d*h and give d.\nAnswer: -23020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*f - f + 3*f)*(27 - 116 - 15) to n + p*f and give p.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6930 and 710325.\nAnswer: 1420650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-2\/33)\/((w\/(w\/w**(-21)))\/w))**4)**(-2\/41) assuming w is positive.\nAnswer: w**(-5792\/1353)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = r**3 - 8*r**2 + 6. Let k be p(8). Solve h + h = -k for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*d**3 - 2*d**3 + 17*d**3 - 2*d**3.\nAnswer: 25*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s**3 - 6*s**2 + 6*s + 1. Let h be y(5). Find the second derivative of 3*j**3 - h*j**3 - 4 + 4 - 7*j wrt j.\nAnswer: -18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6859.664 days in minutes?\nAnswer: 9877916.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2 + 1 + -4 + 86 + -5. Let z = j - 24. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -780a1 (base 12) to base 4.\nAnswer: -212311321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 4a9 + -2b?\nAnswer: 47a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2477130*p**4*s - p**3*s + p*s + 118*s + 11685 wrt p?\nAnswer: 9908520*p**3*s - 3*p**2*s + s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -5*z + 21. What is the second derivative of -16 + 3*i + 16 - z*i**4 - i**4 wrt i?\nAnswer: -48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 2*b**2 - 3. Let r be s(-3). Suppose -7*o + 10*o + 87 = 0. Let l = 89\/3 + o. Which is smaller: l or r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*3\/2*16\/8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 434914 and 0.144?\nAnswer: 62627.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 43055 divided by 5.\nAnswer: 8611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 - -2. Suppose 0 = 2*f + h*f - 8. Find the third derivative of 5*c**f - 3*c**2 + 2*c**6 + 0*c**2 wrt c.\nAnswer: 240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g - 4*g = -0*g. Are g and 6\/55 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 45418 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -0.5, 2288\/205, 0.5 in ascending order.\nAnswer: -0.5, 0.5, 5, 2288\/205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -6*sqrt(637)*3*-4.\nAnswer: 5 + 504*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -214  (b) 3  (c) 0.1  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 29260\/224 - 3\/(-8). Is w + 1 + -3 + 2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qvfp when four letters picked without replacement from fvqlfpc.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -2*i**2 - 20*i + 3. Let k be t(-10). Suppose -5*w = 5*f - 580, 0 = -2*f + k*w + 39 + 168. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.9 + 6.1. Let f = m + -8. Let s = 3 + f. Which is the closest to 0.1?  (a) s  (b) 1\/3  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -5*g - 16. Determine f(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3043?\nAnswer: 17, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-72)\/(-10)*15\/9. Suppose 0 = -6*z + 30 - s. Solve z*k + 5 - 2 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -19 + (20 + -21 - (5 + -3))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 28. Let z(m) = -11. Let b(x) = -3*g(x) - 8*z(x). Let q(v) = -v + 1. Give b(a) - 2*q(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 281 not equal to 286?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/15)\/(24\/(-72)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 7081781, 2, 5, -4 in descending order.\nAnswer: 7081781, 5, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 175 is divided by -107*((-98)\/56 - 3\/(-4)).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-6)\/2*2\/8. Suppose -3*j + 0*j = 0. Suppose j = -3*o + 5*o. Is v equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41*y = 124*y - 763 + 268. Let z(q) be the third derivative of 6*q**2 + 1\/6*q**y + 1\/60*q**5 + 1\/24*q**4 + 0 + 0*q. Give z(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -12469*x + 49888. Determine s(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 417 and 213921?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -37814076 and -5?\nAnswer: 189070380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 10*o**2 + 5*o**3 + o - 6*o**3 - 6*o - 2*o. Let b be w(9). Calculate the highest common divisor of b and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 17 - 27*c - 17 to the form x + s*c and give s.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 93 divide 1731127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - -6) + -38 + 12.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-410)\/(-492) + (-1)\/12?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 0.455 * -0.15\nAnswer: -0.06825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xjpxpjppxdppxpdpd. What is prob of picking 2 p and 1 x?\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -25*y**2 - 42*y + 21*y + 21*y + 26*y**2 + 1100 as i + r*y + k*y**2 and give i.\nAnswer: 1100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5 + 4.1. Let r = 0.8 + b. Which is smaller: 4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z\/(z**9*z))\/(z\/(z*z\/(z**(1\/5)\/z))))\/(z*z\/((z*z**0)\/z)*z*z**4))**(4\/9) assuming z is positive.\nAnswer: z**(-284\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1399 - -1398. Which is the second smallest value?  (a) 0  (b) 1\/4  (c) -39  (d) p  (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 110454?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/13 in -1, 5, -3\/2830, 4, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -1*-2847411\nAnswer: 2847411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -818068*y. Let t(m) = 536*m. Determine t(x(a)).\nAnswer: -438484448*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1328 - 2329 = -53*x. What is the greatest common factor of 368 and x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/1 + 1\/1. Let z(d) = -d + m*d + 0*d. Let g(b) = -2*b - 5. Let i(u) = -u - 1. Let c(n) = g(n) - 5*i(n). Determine z(c(s)).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -4\/9, -1\/11, -0.1 in descending order.\nAnswer: 5, -1\/11, -0.1, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 566 - 1246. Let d be (64\/(-20))\/(17\/k). What is the greatest common factor of d and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -2\/110359, -150 in ascending order.\nAnswer: -150, -2\/110359, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 14224, 13405, 12048, 10159, 7744, 4809, 1360?\nAnswer: -2597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 164 and 1290308458.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3 - -5. Suppose -4 = -w*s + s. Let l(i) = -i**3 + 2*i**2 + 2. Let q be l(2). Solve 3*c - 8 = s*r, 5*r = 3*c - q*c - 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 15 = 5*q, 2*b = 4*q + 6*b - 12. Suppose 0 = q*r - 9*r + 384. Calculate the greatest common factor of 16 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uurllll. What is prob of picking 2 u and 1 r?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q**3 + 6*q**2 + 7*q + 7. Let t be -9 + (6 - (3 + -1)). Determine i(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) -1  (b) 0.5  (c) 0.094\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a - 2. Let u(d) = 2. Let r(q) = -2*g(q) - u(q). Let v be r(-3). Let y = v + 0. Solve 0 = -2*i - y, -i - 10 = 6*m - 4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*a + 71*a + 131 = -849 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 32\/5 of a milligram in micrograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 12) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-18*f + 4*f + 78*f)*(-1034 + 515 + 715 + f).\nAnswer: 64*f**2 + 12544*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 185 minutes before 9:16 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -108 or -1176\/11?\nAnswer: -1176\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -87 divided by -5548?\nAnswer: 87\/5548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5499?\nAnswer: 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -312*v = -328*v + 34240. Is v a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 402388 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 12*n**3 - 2*n + 4. Let d(s) = -11*s**3 + s**2 + 3*s - 5. What is -2*d(j) - 3*g(j)?\nAnswer: -14*j**3 - 2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 214678536?\nAnswer: 2, 3, 8944939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 1774*h. Let j(q) = -5306*q. Let m(s) = 17*g(s) + 6*j(s). Let c(w) = 2*w. What is m(c(a))?\nAnswer: -3356*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1815 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 57\/2 of a micrometer?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -1, -2, 12, -3, -3536 in decreasing order.\nAnswer: 12, 4, -1, -2, -3, -3536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = k**3 - 5*k**2 + 2*k - 7. Let s be w(5). Suppose 0 = 2*m - 8, -s*q = -6*q + 5*m - 26. Let j(i) = 2 + 2 - 5 - 2*i. Determine j(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -3*c + 6, -5*c - 2552 = -2*u. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j**4 + 531*j**3 + 10050*j**2 - 491328*j + 3468960 = 0.\nAnswer: -146, -55, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4)\/(4\/(-223))*5. Let l(j) = -13*j - 19. Let b be l(5). Let z = b + q. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*w - 31*w = f - 5, -2*w = f - 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3 or -146?\nAnswer: -146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1127527 + 16234272 - 17544*y - 51*y**2 + 4130251 + 55*y**2 = 0. What is y?\nAnswer: 2193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 21 in -0.03, 0.4, 1\/14, 9, 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q**2 + 7*q - 1. Suppose u - 5 = m, -5*u = 6*m - 3*m - 1. Let w be 0 + u + (-11)\/1. What are the prime factors of p(w)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 224 + 125 + 387*i**3 + 55*i + 1623*i**3 - 53*i wrt i.\nAnswer: 12060*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 553 minutes before 10:07 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -73\/3 and 29\/455.\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*f - 3*f**3 - 19*f + 16*f.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 77 less than or equal to 34199\/443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -9\/23800 and 47\/840.\nAnswer: 71400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 87786.58 kilograms to micrograms.\nAnswer: 87786580000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 20 = -8*l + 4*l, 0 = -2*l. Suppose -1 = x - 3*k - 4, 39 = -c*x - 3*k. Is x\/(-15) + (-3766)\/(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-2)\/(-7))\/((-3)\/(-42)). Let z = 0.3 + -0.1. Which is the nearest to -1?  (a) -5  (b) z  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 16*y**2. Let p(s) = 50828*s. Give g(p(x)).\nAnswer: 41335769344*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -28 + 31.2. Let b = 69.2 - 62. Let v = b - u. What is the nearest to -1 in 1\/5, v, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes after 3:06 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -63.5 - -64. Let m = 1 - 1. Sort q, m, -0.1 in ascending order.\nAnswer: -0.1, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f**3\/3 + 2338*f**2\/3 - 454740*f - 912600 = 0. Calculate f.\nAnswer: -2, 1170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 33\/5 of a day?\nAnswer: 9504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) be the third derivative of f**9\/12096 - f**8\/5376 - f**7\/1008 + 7*f**4\/24 - 2*f**2. Let l(s) be the second derivative of u(s). What is b in l(b) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -296 and 1148770 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-5)\/(-15) - (-2)\/(-6). Solve 5*f + 3*m + r = -3, 1 = -m for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3149 is divided by 221.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 2*x + 3*x = 7, 15 = 5*g + 5*x. Solve -2*v - 24 = 5*p, -p = -g*v - 1 - 3 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1008507, 2017008, 3025509?\n\"Answer: 1008501*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1214*f + 23816 + 2892 = 0 for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s + 5. Let h be q(3). Solve -3*v + 4 + h = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {x: 12, d: 7}.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -12041341 + -301?\nAnswer: -12041642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d**3 + 6*d**2 + 15*d + 12. Calculate i(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - 3 + 3 + (1 + 4 - 2)*(1 - 3 + 1))*(-1 + 1 - 3)*(4*h - h - 2*h)*(0*h - 3*h + 0*h) to i*h + f + u*h**2 and give u.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w - 3*w - 4. What is the third derivative of 19*h**2 + 2*h**w - 5*h**2 + 5*h**4 + 2*h**4 wrt h?\nAnswer: 216*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from trrbururfurrrurfr. Give prob of sequence ut.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*m + 4*b - 126 = 5*m + b - 150, 0 = -4*b - 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -45911718 divided by -3649\nAnswer: 12582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 8 - 4 - 2*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -108 = -0*y - 6*y. What is the smallest common multiple of y and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -39 (base 11) to base 14.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -10826.3 and 8728.7227?\nAnswer: 19555.0227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 1\/16, 0.21, -2\/11, -0.5?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 78594218?\nAnswer: 2, 39297109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 9\/32 and 53\/2388.\nAnswer: 19104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -434100 greater than or equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 204931595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 72 a factor of 1090929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let 7*a**4\/2 - 37*a**3\/2 + 33*a**2 - 22*a + 4 = 0. What is a?\nAnswer: 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 5  (b) 14.4  (c) -0.2  (d) 1644  (e) 1.3  (f) 4  (g) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - a - 4252 = -2*a, -5*x + a + 4248 = 0. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1441835 + 10071620\/7. Suppose -12164 = -4*j + 4*x, 2*j - 3*j + 4*x + 3053 = 0. Let i = j + s. Find the common denominator of i and -4\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 153*n = -175 + 22. Let k(z) = -z**2 - 4*z**3 - z + 4*z - 5*z - 1 + 9*z**3. Determine k(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 94911810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-65164)\/(-8886)*180\/22.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 55228044 + 68.8?\nAnswer: 55228112.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -7  (b) -5  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 3*l - 11. Let h(c) = 4 + c - 5*c + 3*c. Calculate -4*b(a) - 11*h(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 212, 1564, 4058, 7694, 12472, 18392, 25454?\n\"Answer: 571*h**2 - 361*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1 - (1 + -5)) + 2 + -4. Let y(k) = -240*k**2 + 2*k - 2. Let b be y(h). Let m be b\/(-595) - 4\/34. Which is smaller: 42 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3060851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -33*s**2 + 50 - 101 - 2750*s - 95*s**2 + 51 - 7*s**3 - 2*s**4 wrt s.\nAnswer: -24*s**2 - 42*s - 256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26374*o - 26351*o - 80 + 609 = 0 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 35, 52, 65, 62, 31, -40?\n\"Answer: -2*h**3 + 10*h**2 + h + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 17551 to the power of 1\/2, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (1*(-1*(sqrt(4) + sqrt(16)))\/sqrt(2) + (1 + (0 + sqrt(2))*-3)*3)**2.\nAnswer: -72*sqrt(2) + 301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12195*s - 415461 - 96972 = -12438 for s.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10120 (base 4) to base 12.\nAnswer: -1b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 164*i**3*m - 20*i**3 - i**2*m - 150*i**2 - 2 with respect to m.\nAnswer: 164*i**3 - i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*a = -58 - 6. Let l be 5 + 1*28\/a*-2. Sort 3, l, 1, 4 in increasing order.\nAnswer: l, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -56 or 0.5?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 1422*n - 12526. Calculate b(9).\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*g - 2*n + 58 = -31*g, -8*g + 62*n - 65*n = -87 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4689276 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the third derivative of -n**2 - 1\/60*n**5 + 0 - 5\/6*n**3 + 0*n + 1\/4*n**4. Let c be h(4). Is 2 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*d - 34 - 18 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3\/(-3 + (-132)\/(-32)). Which is smaller: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (17\/(-102))\/((-4)\/(-6))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*z**3 - 5*z**3 + 4*z**3)*(-42*z**2 + 5181*z - 5181*z) - 1 - 3*z**5 + 1.\nAnswer: 39*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3940289, 0, -1 in increasing order.\nAnswer: -3940289, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -2006 (base 10) to base 11\nAnswer: -1564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 113\/1596 - 1\/28. Let g = 17\/57 + p. Is -6\/7 at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -24.2 - -24.19. Sort 1, -12, h in ascending order.\nAnswer: -12, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 111\/791956 and -5\/34252097.\nAnswer: 137008388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -25935 - -25933. Sort h, 9068, 4 in decreasing order.\nAnswer: 9068, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 46168.\nAnswer: 2, 29, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + (0 + 10 - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = 5*r - 32. Solve 3*w = w - r for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -95, -3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 128015*m + 42804*m - 32501*m + 1247*m + 37976*m + (3 + 1 - 6)*(3*m + 0*m - 2*m) as f + g*m and give g.\nAnswer: 177539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -179*o - 127*o - 1 - 376*o. Let m = 276 - 278. Is n(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3361679 is divided by 1120520?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/(-8) - (-26)\/8. Suppose 0 = 3*p - 4*p + 2. Let i(j) = 2*j + p - 5 + 4. Give i(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1*(-2)\/12)\/(-26 + (-140047)\/(-5382))\nAnswer: 39\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 13194, 26390, 39586, 52782, 65978?\n\"Answer: 13196*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -133.216 - -131. Let k = 0.73 + q. Let i = k - -1.01. Round i to 2 decimal places.\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*((sqrt(468) - (sqrt(468)*-1 + sqrt(468))) + sqrt(468)) + (sqrt(468) - (-2 + sqrt(468))*-5) + sqrt(468) + (sqrt(468)*-2 + 3 - sqrt(468)*2*-3))**2*-3.\nAnswer: -742863 + 5796*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 75720519?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1 - 0) + -1 + 4. Let j be m + (1 - 3) + 3. Solve -4*c = -j - 9, -v + 17 = 5*c for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-5 - (-6 + 3))*1. Let o = -42 + 35. Which is the closest to -1\/7?  (a) m  (b) -1\/4  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 4729*j**2 + 39*j - 113. Is z(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 1  (b) 5  (c) -3175  (d) 0  (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15 + -6 - 3 - 6) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4)\/(-18) - 3\/(81\/(-642)). Let y(z) = -g + 8 + 17. Let n(k) = 2*k - 3. Determine n(a) + 4*y(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1113 - 12424\/11. Which is greater: v or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 6317.6 and 95?\nAnswer: 600172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -574 divided by 287.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 93111 + -93107. Solve 0 - 6\/5*y + 27\/5*y**s - 27\/5*y**2 + 6\/5*y**3 = 0 for y.\nAnswer: -1, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 61, 1, -57, -113?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -6*y + 35. Let x be m(6). Let f(k) be the first derivative of k - 2*k - 162 + 157. Let r(b) = -2*b**2 - b - 3. What is x*r(t) + 4*f(t)?\nAnswer: 2*t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 62 a factor of 14549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -75*99\nAnswer: -7425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -r + 4. Let y be j(-4). Is 43\/5 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {p: 4, y: 7}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -30.2 + 0.49.\nAnswer: -29.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence krkl when four letters picked without replacement from {k: 2, r: 2, f: 1, l: 1, d: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 b when two letters picked without replacement from mmbrrqmcm?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the first derivative of -b**5 - 2*b**2 - 6. What is the second derivative of l(p) wrt p?\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u and 2 t when four letters picked without replacement from uututtt?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35483 - 11847 = 38*h. Does 58 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 632 or 633?\nAnswer: 632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10626)\/(-396) + -26 - 2*(-23)\/(-52).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = 3*h - 3, -8*p + 9*p = 0. Let w(z) = -1. Let l(m) = -m + 8. Give h*l(o) + 5*w(o).\nAnswer: -o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 2*h**3 - 7*h**2 + 14*h - 45. Give x(5).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3984?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5*(8\/76 - 546\/494).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -28090 - -28132. What is the nearest to 16 in -4\/7, 3, w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -4*f + 10*f + 2 - 3*f. Let v be j(14). Suppose v = 3*b - 2*u - 3*u, 3*b - 3*u = 42. What is the remainder when 38 is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5 or -201?\nAnswer: -201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -35 (base 10) in base 16?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7144965?\nAnswer: 3, 5, 158777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -254421 - 610?\nAnswer: -255231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: ((-1950)\/(-25) + -69)\/(39\/(-4))\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c**(1\/2)\/c)\/c)\/(c\/c**5))**19*(c*c**0)**(-49)*(c*c**(3\/4)*c)\/c*c*c\/c**4 assuming c is positive.\nAnswer: c**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = n - 0*c - c - 2, 3*n - 2*c - 2 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = 5*r + 291. Let m = r + 104. What is the remainder when 10 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -15\/136 or -1?\nAnswer: -15\/136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the second derivative of b**7\/280 - b**5\/60 - b**4\/12 + 8*b. Let o(y) be the third derivative of l(y). Find the first derivative of o(x) wrt x.\nAnswer: 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 172 + -166. Let v(i) = 2 + 12 + i - 10. Calculate v(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -36046 - -22550. Is -13496 greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 37 + -22. Solve 0*q - 5*q - g = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 185441?\nAnswer: 185441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1525 is divided by 516.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*y**3 - 100885*y**2 - 75710*y + 176575 = 0 for y.\nAnswer: -7\/4, 1, 5045","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -2c (base 14) to base 16\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v + 1. What is the units digit of u(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 14536980 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27997*a = -27718*a + 9207 for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4908429*g**3*w**2 - 2*g**3 + g**2*w + 2*g*w**3 + 3*g + 75*w - 4504 wrt w.\nAnswer: 9816858*g**3 + 12*g*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56*y = -57*y - 4*m - 15, 28 = -3*y + 5*m. Let c(w) be the third derivative of w**5\/60 + 13*w**4\/24 + 2*w**3 - w**2. What is c(y)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.005082 - -0.005. Round z to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = 2*b. Suppose -4*k = 3*q - 21, -2*q + 4*k - 8 = -2. Suppose q*f + u + 17 = 0, 5*u = -f + 10*u + 21. Put f, 5, -1, b in ascending order.\nAnswer: f, -1, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*g + 24*g = 4*d - 20, 0 = -7*d + 3*g + 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**3 - 6*z**2 + 2*z - 9. Let a be w(6). Let d(k) = k + 0 + 2 + 0*k**2 - k**2 + 2. Let f be d(a). Is f smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 16782*b - 100135. Calculate f(6).\nAnswer: 557","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 + 8)*(2*b**4 - 3*b**4 - b**4).\nAnswer: -14*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9111827 centuries in millennia?\nAnswer: 0.09111827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -30 - -35. Suppose -115 = -x*j - n - 15, 4*j - 71 = n. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 3*k - 12 - 7 = 0, 4*k + 4 = 0. Suppose 0 = g + h*g + 5750. What is g rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**3 - 7*u**2 - 17*u + 56. What is s(8)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*j + 3*j + 2*j)*(393*j**2 - 7*j**2 - 51*j**2 - 3*j**2 + 2*j**2 - j**2 + (-2 - 1 + 1)*(0*j**2 + 0*j**2 - j**2) - 2*j + 2*j + j**2).\nAnswer: -336*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.23 - 1.53. Let t(v) = 2*v**2 + 102*v - 47. Let n be t(-51). Let f = 50 + n. What is the biggest value in -2\/5, f, -0.1, u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*s + 2*f + 8, 3 = 3*s - 2*f - 1. Suppose 3*h + d - 8 = h, 24 = s*h + 4*d. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:47 AM and 8:04 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2501 - 2501.1301. Let d = -0.13 - f. Round d to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = b**2 - 9*b - 12. What is the lowest common multiple of q(11) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 82.07195 decades?\nAnswer: 820.7195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.133 + 0.033. Which is greater: o or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -223122 (base 5) in base 4?\nAnswer: -1323220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = j**3 + j**2 + 2*j + 1. Let q(d) = -4940*d**3 - 780*d**2 - 1560*d - 780. What is q(n) + 780*x(n)?\nAnswer: -4160*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3 - 1582?\nAnswer: -157a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -372+1016003.40441\nAnswer: 1015631.40441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59*s = 55*s + 5376. Is ((-3)\/6)\/((-3)\/s) a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 117 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 3*d + 4. Let v be s(-2). Let y(f) = f**2 - 1 - f**2 + 2*f - f**3. Calculate y(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/((-10)\/(-84))*33\/(16929\/114)?\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5420 * 4.\nAnswer: 21680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 1 = -4. Suppose -n + r + i = -2, -4*n + 2*r = -8. Let j(x) = -x. Let d(w) = 2*w - 1. Let v(u) = n*d(u) + j(u). Determine v(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2, -1\/6, -35, 2\/27, 104?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 21*c**2 - 188*c + 3. Calculate b(6).\nAnswer: -369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:56 AM and 9:09 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.05 + -13.15. Let v = u + 9. Let h = v - -0.2. Which is the third biggest value?  (a) -1  (b) h  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-16)\/(-6)*((-369)\/(-6))\/1. What are the prime factors of (-8 - g\/(-8))*20\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -568*k**2. Let x(f) = -216*f + 14. Let c(p) = -77*p + 5. Let w(q) = -14*c(q) + 5*x(q). What is t(w(y))?\nAnswer: -2272*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -169*t**3 + 13*t + 13. Let k = 12037 + -12050. Let v(f) = -28*f**3 + 2*f + 2. Give k*v(y) + 2*w(y).\nAnswer: 26*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8627807, 8627780, 8627753, 8627726?\nAnswer: 8627699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -2421*a - 1. Let l(r) = 8*r**2. What is l(d(h))?\nAnswer: 46889928*h**2 + 38736*h + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from lluuluulluuu?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 309 minutes before 4:27 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 9, 70, -159, -5 in decreasing order.\nAnswer: 70, 9, 0, -5, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in four sevenths of a week?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 3*w + 38. Let x be u(-7). Let c be 2*((1 - 0) + 45). Suppose -c + x = -3*m. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 115*k**3*z - 172*k**3 + k**2*z + 51*k**2 - 21472*k wrt k.\nAnswer: 690*z - 1032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2352301 plus 1768918?\nAnswer: 4121219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 4120, 4118, 4084, 4018?\n\"Answer: -16*l**2 + 46*l + 4090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (t - t + t)*(1 + 2*t - 1)*(1 - 2 + 7)*(-4 + 2 - 1) + (t - 5*t + 3*t)*(2 + 2*t - 2) + t**2 + 3*t**2 - 6*t**2 to the form b*t**2 + s*t + w and give b.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 17965\/3 less than 5988?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*i - 10*i - 2*h + 28, 5*i - 53 = 2*h. Factor 3*j**3 + i - 57*j - 21 + 34 + 20 + 12*j**2.\nAnswer: 3*(j - 2)*(j - 1)*(j + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3804254627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 28310 and 1636318?\nAnswer: 8181590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -2*j**2. Let h(n) = -24*n - 1. Determine h(p(u)).\nAnswer: 48*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 923511623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(128)\/sqrt(4)*-1)\/sqrt(8))\/(sqrt(12)\/(sqrt(600) - (sqrt(600) + sqrt(600)*-2 + sqrt(600) + sqrt(600) + sqrt(600)) - sqrt(600) - sqrt(600))).\nAnswer: 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Add 20335696 and 3.\nAnswer: 20335699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -87*y**2 - y. Let c(x) = 3*x**2 - 5*x - 5. Let q(v) = -v**2 + 2*v**2 + 233 - 2*v - 235. Let f(m) = 4*c(m) - 10*q(m). Calculate h(f(j)).\nAnswer: -348*j**4 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 7 = 5*s - 0, s = -2*g. Suppose 0 = s*a - 0 - 56. Calculate the highest common factor of 7 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3.134 - 0.134. What is the second biggest value in n, 2, 7, -2\/15?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (24220\/(-29410))\/((-4)\/(-170))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3086?\nAnswer: 2, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -2*i**2 - 57*i - 26. Let d be l(-28). Suppose -74 = d*t - 62. Let k be (21\/(-6))\/((-3)\/t). Does k = -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000003444 rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -139 + 10. What is the common denominator of ((-805)\/224 + 5)\/(0 + 3) and (l\/(-24))\/(3 + -1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the third derivative of -61*b**6\/120 + 6*b**5\/5 + b**2 - 1. What is the third derivative of w(x) wrt x?\nAnswer: -366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1886 times 212?\nAnswer: -399832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 42 + 0*a - a + 5*a**5 + 11*a**5 + 39*a**5 wrt a.\nAnswer: 1100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (0 - (-10)\/3)\/((-4)\/(-156)). What is the greatest common divisor of 52 and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 12 + 18)*(164 - 164 - 11*x)*(2 - 1 + 3).\nAnswer: -1144*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 308590215 divided by -5?\nAnswer: -61718043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 96356?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*v - 46 = 44 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4)\/14 + (-12)\/(-42). Suppose -5*a - 37 - 18 = x. Let j(v) = -v**2. Let n = 78 - 76. Let s(t) = -5*t**2 - t + 1. Determine a*j(c) + n*s(c).\nAnswer: c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3694 is divided by 77.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - (-1 - -2) - -17) + -11319 + 11264\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hfff when four letters picked without replacement from {h: 3, f: 8}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u*u**5*u*((u*u**2*u)\/u)\/u)**18)**(-38) assuming u is positive.\nAnswer: u**(-6840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 25916448 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**3 - 7*f**2 + 9*f - 13. Let b be r(6). Let h(s) = 10*s**3 + 5*s**2 - 5*s + 18. Let n be h(b). Suppose -6*g + n = 432. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 151260 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7766443717.9998978 - -7766444689. Let c = 971 - n. Round c to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -18*t**2. Let j(b) = 21*b**2. Calculate j(v(p)).\nAnswer: 6804*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1335055 = 14339*t + 694949 - 151568 - 301146 for t.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 112 and (-137 - -129)\/(1\/(-16)).\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -11*y. Let s(p) = -2*p + 5. What is s(u(i))?\nAnswer: 22*i + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 18594778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3725330784 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m**2 - 4*m. Let o(r) = 8*r**2 - 12*r + 4. Let k(w) = 3*h(w) - o(w). Let z(t) = -6*t**2 - 5. Determine 5*k(p) - 4*z(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5.056 - -0.044. Let i = -5 + h. Let o = -0.9 - i. Which is the closest to -2?  (a) o  (b) 0.2  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15454584797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*u**6 - 1748*u**4 - 3*u**2 - 2*u - 55875 wrt u.\nAnswer: 480*u**3 - 41952*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = s + 16. Let t(v) be the third derivative of v**4\/24 + 2*v**3\/3 - 2*v**2. Let n be t(s). Which is bigger: 2\/9 or n?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2798020*i*n**4*s**2 + 7*i*n**4*s + 2*i*n**2*s - 350*i*s - 6*n**2*s**2 - 8*n*s**2 - 142*n wrt n?\nAnswer: -67152480*i*n*s**2 + 168*i*n*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 136, 918, 2346, 4420?\n\"Answer: 323*d**2 - 187*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -208249, -416649, -625015, -833329, -1041573?\nAnswer: -1249729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 137, 173, 121, -67, -439?\nAnswer: -1043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 45710 (base 16) to base 9\nAnswer: 473145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4488940569.\nAnswer: 3, 109, 13727647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 124. Let r(s) = -495. Let i(v) = 4*o(v) + r(v). Let b(m) = -15*m**2 - 2. Determine -b(k) - i(k).\nAnswer: 15*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*r + 22*r + 30 = 0. Solve 3*g = 6 - r for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 180 + -178.37. Let j = -1.7 + f. What is the third smallest value in -3, 3, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2723 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1713*u = -26554 - 16271 for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 2*a**2 + 105*a. Let l(d) be the third derivative of -d**4\/12 - 99*d**2 - 1. Give l(o(v)).\nAnswer: -4*v**2 - 210*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -9\/217?  (a) -2\/19  (b) -1  (c) -51.88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence veox when four letters picked without replacement from {v: 1, l: 5, o: 6, e: 2, x: 3}.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) be the third derivative of 0*k**3 + 0*k**4 + 1\/30*k**5 - k**2 + 0 + 0*k. Let w(g) = -1 + g + 1. Give w(m(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 5*x = -0*x - 560467, -5*l - 2*x = 2802358. Let w = l - -170472. Round w to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -35*j - 1. Let b be w(1). Let s = 59 + b. Suppose 3*a - 3*t = s - 5, -4*t - 14 = a. Solve -3 = -a*c - 3*f, -2*f + 3 = -c + f for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2615 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -790, 610, 2032, 3488, 4990?\n\"Answer: 2*r**3 - r**2 + 1389*r - 2180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -52*t + 13. Let d(v) = -21*v + 5. Give 13*d(g) - 5*j(g).\nAnswer: -13*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -14 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 77 + -52. What is the remainder when q is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*j**3 - 4*j**2 - 12*j**2 + 5*j**2 + 24*j - 11*j**2 + 2*j**5 + 22*j**4 = 0 for j.\nAnswer: -12, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4 - -41b?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.25962322 rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 17.45374l to millilitres.\nAnswer: 17453.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that 3*h**5 - 18*h**4 + 15*h**3 = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -100 + 22222?\nAnswer: 22122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 65 (base 12) in base 2?\nAnswer: 1001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*u**3 - 3 + 2*u - 37039*u**2 + 3 - 32580*u**2.\nAnswer: 3*u**3 - 69619*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uuuruuruurruururuu. Give prob of sequence rur.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (0 - 0) + 7 - (306 - 293) - -5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 174087 (base 12) to base 8\nAnswer: 1417147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 12*b**5 - 130*b**2 - 21*b**5 + 47*b**5 + 101*b**5 wrt b?\nAnswer: 8340*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 9) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6, -9, -12?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 + -789687?\nAnswer: -789707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 2*v + 1. Let j(d) = -5*d**2 + 15*d + 35. Suppose 0*x - 20 = 4*x. Let z(c) = x*m(c) + j(c). Determine k, given that z(k) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*p - 262 + 54 = 0. Let n be (189\/(-39) - -5) + (-76124)\/p. Is 4\/(-22) - (4 + n\/(-11)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 60475*f*u**4 - 2*f*u**3 - f*u - 706*f - 2*u**4 - 2*u**2 + 6 wrt u?\nAnswer: 1451400*f*u - 12*f - 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -6*f. Let h(v) = 4*v**2 - 3*v. Let b(y) = 3*y**2 - 2*y. Let w(r) = 6*b(r) - 4*h(r). Determine x(w(s)).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 14171879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/10*590\/(-236)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -12*d**2\/17 + 4066*d\/17 - 3380\/17.\nAnswer: -2*(d - 338)*(6*d - 5)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -60 - -30. Which is smaller: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 v and 1 f when four letters picked without replacement from {q: 1, t: 2, c: 1, v: 3, f: 5}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 3*t + 1105 = 5*w, 4*w = -5*t + 917. List the prime factors of w.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -1, 75, -5, -9, 20 in decreasing order.\nAnswer: 75, 20, 5, -1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c**2 + 3*c - 4. Give v(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 98*x**2. Let a(d) = -43*d. Calculate p(a(n)).\nAnswer: 181202*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 213819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 32 - -4. Let h = 57 - w. Is ((-6)\/24)\/((h\/(-444))\/7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1)\/4*(-4 - 0). Suppose -2*i = -3 + c. Suppose 0 = -3*z + 3*x + x + 7, i = -3*z - 4*x. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 72 - 1 - (-2833 + 2937)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -20131.2559 and -5832810.\nAnswer: -5852941.2559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20 (base 4) to base 8.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 12 = -4, -3*p + 4*x + 31 = 0. Does 11 divide (p - (-2 + 8))*-11*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(2\/11)*b*b**0\/b)\/((b*(b**(1\/2)*b)\/b)\/b)**(22\/7) assuming b is positive.\nAnswer: b**(-107\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 7579834 a multiple of 933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1 - 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -76, -112, -172, -256, -364, -496?\nAnswer: -652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the third derivative of -d**6\/120 + d**5\/60 - d**4\/24 - 4*d**3\/3 + 2*d**2. Determine v(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1 + 2\/6)*225\/(-150). Let z(p) = -7*p**3 + 2*p - 1. Determine z(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = 3*g - c - 50, 0 = -2*g + 3*c + 30. Let u = -313 - -439. Calculate the highest common divisor of g and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j**2 - 2*j**2 + 10*j - 12*j**2 - 6 + 14*j**2 - 1. What is q(7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -152  (b) -191  (c) -0.5  (d) 1  (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*-14*(-22)\/44.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1345*h = 3054*h + 2648*h - 56641 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = v**3 - 158*v**2 - 927*v - 9355. Determine h(164).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2367 and 63646.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 155 = 5*u + 60. Suppose -55 = -p + 1. What is the remainder when p is divided by u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 5, -5\/2, 2, -2361, 1\/17 in decreasing order.\nAnswer: 5, 2, 1\/17, -5\/2, -3, -2361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 4*u**2 + 2*u. Is r(-2) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from drbbpppbbobcc. Give prob of sequence rd.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 9 = 90. Let n = -15 + d. What is the remainder when 34 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 178 + 180 = 0. Let s = -4.6 - -5. Let u = 0 + 1. Which is the nearest to u?  (a) -5  (b) s  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 54*x**3 + 8*x**2 + 8*x. Let d(r) = -18*r**3 - 3*r**2 - 3*r. Let g be 159\/(-51) - (18\/(-51))\/3. What is g*k(j) - 8*d(j)?\nAnswer: -18*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 38*h + 5. Let q be y(1). Let b = q + -41. Suppose -b*n = -2*w + 124, 9*w - 7*w + 3*n = 129. What are the prime factors of w?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 17*r + 19*r = 276, -2*s + 4*r + 264 = 0. What is the remainder when s is divided by 39?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 148 minutes before 9:53 PM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 90\/(-72)*(-2)\/(-15)*-2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 1, 848, -1 in decreasing order.\nAnswer: 848, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 280 and 217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3165*j**5 + 53787*j**4 + 306*j**3.\nAnswer: -3*j**3*(j - 17)*(1055*j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -173556648*l. Let c(r) = -8*r**2. Determine c(q(f)).\nAnswer: -240975280519967232*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -3555*n - 1109*n - 1 + 1 + 164*n in the form d*n + p and give d.\nAnswer: -4500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 4*x**2. Suppose -5*k + 32 = 12. Suppose -k*t - 4 = -0. Let b be g(t). Solve 0 = b*w + u - 19 + 1, -4*w = -4*u - 28 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 596 times -6714\nAnswer: -4001544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 79*z = 84*z - 20. Calculate the greatest common divisor of 128 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:51 AM and 6:02 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1380, 5218, 11612, 20562, 32068?\nAnswer: 46130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(153)*-2*-5*-1)\/(sqrt(324)*1*-5 - ((sqrt(324) + (sqrt(324)*2 - sqrt(324)))*-1 - sqrt(324))).\nAnswer: 10*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 3 + 9\/21?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 650 + -399. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 minutes after 11:55 PM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/3, -201, -2\/9, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 5*i = 0, -4*i + 31 = 3*a + 10. Let l = -493301\/25 - -19732. What is the closest to l in -0.3, a, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 413794037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 433*h**2 - 5*h + 13. What is the units digit of f(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ggd when three letters picked without replacement from {g: 2, d: 11}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*x = -85*x + 321024. What is the thousands digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 - 82 = -f. Suppose m - f = -36. Calculate the common denominator of (-2)\/(m\/249) + 1 and 91\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -11.4 and 50798981353.\nAnswer: 50798981341.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -164*j**3 + 17*j - 18*j + 3*j**3 - 85*j**3 to the form s*j**3 + v + k*j + f*j**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1377 and 47061?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -12247, -24780, -37325, -49888, -62475, -75092, -87745?\n\"Answer: -b**3 - 12526*b + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 182 + -77. Let p = i - 97.1. Let m = p - 0.8. What is m rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 10  (b) 1.1  (c) 1.9  (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 - 6 = -3*c. Let s be (5 - c) + (0 - 5\/(-4)). What is the nearest to -2 in 4, -2, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 935065.3 centuries?\nAnswer: 93506.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8\/2537 - 5130\/17759. Which is the nearest to -0.38?  (a) -0.18  (b) f  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the second derivative of -z**4\/12 - 10*z - 33. Let f(r) = -4*r**2 + 2. Determine f(i) - 6*q(i).\nAnswer: 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 217 in -2\/9, 3\/8, 5, -0.2, -13.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (7335 + -3)*(-491)\/(-2). Suppose -k = -3*w + 5*w - 1800004, k = -3*w + t. Round k to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -133 and -51.\nAnswer: 6783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cfuiufuffffufggfigi. What is prob of picking 1 f and 2 g?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 955.\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n and 1 k when three letters picked without replacement from kknkkkkkn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 150514557?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 1381279.5 to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 times -43?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/2, 19\/2, 145?\nAnswer: 145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 16 + -10. Let y(p) be the first derivative of p**4\/4 - 5*p**3\/3 - 5*p**2\/2 + 5*p - 7. List the prime factors of y(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -31, -1.44, -1\/9, 13, 2\/29?\nAnswer: -1.44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -72 + 74. Which is smaller: s or 72?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -26\/354321 and 41\/15.\nAnswer: 1771605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10716 + -6692. List the prime factors of w.\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -132863.7 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 69 - 48. What is the remainder when 32 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-120)\/(-65) - 2 - (-21915)\/(-273). Suppose 4*z + 313 + 11 = 0. Let k = z - l. Which is greater: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2561 - -2564. Solve -5*t = f*o + 24, 0 = -5*t - 2*o - 2*o - 27 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14225986\/5 > 2845196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 13\/56 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -13*l**2 + l - 4. Let p be w(8). Let o = -4927\/6 - p. Find the common denominator of -2 + (-3)\/(-48)*66 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2019375 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that 3*x**4\/4 + 93*x**3\/2 - 19557*x**2 + 154347*x\/2 + 387105\/4 = 0.\nAnswer: -197, -1, 5, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -2846970 rounded to the nearest 10000?\nAnswer: -2850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 408*f**2 - 464*f + 96. Let j(c) = 43*c**2 - 49*c + 10. Determine -48*j(w) + 5*t(w).\nAnswer: -24*w**2 + 32*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 3 n when four letters picked without replacement from qnnnnnnnnnqnlnnnn?\nAnswer: 13\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1946059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 27\/156832 and -97\/60320.\nAnswer: 784160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 71119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -23*v**3 - v**2 - 2*v - 96.\nAnswer: -138*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*k**4 + 5 + 12*k**2 + 13*k**2 - 28*k**2 + 0*k**3 + 2*k**3 to t*k**4 + s*k**2 + q*k + y*k**3 + o and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1873551939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the second derivative of -3*x**5\/4 + x**4\/3 - 11*x**3\/3 + 9*x**2\/2 + x + 23. Let i be c(9). Round i to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4\/25 or -5?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -7*p + 1 + 6*p + p**2 + 2*p. Suppose -4 = -3*t + 17. Let q be (t\/(-21))\/(1\/3). Let v(k) = -4*k**2 - 5*k - 4. Give q*v(c) - 5*z(c).\nAnswer: -c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -2*z - 20. Let n be c(-35). Solve -n*b = -47*b - 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o - 19. What is c(-8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -65\/88 and 13\/80?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3\/(-2)*40\/(-12). Suppose -o + t = h, o = -5*h + 13 + 12. Let q be (12\/14)\/((-28)\/(-98)). Solve -m - 22 = -h*p, -m = -4*p + q + 15 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 85753 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -25.919999259 - -25.92. What is s rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 92 - 92.502. Let w = a + -0.023. Let k = w + 0.67. What is k rounded to two dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 63*s**2 + 508 - 34*s**3 - 19*s**2 - 41*s**2 wrt s.\nAnswer: -102*s**2 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 45812 - 1646999\/36. Let k = q + -682\/9. Calculate the common denominator of k and -3\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5585670929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/2, 0.1, 89.38, 6\/7 in decreasing order.\nAnswer: 89.38, 3\/2, 6\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (418\/228)\/(22\/6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i + 1. Let o be w(1). Let b(d) = 53*d - 45. Let r be b(2). Suppose o = -2*p - t + r, -4*t - 29 - 104 = -5*p. Does 29 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 339992, 679944, 1019896, 1359848?\n\"Answer: 339952*y + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -3*j - 2. Calculate f(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11521 is divided by 1644.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 133, 270, 407?\n\"Answer: 137*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 202 - 206. Let t(j) = 0*j - 67 + j + 76. Determine t(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 299, 2, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3 and -7?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (5 + 2 + -6 - (-220 + 220)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2542 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1 + 1 - -2) + 11. Let m(f) = 4*f + 1. Let z be m(1). Let o = z - 0. Solve -o*a = -y - 7 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 50941694?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*s - 279 + 842 = -191 for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -232434, -232429, -232422, -232413?\nAnswer: -232402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - 200*f**2 + 105*f**2 + 2 + 11*f + 126*f**2 to l + q*f + t*f**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 130910*k**2*w**2 + 780*k*w**2 - 6*k*w + 5 wrt k?\nAnswer: 261820*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gssg when four letters picked without replacement from {g: 7, s: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -1d8f6f (base 16) in base 11?\nAnswer: -1103549","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, 3, 5, -4, -401 in descending order.\nAnswer: 5, 3, -4, -13, -401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -302*k**3 - 82*k**3 + 100*k**3 + (k**2 - 3 + 3)*(-2 - 2*k + 2) + k + 6*k**3 - 8*k**3 - 4*k**3 to z + j*k**3 + v*k + o*k**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yzyzzz. What is prob of sequence yzy?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 64 + -40. Let r be t\/(-16) - (-45)\/6. Suppose -u + r = u. Solve y - 4*y + u*w = 6, 0 = y - 5*w + 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3 - 1023?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 215922705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -7*p + 5. Let k(w) be the first derivative of 3\/2*w**2 - 2*w + 92. Calculate -2*b(s) - 5*k(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-6 - -5)\/((-20)\/5062). Let z = -1448\/5 + v. Let o = 3\/134 - 5031\/268. Find the common denominator of z and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.2  (b) -1\/7  (c) 0.3  (d) -336\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 37044240 and 240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 719 minutes before 1:17 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 1078*h - 1915. Let i(c) = -357*c + 638. Let a(x) = 7*i(x) + 2*u(x). Differentiate a(f) with respect to f.\nAnswer: -343","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 585 minutes after 9:31 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 11*d - 15*d = -10, 3*d - 30 = 3*x. Let b(u) = -206*u + 57. Is b(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}