diff --git "a/data/dm_maths/full_data_2/1760_11255.jsonl" "b/data/dm_maths/full_data_2/1760_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1760_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let n = -263 + -24. Let m be (7\/n)\/(2 - 5\/2). Is 1 > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*x**4*z - 4*x**2*z**3 - 3*x**2 + 6*z**3 + 159*z**2 + 2*z wrt x.\nAnswer: -52*x**3*z - 8*x*z**3 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4771184597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 4:06 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4058476 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-23808)\/(-576)*12\/(-16)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -140*g + 54. Let x(t) = 5*t + 27. Let k be x(-6). Is 11 a factor of n(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 8*m - 25. Suppose 2*q = m*u - 10, -2*u - q + 4 = -4*q. Solve -k + 0*w - 3*w = -12, 0 = -k - w + u for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -17. Let i = 201\/5 + -41. Let w = f - i. Which is the third smallest value? (a) w (b) -1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of t**8\/1680 - t**6\/100 + 2*t**5\/75 - t**4\/40 - 63*t**2. Factor b(a).\nAnswer: a*(a - 1)**3*(a + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40817?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (47\/3948*-60)\/((-6)\/(-126))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 1887 = 381. Is -1501\/6 >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -1\/6, -4, 45 in increasing order.\nAnswer: -4, -2\/5, -1\/6, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -57*m - 481. Determine s(-13).\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2066? (a) -11 (b) -1 (c) -1\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4343 + 4054 = 397*q + 2442 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1*(-2*sqrt(832) + sqrt(832) + sqrt(832) + -5)*-6)**2.\nAnswer: -4500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35*728\/65 - -3 and 9.\nAnswer: 3555","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0623*2808\nAnswer: 174.9384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3958 divide 5635402226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -94314206 - -10?\nAnswer: -94314196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1092514 or 1092515?\nAnswer: 1092514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1128376?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r - r + 3*r + (6 + 0 + 2)*(6 - 6 + 37)*(-13*r + r + 5*r).\nAnswer: -2073*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416480 is divided by 6823?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56684484 by 6.\nAnswer: 9447414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 8358233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 495, -2\/185, -0.274 in decreasing order.\nAnswer: 495, -2\/185, -0.274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 201876 and 50469.\nAnswer: 201876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*o = -143*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/3 + 4 + -1. Let v be 4 + -1 + 0 + r. Let f be (2\/(-4))\/((-3)\/18). Solve -3*p + 7*b = 2*b + 6, 0 = f*p + v*b + 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 1:46 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*q - 3322 = -133*q - 697 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.3? (a) 1 (b) -22 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 2*x + 12, 2*x - 3*x = -r - 1. Suppose -9 = r*k - 31. Let k*v**3 + 2*v - 15*v**2 - 32*v**3 + 4*v = 0. What is v?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 661691040 and 1440.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000903 rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1377*v + 2484 = -1323*v for v.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 21792 - 10910 + 176*p - 10890 as j + d*p and give d.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8951470 is divided by 19?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 7*p**2 + 2*p - 8. Let z = 100 + -109. What is the tens digit of m(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, g: 3, d: 4, w: 3, n: 6, b: 2}. What is prob of sequence nd?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -287, 1, 6, -0.03 in decreasing order.\nAnswer: 6, 1, 0.5, -0.03, -287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(39)\/(4*-1*sqrt(3)) + 4)**2 - -2*(sqrt(208) - (sqrt(208)*5*5 - sqrt(208)))).\nAnswer: -269\/8 + 372*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-11\/7)\/q*q*q**(-2\/19))\/((q**14*q)\/(q\/(q**(-12)*q*q))) assuming q is positive.\nAnswer: q**(-622\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 387773296?\nAnswer: 2, 31, 781801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r - 8. Let b be c(-6). Let z be b + -1 + 10\/2. Solve 2*n + z = -0*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2\/5 + 138*d\/5 + 1587\/5.\nAnswer: 3*(d + 23)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -3, 4, -8, -1, 14.3 in decreasing order.\nAnswer: 14.3, 4, 0.3, -1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6685, 6684, 6683, 6682, 6681?\nAnswer: 6680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -2656, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4972 + -73692\nAnswer: -78664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 722945 to the nearest integer?\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q - 2. Let x be n(3). Suppose 17*s - 100 = 12*s. Let o = x + s. What is the highest common factor of o and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q**2 + 47*q - 724. Let n be j(20). What is the greatest common divisor of n and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2178.5 and -15.3.\nAnswer: 33331.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/1026322 and 67\/271424.\nAnswer: 32842304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 2*g + 4*g, -5*r = -5*g. Solve u = r, 2*k - 4*u = -0*u + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5183990 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -19. Is 168\/44 + a\/(-11) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -206 divided by -1369443\nAnswer: 206\/1369443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0. Let a(d) be the third derivative of 0*d + 1\/108*d**4 + t*d**3 + 1\/540*d**6 + 0 - 1\/135*d**5 - 2*d**2. Factor a(z).\nAnswer: 2*z*(z - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 383, 1720, 4007, 7244?\nAnswer: 11431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87, -257, -523, -885, -1343, -1897?\nAnswer: -2547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-353)\/1*((-54)\/(-9) - 7).\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 4, 7, -3, 8, -9, 6 in decreasing order.\nAnswer: 8, 7, 6, 4, -3, -9, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 8, l: 6, i: 1}. Give prob of sequence il.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2963*w - 510*w + 1 + 271*w. Suppose 5*v + 4*h - 7 = 0, 7*h - 4 = -2*v + 5*h. Is s(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4*o + 30. Suppose -5 - 17 = -2*b + 2*w, -5*w = -o. Suppose l = 3*i + b, 2 = 2*l + 4*i + 4. 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 comes next: 1804, 3609, 5416, 7225, 9036?\nAnswer: 10849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 472\/7, -1, 3, 666, 0?\nAnswer: 472\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 81.7 in -320, 0.7, 1\/4, -1\/2?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.221, 0.1, 5\/24?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 12*l + 17*l - 30 = 33*l, 0 = 6*o + 3*l + 18 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 272?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*c*d**3*t**2 - 10434*c*d**2 + 3014123*c*d*t**2 + 339*c*d*t + d**3*t - 2*t wrt t?\nAnswer: 6*c*d**3 + 6028246*c*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express g**2 + 10*g**2 + 7*g**2 in the form u*g + y + b*g**2 and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.9 - 0.1. Let k = 2 + v. Let z be 1\/5 - (-2)\/(-60). Which is the nearest to 0.1? (a) k (b) -2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 6 + 6, 4*g - 28 = -2*h. What is the nearest to h in 3, -5, -3\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.3, -3, -27 in ascending order.\nAnswer: -27, -3, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 4*t**2 + 5*t. Let s be l(2). Suppose 8 = 2*m + s*w - 0, 2*w = -2. Solve -m*c + 2*z = 4*z, -5*c - 4*z = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 6. Let h be -4 - -9 - (6 - 0). Let d be 4 + 2 + m + h. Solve 0*q + 2*q = p - 8, 0 = d*p + 6 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -2*d - 28, -5*i = -8*i + 6. Is (d + 20)\/((-114)\/(-113) + -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**3 + 7*f**2 + 2*f + 1. Let x(r) = -r - 13. Let k be x(-10). Let b be s(k). What is the second derivative of b*y - 3*y**5 - 12 + 12 wrt y?\nAnswer: -60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/5)\/(12\/(-3300)). What is the highest common factor of g and 132?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -92, -124?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4*w**3 + 2*w**2 + 2*w - 2. Suppose -2*d = -0 - 4. Suppose -d*x + 48 = 2*x. What is the remainder when q(-2) is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**4 - 3*j**4 + 3*j**4 + (0 + 0 - 2*j**3)*(0*j - 3*j + 0*j) - 412*j**3 - 3*j + 412*j**3 - 3*j**4.\nAnswer: 5*j**4 - 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -12*q + 12. Solve 2*b = -3*p + 3 + 2, q = -3*b - 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 18\/13*w**2 - 9*w - 1 + 73\/39*w**3 + 1\/273*w**7 + 56\/39*w**4 + 22\/195*w**6 + 3\/5*w**5. Factor m(r).\nAnswer: 2*(r + 1)**4*(r + 18)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*1\/((-2)\/(-4)). Suppose -8 = -4*c - 4*m, -p*c - 2*m + 14 = -4*m. Let x be 1*c*6\/(-6). Let g(v) = v**3 + 5*v**2 + 5*v + 3. Determine g(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, k: 3, f: 2}. Give prob of sequence kf.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 21\/(-12)*6*(-12)\/9. Suppose -z + j = z. What is the second derivative of -z*k**5 - 5*k + k - k**5 + k wrt k?\nAnswer: -160*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -85*l - 9. Let y(i) = 192*i + 18. Let b(n) = -9*h(n) - 4*y(n). Give b(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-31 + 1)*(-2)\/5. Let w(l) = -l**3 + 11*l**2 + 9*l + 41. Let p be w(d). Solve p*b = -49 + 44 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3926 + -2753. Does 69 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 + 282 = -6*s. Suppose -3*n = 24 + 21. Let g = n - s. What is the least common multiple of 10 and g?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 8*i - 8*i - 1. Let p be t(-6). Suppose 0 = -c + p - 7. What is the remainder when c is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6673 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -10*s + 4. Let d(p) = 5*p - 2. Let w(f) = -2*f**3 - 40*f**2 + 42*f - 11. Let t be w(-21). What is t*d(z) - 6*i(z)?\nAnswer: 5*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -16*f - 3. Let v(o) = -559*o - 104. Determine -104*u(k) + 3*v(k).\nAnswer: -13*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1786233 is divided by 214?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2830.5 - -713\nAnswer: -2117.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 3498 + 1217. Let x be 12\/(-20) - j\/5. Let z = -129 + x. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 2*z + 5*m + 140, m - 176 = 3*z. What is the units digit of z\/(-8) + (-2)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1578*z**2 - 722*z**2 - 1071*z**2.\nAnswer: -215*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 = 29*q + 8*q - 16*w, 215*w = -4*q + 218*w - 7 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (54*(-44)\/(-4950))\/(8\/(-40))\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 3:59 PM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 28*y - 164. Let z be b(33). Which is greater: z or 1\/22?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1365899 a multiple of 381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 1\/4 (b) -9 (c) -8 (d) -4\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*t - 23 = 5*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-28) + (-52)\/(-14). Suppose -20 = -i + h. Calculate the remainder when 48 + 1\/((-2)\/2) is divided by i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -1 - (-7 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/419938 and -59\/344.\nAnswer: 1679752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o. Let v(f) = -f - 1. Let c(h) = -3*t(h) - v(h). Let z be c(-1). What is the units digit of 2 + (0\/z)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 33 = 4*w, 6*k - 20 = 2*k for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1241957 is divided by 488?\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 + 8 + 1\/2*v**4 + 12*v**2 - 16*v.\nAnswer: (v - 2)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(80) + sqrt(80))*6)\/sqrt(2))\/(sqrt(32)*-5*4).\nAnswer: -9*sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 278153684*r*t**4 - 610066488*r with respect to t.\nAnswer: 1112614736*r*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54287*u**4 - 13848*u - 6?\nAnswer: 651444*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.9 and 10.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-4))\/1*12\/84?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 105, 7.74, 2.3 in ascending order.\nAnswer: 2.3, 4, 7.74, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 892305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 9*c = -13*c + 13, 0 = 4*j - 4*c + 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11a1 + -2c?\nAnswer: -11cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011365902 rounded to seven dps?\nAnswer: 0.0000114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4458 = 3*t + 3*j, 2*j = 15*t - 14*t - 1471. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**3 + 3*g**3 - 6*g**3)*(4 + 3 - 5) + 2*g**3 + 2*g**3 + 0*g**3 + (-4*g + 4*g + g**2)*(-g - 2 + 2) + (-3*g**2 + 4*g**2 + 4*g**2)*(-22 - g + 22).\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22342132 (base 5) to base 14.\nAnswer: -52a9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -8. Suppose 0*a + 2*a = h + 43, 2*h + q = 0. Suppose 3*i + 35 = 5*g, 4*g + 3*i - 1 + 0 = 0. Solve a = -0*c + g*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 4*f + 4, -4*f + 4*t + 602 - 610 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 67800 > 279?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/167?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/95, -0.05, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -100 - 45\/4*u**4 + 34\/3*u**3 - u**2 + 0*u. Find the third derivative of q(f) wrt f.\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.667 take away -2465?\nAnswer: 2400.333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4544 + -4544.6441. Round l to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*y**4 - 15996*y**3 + 162*y**2 - 351584221*y?\nAnswer: 36*y**2 - 95976*y + 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((133\/38)\/(63\/36))\/((-1)\/2). Let z(k) = -2*k**2 - 4*k + 15. Determine z(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -7. Let l be (-13)\/g - (-2)\/4. Let y(u) be the third derivative of -u**5\/60 - u**4\/4 + u**3\/6 + 7*u**2. Give y(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*t**2 - 91*t**2 - 91*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 2420.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -4*v - 32, 3*a + 24 = -3*v - 2*a. Calculate the remainder when 3\/((v\/(-6))\/4) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -9, 157 in ascending order.\nAnswer: -9, -6, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 13*k**2 + k - 5. Let m be g(13). Let u = 11 - m. Factor 0*b**2 - 2\/3*b**u + 0*b**4 + 1\/3*b + 1\/3*b**5 + 0.\nAnswer: b*(b - 1)**2*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x - 6. Let c(q) = q**2 - 6*q - 6. Suppose 17 = 4*y - 7. Let i be c(y). What are the prime factors of d(i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -31, -63, -95, -127, -159?\n\"Answer: -32*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 36 and 24 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.069269 rounded to three decimal places?\nAnswer: -0.069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -543 + 386. Let o = s - -156.815. Is o smaller than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 53*z**2 + 365*z - 19346. What is i(53)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4031 - 36239\/9. Find the common denominator of (0 - -2)*1\/(1296\/1812) and a.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -307214584 divided by -153607292\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*n - 13*n + 11 + 37*n in the form a*n + h and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-8))\/(-1 + (3 - 1))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 5:52 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7402138*g + 7401576*g + 17422 = 0 for g.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/161 in -7, -56, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1431 - -14351\/10. Let v = -42 - -25. Calculate the common denominator of n and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z - 63. Let h(d) = 3*d - 42. Let c(i) = 7*h(i) - 5*o(i). Let j be c(-9). Let b be 1\/4 - (-1005)\/12. What is the greatest common divisor of j and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*h + 4. Which is the nearest to -2? (a) h (b) -2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15016?\nAnswer: 2, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*(g*(g**8*g)\/g*g*g)\/g)**(-3) assuming g is positive.\nAnswer: g**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (0 + (-5)\/6)*(119 - 122)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) 1 (c) 0.3 (d) -101\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 111198 and 32379.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 13*d**2 + 500*d + 2910. What is the lowest common multiple of w(-6) and 112?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*2*sqrt(170)*-2)\/((1*sqrt(2450))\/(-2*sqrt(605) - sqrt(605))).\nAnswer: -264*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of k**4\/6 + 23*k**2\/2 - 1400*k + 1. Let l(j) be the first derivative of j**2\/2 - 1. Determine p(l(y)).\nAnswer: 2*y**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3822*m**2 + 42 - 20 + m - 3157*m**2 - 22 as q*m + a + j*m**2 and give j.\nAnswer: -6979","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3016989 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 34772553 divided by 28953?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 200 and 34256?\nAnswer: 856400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6969*b + 6966*b = -y + 35, 4*y + 14 = -2*b for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = a + 57, 5*f - 4*a - a + 75 = 0. Let p be (1600\/f)\/((-4)\/(-663600)). What is p rounded to the nearest 1000000?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from fffzzfffzqz.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 0*n**2 + 2\/21*n**7 + 20*n + 0 + 0*n**3 + 0*n**6 - 7\/6*n**4 + 0*n**5. Find the third derivative of x(o) wrt o.\nAnswer: 240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 2*x**2 - 2*x - 3. Let j(u) = -u**3 - 2*u**2 + 5*u + 4. Let i be j(-3). What is the units digit of b(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 3:20 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2123623425 and 2425.\nAnswer: 2425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2216*g**3 + 8358*g**2 - 77290628*g?\nAnswer: -13296*g + 16716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 1. Let m(f) = f**3 + 11*f**2 - f. Let v(c) = m(c) + 6*n(c). Let y be v(-5). Which is smaller: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 469 is divided by 465.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46613*j = -46606*j + 14. Let u = 9.93 - 10. Which is the closest to j? (a) u (b) -1 (c) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 79 + 72 + -189 + 105.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-10)*(0 + -10). Suppose -q*s = -s. Suppose s = -0*r - r + 18. Is r a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5810 and 165700038?\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ohxnhvvhnvhvvx. What is prob of picking 1 v, 1 o, 1 x, and 1 n?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*d - 2*g + 4, d + 2*g = -4. Let u(w) = 6*w**3 + w + 1. Let a be u(-1). Let p be 3*(-2)\/a*14. What is the highest common factor of d and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 + 206152*z**2 + 412298*z + 206148.\nAnswer: 2*(z + 1)**2*(z + 103074)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -17*w + 383. Give k(43).\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 2:25 PM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 64.18118 litres?\nAnswer: 64181.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1629 divided by 14957\nAnswer: -1629\/14957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qx when two letters picked without replacement from xtqxxxxttxqt.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 6.7. What is the third biggest value in -2\/9, -3\/8, p?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 319 and 12254.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b + 5. Let v be h(-1). Suppose v*c = 3*c + 6. Suppose c*d + 24 = 2*d. Which is smaller: -3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (22\/6)\/((-6)\/(-18)). Let t = -10 + v. Suppose -2*c + 9 = t. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 21*i**3 + 9*i**2 - 23*i + 5. Let s(q) = 10*q**3 + 5*q**2 - 9*q + 3. Determine 5*s(g) - 2*u(g).\nAnswer: 8*g**3 + 7*g**2 + g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50 + -51. Let j be z + (-10)\/6*-6. Suppose -8*v - 979 = -j*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 6 - 0. Suppose 4 = w, -2*u + 38 = k*w - 92. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -23*f**2 - 9*f - 6 - 11*f + 0*f. Let g(j) = 8*j**2 + 7*j + 2. Let m = 57 - 55. Suppose m*d = 0, -19*d + 18*d = -2*a - 34. Calculate a*g(z) - 6*r(z).\nAnswer: 2*z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_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 w be (4\/(-10))\/(1\/5). Let y = 4 + w. Suppose -3*z + 137 = y*d, -4*z + 0*d = -3*d - 211. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 - -33.04. Let y be ((-21)\/(-18))\/(-7) - 3*(-304)\/288. Which is the fourth biggest value? (a) o (b) -0.5 (c) -0.1 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 420598 is divided by 3923?\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 66\/2 - (17 - 12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2845\/168 + 120\/7. Let y = a + 1\/24. Let i = -2 + 2. What is the closest to i in y, 0.3, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 362, 393, 466, 599, 810?\nAnswer: 1117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3352*l - 13421. What is n(4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-976)\/80 + 12)*0. Solve u - 5 = -5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216901301327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57362 - 14571. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5616, 159, 3, -3 in decreasing order.\nAnswer: 159, 3, -3, -5616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*t**2 - 9*t**3 + 0*t**2 - 5*t**2 + 3*t**2 wrt t?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-3))\/(6\/18). Let w = -8693\/2316 - -2\/579. Find the common denominator of 176\/(-36) - (-1 + r) and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 33*k - 20 - 5 + 33*k**2 - 25 - 13. Let c(j) = 8*j**2 + 8*j - 15. Let l(r) = -21*c(r) + 5*g(r). Determine p so that l(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -52\/29, 2\/11, 158?\nAnswer: -52\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4775275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-252))\/(23*18\/3726)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 8*t + 40. Let v be z(-4). Let k = v - -67. What are the prime factors of k?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5046 + -3600. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6079\/40 + -773\/5. What is the common denominator of c and ((-6)\/(-9))\/((-80)\/(-162))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 145 and 45.\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 12, 22238, -2 in descending order.\nAnswer: 22238, 12, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/50*-4*30\/(-9). Let y be 4\/(-10) - (-267)\/5. Suppose 0 = x*i + 13 - y. Solve 0 = -c + 3*c + i for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 + 88 + 87)*((0 - 5 + 3)*(5*d - 8 + 8) - d + 0*d - d).\nAnswer: -1728*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-29)\/(-10) - 1) + (-2)\/5. Which is the smallest value? (a) 13 (b) 5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1931 is divided by 279?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.174448 to 3 dps.\nAnswer: -0.174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 8*n + 8. Suppose -36 = -6*j + 2*j. Let k = j - -1. Is 14 a factor of f(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4839 + 21037. Is z a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/2 + 9284*z**2 + 86174085*z\/2 - 86211225.\nAnswer: (z - 2)*(z + 9285)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/7))**45*(g*g**3*g)\/g**2)\/((g**1)**38*(g**(-5\/2)*g)\/g**2) assuming g is positive.\nAnswer: g**(-621\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -38285*j - 3. Let t be u(-7). Let z be t\/4 - ((2 - 7) + 3). Round z to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*a**3*c + 24*a**3*p**2 + 2*a**3*p + 4*a*p + 94*c**3*p**2 wrt c.\nAnswer: -15*a**3 + 282*c**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j**2 + 38*j - 38*j.\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 (base 8) in base 5?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 - 48. Let u = -12.2 - s. What is the smallest value in 0.5, 0, -4\/5, u?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 1 - 2 - 4*w)*(4 - 3 + 0 + 0 + 1 + 1 + (5 + 1 - 5)*(-6 + 3 + 2) - 2322 + 8243 - 4108).\nAnswer: -3630*w - 1815","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 58209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -15\/223 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 5:06 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33012244 + 0?\nAnswer: 33012244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s = -16*s - 4*s. What is d in -d**3 + s + 2\/3*d**2 + 1\/3*d = 0?\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 367433491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16 + -2?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 1 - 3. Suppose -4 + 26 = r*u. Calculate the lowest common multiple of ((-45)\/36)\/(2\/(-8)) and u.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2423 - 1066. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 338 = -5*a + 418. Solve -4*s = -4*q + a, -3*s - 7 = -s - 3*q for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 692*a - 696*a - 11 = 3*l, -2*l + 2*a + 16 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1159\/2145 + -1\/195. Let s be (-22)\/(-20) + (-5)\/(200\/(-16)). Sort c, 10, s, -2 in decreasing order.\nAnswer: 10, s, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 5*i + 64, -z + 88 = -2*i - i. Suppose -3*v - 70 + z = 0. Solve c - v*c - 2 = -2*w, -3*w - 13 = 5*c for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-34)*x**26\/x*(x*x**(-1\/4)*x)**(-8\/7))**(-22) assuming x is positive.\nAnswer: x**220","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 676599 and 3122112.\nAnswer: 995953728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 106 - 69. Calculate the remainder when h is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 40\/(-22) - (-18)\/(-99). Let h = g + 333. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 119*g**3 - 2*g**2 - 4*g + 4. What is the tens digit of u(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 132 - 92. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5 + 1 = 0. Let t(h) = 5*h**2 + 14*h - 30. Let a be t(2). Let z(s) = 6*s - 108. Let p be z(a). Solve p*g - v*g = -8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39397872 is divided by 1459179.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -253, -242, -227, -208, -185, -158, -127?\n\"Answer: 2*c**2 + 5*c - 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6894*m - 37110 + 13761 = 321351 for m.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - -1)*(26\/6 + -5). Solve 0*h = -x - j*h + 4, 0 = -2*h for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6033 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10*(-2)\/(-4) - 1. Determine f so that -2 - 3*f**2 - 3 + 6*f - g + 6 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -58*(-1)\/(-96) - 4\/(-6). Let c(g) = g - 7. Let d be c(6). Does d = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2118 and -23.\nAnswer: 2095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/845 and 8\/559?\nAnswer: 36335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -4. Let v be -1 + q\/2 + -2. Suppose 0 = -2*c + h - 4*h + 13, 0 = -2*c + 4*h + 6. Solve -c = -2*d + v for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(1053) + 3 + sqrt(1053) + sqrt(1053) + sqrt(1053)*4*5.\nAnswer: 3 + 207*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (3 + -5) - 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47*v + 52*v + 1 - 31 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - -15. Let b = 29 - i. What is the greatest common divisor of 4 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -94066853, -94066855, -94066857?\n\"Answer: -2*f - 94066851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f. Let x(l) = 3*l**2 + 4*l. Let t(r) = 7*r**2 + 8*r. Let k(m) = -4*t(m) + 9*x(m). Let o(p) = 4*b(p) - k(p). Let z(g) = 40*g**2. Determine o(z(w)).\nAnswer: 1600*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 184767*x. Let y(m) = 30*m**2 + 2. Give h(y(d)).\nAnswer: 5543010*d**2 + 369534","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j - 2. Let v be n(2). Let l be -1 - -2 - v\/2. Solve 6*t - 4*u = l*t - 20, 4*t + 20 = 2*u for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -j**4\/4 - 10*j**3\/3 - 5*j**2 + 3*j - 2. Let t be l(-9). Let f be (-17999998)\/t + 1\/(-6). Round f to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hoccomchhelechh. Give prob of picking 1 m and 1 e.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -11*u + 85 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*s + 2*w, -w + 246 = -3*s + 256 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u, -2*t - 3*u = 3*t - 45. What is the greatest common factor of 36 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -1\/28*l**7 - 2*l + 0*l**3 + 0*l**2 + 0 - 1\/12*l**4 + 3\/40*l**5 + 1\/30*l**6. Determine f, given that u(f) = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -112 + 112 - 2*n. Let m(k) = -k + 1. Let f(c) = 15*c - 12. Let y(l) = -f(l) - 12*m(l). Give b(y(h)).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.501772 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -139774890 divided by -5\nAnswer: 27954978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5548.9 - 5549. Which is the closest to 2.22? (a) s (b) -1\/2 (c) 1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 51 = 15492*r - 15495*r + n, -93 = 4*r - 9*n for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = u + 1, 3*u - 5*a = 3 - 10 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 944*o - 2129. Let d be w(9). Which is smaller: 6364 or d?\nAnswer: 6364","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.1 (b) -1 (c) -3 (d) -2.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/3)*f)\/(f**(-1\/4)*f))\/(f\/(f*f**8*f)*f*f*f\/(f**(-1\/4)\/f)*f) assuming f is positive.\nAnswer: f**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d**24*d)\/d)*d**(-2\/5))\/((d*d\/d**10)\/(d**(-2\/3)*d)))**(-3\/7) assuming d is positive.\nAnswer: d**(226\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**2 - 8*c**2 + c**2.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(891) + (sqrt(891) + -1)**2 + 0 + (sqrt(132)*-2*1)\/sqrt(12)).\nAnswer: -66*sqrt(11) + 5352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10*1\/3)\/((-10)\/(-15))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -234 - -799. Let q = i - 259. Calculate the least common multiple of 6 and q.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1909 a factor of 957919019?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, 5, 423 in decreasing order.\nAnswer: 423, 53, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/4)\/(5\/(-40)). Suppose -3*v + 15 = -2*g, 3*v - r*g = 2*v + 15. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -52*d**3\/3 - 101*d**2\/2 + 37. Find the second derivative of p(f) wrt f.\nAnswer: -104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 616 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4772 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*m - 94 - 55 - m**2 + 162 as d*m + k*m**2 + q and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w - 9. Let c = 106 + -100. Let q(t) = -4*t - 10. Give c*b(s) - 5*q(s).\nAnswer: 2*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, b: 1, a: 1, q: 1, j: 1}. What is prob of picking 1 b and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (536\/24 + -23)\/((-1085)\/(-210))\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 169 * -12.\nAnswer: -2028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/35)*l\/((l\/(l\/l**(2\/5)*l*l))\/l))**17 assuming l is positive.\nAnswer: l**(2108\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1823952444 and 3018.\nAnswer: 3018","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10749 - 10740. Sort -9, t, -2, 1.\nAnswer: -9, -2, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 7. Suppose -n*q + 1 = -4*s, q + 0*q - 7 = -2*s. Suppose 3*w = i, -2*i + 5*i = -s*w. Solve 0 = 5*j - 5*a + 15, 0 = -i*j + j - 5*a + 15 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 - -66. Let w(k) = -k**3 - 5*k**2 - k - 2. Let t be w(-5). Factor -3 - 3 - 36*s**2 - 21*s + 15*s**t + 20*s + f*s.\nAnswer: 3*(s - 1)**2*(5*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20 + (-8)\/(56\/21). Let q(c) = -c + 17. Let a be q(r). Let p(j) be the third derivative of -j**4\/24 - 2*j**3\/3 + 3*j**2. Give p(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3650989?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c69d7 (base 14) to base 6.\nAnswer: -53155201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15.5 + 20.5. Let r be 1\/(-2) + (-6)\/(-8). Suppose -2*v - 27 = -5*z, 0 = z + 4*v - 0 - 23. What is the third biggest value in w, r, z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -319.179 + 319. Let y = -0.579 - k. Let p = -0.2 - -0.1. What is the closest to -0.03 in p, y, 0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1859, 1813, 1687, 1439, 1027, 409?\nAnswer: -457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -421349410 to the nearest one hundred thousand.\nAnswer: -421300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 60*u**3 - 23*u**2 + 110*u + 132. Let n(v) = 84*v**3 - 32*v**2 + 154*v + 187. What is 12*n(g) - 17*t(g)?\nAnswer: -12*g**3 + 7*g**2 - 22*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/3))**(1\/32)*(w**(2\/17))**(10\/17) assuming w is positive.\nAnswer: w**(1249\/13872)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13029352 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 35.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31700300.999995 + 31700104. Let x = -197 - t. What is x rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42.95 + -1.05. Let h = -88645200.000023 + 88645244. Let p = u + h. What is p rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/18)\/(4\/3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23384897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -2176?\nAnswer: -2173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 11 - 3, 0 = -5*n - 5*j - 5. Suppose 2 = 2*a + 4*d, 2*a - n*d - 11 - 19 = 0. What is the lowest common multiple of 6 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -10. Suppose 0 = 2*d - 4*s + 9*s - 44, -5*s + 20 = 0. Let h = -3.04 - -0.04. Which is the biggest value? (a) d (b) t (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133be (base 15) in base 11?\nAnswer: 42314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzhr when four letters picked without replacement from {h: 1, i: 8, z: 4, r: 7}?\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 6*f + 17. Let o(l) = 3*l + 9. What is -6*n(a) + 11*o(a)?\nAnswer: -3*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 209*g**2 - 145*g + 13082. Give m(-208).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nxnbb. What is prob of picking 1 n and 1 b?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(2\/7)*s*s**(-10)*(s*s**17\/s)\/((s*s*(((s**(-1\/28)\/s)\/s)\/s)\/s)\/s))**(-2\/15) assuming s is positive.\nAnswer: s**(-23\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 12*g**2 + 13*g. Let f be v(13). Let j = 1 - 7. Let z = j + f. What is the second biggest value in z, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 + -43. Let v(g) = 0*g - 8*g**2 - 23*g**3 + 24*g**3 - x + 10*g. Let w be (-3 + 20\/6)*21. Calculate v(w).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 3264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 62 - 28 - 17 - 17 - 3*v. Let c(b) = -10 + 10 + 5*b - 19*b. What is c(t(u))?\nAnswer: 42*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7471315 (base 8) to base 16.\nAnswer: 1e72cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 3*u - 12 = 0. Let i(d) = -3*d + 2 - 2 - 1. What is the remainder when u is divided by i(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(-13)*2036\/62098\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z*z**(-2\/15))**(-2\/49) assuming z is positive.\nAnswer: z**(-86\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 - 3*q**3 + 3*q**2)*(3*q - 3*q - 2*q + (4*q - 3*q + 4*q)*(-8 + 5 - 33) + 2*q - 3*q + 2*q).\nAnswer: 543*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.13 and 0.068269?\nAnswer: -0.00887497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (2*sqrt(1700))**2 + sqrt(1700))*2.\nAnswer: 20*sqrt(17) + 13604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 354?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-2\/19)*i**3)**(-1\/3)*((i*i**(2\/7))\/(i*i\/i**(-3\/5)*i))\/((i*(i\/(i*i\/(i\/i**0*i)))\/i*i*i*i)\/i*i**4*i) assuming i is positive.\nAnswer: i**(-23167\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a - 7. Let v be d(10). Let q be 2 - 0 - -1*v. Suppose 8*g = 3*g + q. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13397994033 and 5.\nAnswer: 13397994038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -16713, 4, 5 in ascending order.\nAnswer: -16713, -17, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2280717 and 332334.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j**2 - 41*j + 20. Calculate w(9).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 147*o**4 + 60?\nAnswer: 588*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 945583 to the nearest integer?\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 4. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 777 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 greater than 1124\/363?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 4:16 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/45*(-6 - -5). Let m = 7 - 7.3. Put m, -1, 0.1, l in decreasing order.\nAnswer: l, 0.1, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4943 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1640757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -95*n + 275. Is b(-5) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13.5172 years?\nAnswer: 162.2064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/10780*35)\/((12\/3)\/1).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 0, 3, 8, 15, 24, 35?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -2*m + 4, -15*v + 13*v + 3*m = -19 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103 (base 6) to base 7.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, m: 1, n: 3, i: 6, q: 3}. Give prob of picking 1 g and 2 n.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, z: 2, f: 5}. Give prob of picking 2 z and 2 p.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide 11245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206848?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*h - 36 = 221*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -195 + 202. Solve 2 - 9 = k*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 116 and 4552?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 507750 + 4?\nAnswer: 507754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by -163.\nAnswer: 18\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c**2 + 20*c + 11. Calculate the lowest common multiple of (0\/(-1) + -2)*-4 and w(3).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-9*(-6)\/(-93429))*-5433. Suppose -4*q + 2*u - 5*u = -g, -3*q = u - 14099997. Round q to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1103753 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - 1\/2)*(2 - 6). Solve 6 = -i*v - 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 36727 and -5.9?\nAnswer: -216689.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -2. Let v be (-6)\/15 - a\/(-10). Let x be -4 + 4 + 0 + v. Solve x = 2*m - m - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -667, 13\/4, -4, 2\/5?\nAnswer: -667","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**4 + 2087*n**3 + 20415*n**2 + 18333*n.\nAnswer: n*(n + 1)*(n + 9)*(5*n + 2037)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 23053234 (base 6) in base 16?\nAnswer: ac9f6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*f - 136 = -72*f + 44 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8572 - 8564. Suppose 4*v - 12 = -4*l - 4, 0 = -v - 1. Put h, l, 5 in decreasing order.\nAnswer: h, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/202857 and 41\/105.\nAnswer: 7099995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-6))\/(2\/(-24)). Let p be (k\/2)\/(-5 + 4). What is the tens digit of ((-21)\/p)\/((-10)\/(-20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 4, 0, 45, 1 in decreasing order.\nAnswer: 45, 4, 1, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248412 is divided by 3226.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 263 - 289. Let m(h) = 2*h**2 + 18*h - 7. Does 12 divide m(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u - 10 = 13*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o - 36279*o**3 + 54*o**2 - 36281*o**3 - 36284*o**3 + 108842*o**3 + 21 to j*o**3 + h + w*o**2 + f*o and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -282 - -268. What is the least common multiple of ((-567)\/f - (-3)\/(-6))\/2 and 108?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 12. Sort 8, 1, p.\nAnswer: 1, p, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.532 * -0.2\nAnswer: -0.1064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 31024889 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 666 >= -39.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 11:45 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-530)\/(-15)*(-6)\/(-1)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 165\/143 + 4\/(-26) - -5. Suppose 0 = -w*c + 4*c + c. Suppose c = p - u - 3, p = 6*p + 2*u - 29. Solve -4*h - h - 2*v = 20, 4 = -h + p*v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -14 + 594\/99?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 3 - 37. Does 7 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -399.1 and 0.07.\nAnswer: -27.937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02194452 rounded to 3 decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((54\/4)\/(-9))\/9.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dq when two letters picked without replacement from qqddqdqq?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -4. Suppose 8 - 28 = -i*f. Let b be 362\/4 + (-3)\/6. What is the greatest common divisor of b and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*j - 21*j + 628149. List the prime factors of j.\nAnswer: 3, 5659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*g + 9 = 65 + 44 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 120*o. Let n(l) = 15*l + 2. Give f(n(d)).\nAnswer: 1800*d + 240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of 52*h**5\/5 + 2*h**3\/3 - 88*h**2 - h + 265. Find the second derivative of n(p) wrt p.\nAnswer: 624*p**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103, 181, 251, 313, 367?\nAnswer: 413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 585039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 201458144\nAnswer: 3\/201458144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19745 is divided by 160.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from xuxuxuuxuuuuuuuuuux?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ojcu when four letters picked without replacement from {c: 2, j: 4, u: 1, k: 1, o: 1}?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -369*w**6\/10 - w**4\/6 - 1058*w**3\/3 - w**2\/2 + 4190*w. Find the second derivative of y(h) wrt h.\nAnswer: -13284*h**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 5*j + 6. Let u be a(-8). Let i(s) = -10*s - 9. Suppose 0 = -3*b - 9 + 3. Let z(r) = r + 1. What is b*i(w) + u*z(w)?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 29*s + 19. Let o(v) = 25*v + 17. Let c(j) = 6*i(j) - 7*o(j). Let n(h) = -h**3 - h**2 + 2*h - 2. Let d be n(2). Let g = d + 5. Determine c(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.9 + 4.9. Let f = -14.22 - -10.22. What is the biggest value in f, s, -1\/6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 447 - 9974?\nAnswer: -9527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161167543.\nAnswer: 31, 569, 9137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-6))\/(-4 + 78\/20)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7160 and 5091476.\nAnswer: 50914760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.5783927 rounded to 2 decimal places?\nAnswer: 65.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 16, e: 4}. What is prob of picking 3 e?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1070 + -1069. What is the nearest to 0 in -0.1, -2, s, 8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -15*l**4 + 245*l**3 - 970*l**2 + 140*l + 600 = 0.\nAnswer: -2\/3, 1, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-10))\/(15\/(-10)). Which is the nearest to 0.1? (a) 1 (b) p (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/588 and ((-16)\/(87552\/3914))\/((-14)\/(-6)*2).\nAnswer: 4704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 787 is divided by 80?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -515031, -515840, -516649, -517458, -518267, -519076?\n\"Answer: -809*q - 514222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 3*g = -6, 3*f - 172 + 167 = -g for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6535232?\nAnswer: 2, 11, 9283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 1156.\nAnswer: 16184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u + 19. Let k be r(3). Let a = 13 + -13. Suppose 3*g - k - 68 = a. Calculate the greatest common factor of g and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2 + 20*c - 12. Determine a(-12).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 8*z - 5. Let k be a(-7). Let p(b) = b + 4 - 2*b + 5*b + b**k. Let l be p(-3). Which is smaller: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -359138, -359128, -359118?\n\"Answer: 10*b - 359148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-5)\/30*-51*(-6)\/(-9).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 23 + 22 = 5*x, -5 = -x for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-678 - -688)*(-26)\/(-20).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + t**2 + 3. Let z be b(0). Let a = 6 + z. Let i be (-20)\/4*a\/(-5). Calculate the greatest common factor of i and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v**2 + 4*v - 4. Determine n(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7979*d**2 - 77*d - 3 + 6*d**4 + 3984*d**2 + 25 + 4005*d**2 wrt d?\nAnswer: 72*d**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5331 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-17)\/((-1870)\/68618) + (-1)\/(-5) is divided by 63.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -7. Suppose j - 4 = -2*j - 4*q, r = 3*j - 2*q - 34. Does 5 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 6 = -3*z - 3, 0 = -n - 5*z - 15 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1318546359\/(-65) - (-4)\/(-10). Let u = 11125329 + v. What is u rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, e: 1, z: 2, o: 1, y: 1, f: 2}. Give prob of sequence zfy.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 + 109476424*u + 218952832.\nAnswer: 4*(u + 2)*(u + 27369104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.04, -14\/5, 3, -2\/55, -1\/4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 22 - 52 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (100\/(-3) + (-4058 - -4088))\/((-1)\/33)?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -80 + -27 + 49 + 6.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201 = 111*b + 21. Let s(d) = d - 6. Let q(v) = -3*v + 13. Suppose -8 - 19 = -3*a. Let i(h) = a*s(h) + 4*q(h). Give i(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 13*h - 25. Let c be m(10). What is the third derivative of 3*a**2 - 50*a**5 + 5*a - 2*a**6 - a**4 + 50*a**c + 26*a**4 wrt a?\nAnswer: -240*a**3 + 600*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 551.36 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24885 is divided by 190.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -8*c**3 - c**2 + 3*c - 2. Let y be a(1). Let b = 34 - y. Suppose -41*q = -b*q + 7. Solve -3*j - 2 = q for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q. Let m(c) = -9*c**2 + 19*c - 67. Calculate m(b(x)).\nAnswer: -36*x**2 - 38*x - 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13251.\nAnswer: 3, 7, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k**3 + 33*k**2 - 241*k + 41. Determine j(-16).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 8*f**2 - 2*f + 6. Give y(7).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n. Let d be i(2). Suppose -5*p + 9 = -2*a + 1, 4*a + d = 3*p. Suppose 2*f + 5 = -p*t + 7*f, 0 = t - 3*f + 3. Solve -2*b = -t*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*n + 3*n - 1360 = 0. Let i = 58 + -84. Let f = i + 40. Calculate the remainder when n is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 8, 12, 3, 1, 121 in increasing order.\nAnswer: 1, 3, 4, 8, 12, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 868 and 245956046.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63 - 61. Let k(g) = -7*g**2 - 7*g + 3. Let j be k(l). Let q = 6 - j. What is the greatest common divisor of 5 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 863.\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 5 - 145827028*b + 13 + 28*b**3 + 145827028*b.\nAnswer: 28*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 51 = -11. Suppose 3*x - v = 4. What is the second derivative of 16*u**x - 11*u**4 + 8*u - 2*u + u**4 wrt u?\nAnswer: 72*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, k: 1, o: 1, e: 1, i: 1}. What is prob of picking 1 o and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 12032266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.032416 (b) -2 (c) -11 (d) 2 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*z + 725 - 3711 = 4812 + 1626 for z.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dv when two letters picked without replacement from dffdfvvdfpdsmddv?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(833)*-3 + -4 - 3*sqrt(833)*2)**2.\nAnswer: 504*sqrt(17) + 67486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 157\/6 and 26 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -56, 0.3, -3, 0.2, 72 in descending order.\nAnswer: 72, 0.3, 0.2, -3, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = m - 2*v, 3*v - 25 + 2 = -4*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**5 + 3*i**5 - 2*i**5)*(5 - 3 - 6) - 67*i**5 + 21*i**5 - 35*i**5.\nAnswer: -89*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t - 4. Let y(i) = i + 7. Suppose 180*o - 175*o - 35 = 0. Determine o*r(w) + 4*y(w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/(-45) - 21\/(-216). What is the nearest to r in 0.5, -3, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 4*y + 1. Let h be (11\/(-2))\/(y\/(-24)). Let k(p) = -p**3 - 7*p**2 + 9*p + 20. Let o be k(-8). Calculate the highest common factor of h and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15211 + 78?\nAnswer: -15122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = -32*l + 25*l. Solve 6*s + l = -1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 + 9 = -12*j + 6*j for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -5*i - 1 - 1, 0 = -3*c - 4*i - 1. Let w be 10\/(-30) + (-13)\/c. Let q be -5 + 88\/12 - w\/(-6). Solve -7*h - 8 = -q*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/24 and 131\/40611960?\nAnswer: 40611960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 315175490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 5*f. Let x(n) = -n**2 + 16*n - 10. Let c be x(15). Is t(c) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44964713 - 19034713. Round z to the nearest one million.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14323 - 14305. Let p(l) = -4*l + 4. What is p(n)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**3*u)**(-2\/73) assuming u is positive.\nAnswer: u**(-8\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 + 2 + 0 - 3)*(4 - 4 + 12).\nAnswer: -12*j**3 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (48\/3264)\/(((-4)\/4)\/4)\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -15. Suppose -3*u = 3*i - 54, -i = -u + 3*u - 40. Calculate the remainder when u is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 936*j**5 + 2*j - 1781.\nAnswer: 18720*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.1 and -1.03.\nAnswer: -3.193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {f: 1, g: 3, z: 3, w: 6, a: 3}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145 (base 10) to base 11.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12040144223 (base 5) in base 15?\nAnswer: 1365543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.01 and -49952530?\nAnswer: 49952530.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -342544 - 1?\nAnswer: -342545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 9*i**2 + 15*i - 15. Let c be y(-6). Solve -42*m - c = -41*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/70 and 2851\/931 - (-193 - -196).\nAnswer: 9310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*d**2 - 22*d**2 + d**2 + (-3 + 1 + 1)*(2*d - 2*d + 2*d**2) - 3*d**2 + 84 - 84.\nAnswer: -35*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -100000201?\nAnswer: -100000211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 89*g - 134 + 134 + 30*g in the form j + m*g and give m.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 7400004 = 5*b, -b = -6*b - 3*i - 7400003. Round b to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2687, 2708, 2741, 2786?\n\"Answer: 6*j**2 + 3*j + 2678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**2 + 8*v**2 + 6*v**2 + (-2*v**2 + 0*v**2 + 0*v**2)*(-17 - 177 + 5).\nAnswer: 389*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 175*g**3*k**2 - 4*g**3 + 4*g**2*k**3 - 2*g*k**2 + g*k - k**2 - k + 3 wrt k?\nAnswer: 350*g**3 + 24*g**2*k - 4*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.2 and -18.5.\nAnswer: 59.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 973 and 14317?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(31\/((-899)\/(-3))).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000349582 rounded to 7 decimal places?\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*m + 1169 - 4402 - 1447 = 0 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, l: 3}. What is prob of sequence wl?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 40*d**2 + 4. Let b(f) = -f**2 - 1. Determine 3*b(s) + t(s).\nAnswer: 37*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15*8\/(-36))\/((-2810)\/21918).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66667787, 66667788, 66667789, 66667790?\nAnswer: 66667791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*x = 2*j - 29*x - 16 + 4, -j = -71*x - 284 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-8)*l*l\/l**(2\/5))\/((l*l*l**(-1))\/l)**(2\/5) assuming l is positive.\nAnswer: l**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4*n = -g + 379, 5*n - 1970 = -5*g. List the prime factors of g.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w - 2066 = 1091. Let n = 17 - 113. Let a = n - w. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 15232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 105541216 and 7100?\nAnswer: 2638530400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.486 and 1?\nAnswer: 6.486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 e, and 1 r when three letters picked without replacement from reelgse?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.01 or 87920?\nAnswer: 87920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a hour in seconds?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 90, 338, 586, 834, 1082, 1330?\n\"Answer: 248*c - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 816943208?\nAnswer: 2, 8539, 11959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-61)\/3)\/(2\/(-3)) and ((-8621)\/1221 + 2\/33)*22\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 329\/11 + (11086\/(-506) - -22)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/54796 and 103\/29564.\nAnswer: 21315644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 108.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 6*a + 4. Let u be 7910\/(-245) + (-4)\/(-14). Let b be 54\/24*u\/(-12). Determine g(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96495 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1434730 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w. Let k(j) = 546*j + 15. Let m(v) = 5*b(v) + k(v). Let s be m(-3). Let z = 2495 + s. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 813726 * 11.\nAnswer: 8950986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*(3 + 4*sqrt(343))*-2)**2.\nAnswer: 96768*sqrt(7) + 3166272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*f**2 - f**2 - 11*f**2.\nAnswer: -35*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**2 + 2*g. Let k(y) = y**2. Let i = 11 - 5. Suppose 0 = -2*x + i*x + 4. Calculate x*w(b) - 4*k(b).\nAnswer: -2*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18803 is divided by 56.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44636 or 44667?\nAnswer: 44636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12235 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 12*j + 3. Let g be u(-12). Let k(p) be the third derivative of 0*p + p**2 + 0*p**g + 0 - 1\/8*p**4. Let s(y) = y**2. Calculate k(s(a)).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 6 = 32. Let w be g + (-1)\/((-1)\/2). Let d = 15 - w. Which is the nearest to 0? (a) -3 (b) 3\/7 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69845 >= -0.4857?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + j - 1. Let d(s) = -4*s**2 + 6*s - 3. What is -3*a(w) + d(w)?\nAnswer: -w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tjoo when four letters picked without replacement from nonuotojtggonu?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -10*n**3 + 46*n**2 - 3*n + 14. Is v(-21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 10729125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5695 and 2680.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/((r**(2\/35)*r)\/r)*r))\/(r\/(r\/r**12)*r))\/(r**(-1))**(3\/10) assuming r is positive.\nAnswer: r**(-191\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20641196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 292 by -4.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - a - 21. Let q be (-2)\/11 - (-2)\/11. Let u be w(q). Let z = 35 + u. 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: Calculate 26881875 divided by -23895.\nAnswer: -1125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.9097876 to 1 decimal place.\nAnswer: 31.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 30 = 3*z, -3*z - z + 29 = -3*u. What is the third derivative of -2*b**5 - 2 + b**z - 529*b**2 + 479*b**2 wrt b?\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n**2 - 10*n - 5. What is y(-5)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1255056 to the power of 1\/2, to the nearest integer?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.575 - 7.395. Let h = i - -8. Let r be 0 + -5 + (9408\/132)\/14. Which is the second smallest value? (a) -2\/11 (b) h (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - u + 2)*(-1307*u - 32 + u**2 + 1307*u).\nAnswer: -u**3 + 32*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mk when two letters picked without replacement from {k: 3, m: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31\/108 - 1\/27. Let h(p) = -p**2 + 6*p - 6. Let o be h(4). Let l be (-7)\/(-4) + (1 - o). Which is the closest to f? (a) -1\/2 (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*k + 16*k - 1740 = 0. Solve 8*d = 31 - k for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31.59 - -32. Let l = 25.41 - m. Let p = -24.7 + l. Which is the closest to -2? (a) p (b) 0.4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**3 + 4*y**3 - 2*y**3)*(-4 + 3 - 1) + 6 + 4*y**3 - 6.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 5*q - 5. Let f be v(7). Let w be 6\/(-4)*6\/1. Let d = f + w. Calculate the greatest common divisor of 21 and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 813*s**2 + 17*s + 21. Let m be q(-1). What is the highest common divisor of 323 and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 1.4 (c) -5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15439250 rounded to the nearest 10000?\nAnswer: 15440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2, m + 0*m + 2*s = 66. Suppose -m*p + 54*p = -24. Suppose -4*a + 4*b = -52, -4*b = -b - 9. Solve -3*d = t + 11, p*d + 4*t - a = 6*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 25*i**2 + 72*i - 37*i + 47 - 8*i. What is the units digit of r(25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388553 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 - -31.85. Round h to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -4\/119 (b) -0.3 (c) -2 (d) 24 (e) 0 (f) -1.6 (g) 75\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4092962, 4092955, 4092946, 4092935?\nAnswer: 4092922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -22*j**2 + 5*j + 5. Let f(h) = -21*h**2 + 6*h + 4. Determine 3*c(l) - 4*f(l).\nAnswer: 18*l**2 - 9*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 50*i**2 - 1195*i - 133*i**2 + 4860 + 31*i**2 + 47*i**2 = 0. What is i?\nAnswer: -243, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 r, 1 a, and 1 s when four letters picked without replacement from {a: 2, s: 1, r: 1, v: 1, w: 14}.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/369 and -91\/4152.\nAnswer: 510696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-48)*26448\/(-152).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + -1. Suppose -4 = -4*k, -2*s - 2*k + 4 = -0*s. Let m = -0.07 + -3.93. Which is the third biggest value? (a) s (b) z (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3*p = -6*p - 12, 2*o + p - 8 = 0. Let f = 7 - o. Suppose 24*y + 0*y**3 - 20*y**2 - 32*y**2 + 9*y**f + 19*y**2 + 12 = 0. Calculate y.\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3933.\nAnswer: 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -626\/255? (a) 9 (b) 3\/2 (c) 5\/3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/3 - (4 + (-56913)\/(-390)). Let j = r + 1862\/13. Find the common denominator of 28\/33 and j.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.08 - 2.08. Let y = d + 2.4. Sort y, 2, 1\/5 in ascending order.\nAnswer: 1\/5, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of v**4\/4 - 4*v**3\/3 + v**2 - 6*v - 4. Let d be q(4). What is the second derivative of -9 + 3*k**d + 9 - 2*k + k wrt k?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267 is divided by 151?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30341\/60674 - 2\/30337. Let y(q) be the first derivative of 14 + 0*q + d*q**2. Let i(g) = -3*g**2. Calculate i(y(h)).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54688?\nAnswer: 2, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**5 + 6400*w**3.\nAnswer: -4*w**3*(w - 40)*(w + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-88430*i**2 + 2 + 45160*i**2 + 37041*i**2)*(0*i - 2*i**2 + 0*i) + 5 - 2*i**4 - 5.\nAnswer: 12456*i**4 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - u. Let f(r) = -3*r**2 - 5*r + 1. Give -f(g) + 6*p(g).\nAnswer: -3*g**2 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -9 - -10) + 6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -2 - (12 + -7 + -6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11967 to three decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -563.79 - 92964307.\nAnswer: -92964870.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-6) - (-4)\/6. Suppose 2*j + m - 4 = 0, -2*m - r = 2. Solve 2*a - 7 = j for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011021222 (base 3) in base 10?\nAnswer: -62180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/3)\/w)**(-1\/33))**5 assuming w is positive.\nAnswer: w**(10\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 114921*g**4\/5 + 6229464*g**3\/5 + 85060054*g**2\/5 + 3473064*g + 178605 = 0. What is g?\nAnswer: -27, -35\/339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 468037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 39\/(-65)*((-2132)\/78)\/(6\/15)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5666308 to the power of 1\/3, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 5\/2 (b) -630 (c) -2\/9 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 0*a - 3*v + 18, 0 = 4*v - 8. Let k(m) = 2*m - 1. Suppose 0 = 6*y - 2*y - 12. Let u(f) = 1 - 7*f - y + 2 + 4. Determine a*u(d) - 22*k(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n + 8. Calculate the smallest common multiple of 10 and f(0).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 1298.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 + 153 = z, -5*z + 8 = 2*w. Let a(b) = 316*b**3 + 11*b**2 - 11*b + 11. Let u(j) = 63*j**3 + 2*j**2 - 2*j + 2. Give w*u(n) + 2*a(n).\nAnswer: -61*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 2*c - 1, -2 = 2*t + 2*c - 4*c. Suppose -t*g = -0*g - 81. Calculate the greatest common factor of 216 and g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.053 and 0.9?\nAnswer: 2.953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a milligram in micrograms?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 + 25)*12\/20. Calculate the greatest common factor of 72 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 714 is divided by (39\/(-60))\/(2\/(-8))*5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 10:16 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/19565 and -23\/5180.\nAnswer: 2895620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 62463242 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -95 divided by -19748\nAnswer: 95\/19748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 197 - -1b4?\nAnswer: 37b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/2*-1)\/((-39)\/(-4))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 2*t - t - t**2)*(-65*t - 141*t - 88*t).\nAnswer: 294*t**3 - 588*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -5, -0.5, -4, 5 in descending order.\nAnswer: 46, 5, -0.5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 15 = 4*i + 2*t, 3*t = 9. Suppose 3*v - i = 0, r - 5*v + 2 = -1. What is the second derivative of 5*s + 7*s + 16*s**r - 4*s**2 wrt s?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149 = 24*i + 276 + 31 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -5 + 1349534*l - 1349534*l + 5 - 4*l**2. Let n(d) = -32*d + 5. Let m(o) = 351*o - 54. Let u(h) = -5*m(h) - 54*n(h). Give p(u(t)).\nAnswer: -2916*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 7 + 1 = 0. Suppose -5*o = -u*o - 10. Suppose -x - a = -27, 0*x + 113 = 3*x - o*a. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -3\/716, 99.\nAnswer: -3\/716, 0.4, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9555 divided by 1911?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11674 + -3199. Suppose -8*f = 411 - m. Suppose 5*g - 1688 = -o - 420, 4*g + 4*o - f = 0. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6 and 56.58.\nAnswer: 33.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.8445 to one decimal place.\nAnswer: 6.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5358789 a multiple of 549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - -16. Let m be (32\/o)\/((-2)\/15). Let a be 8\/3 + (-2)\/m. Solve 2*i - a*i + 5 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 8 = -2*y. Let c = -44 + 14. Let d be c\/y + (-24)\/(-32). Let x(j) = 2*j. Give x(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.99 + -0.01. Let w = -2 + -8. Let o = k - w. Is o greater than or equal to 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v + 5*v + 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 165, 432, 1169, 2616, 5013, 8600?\nAnswer: 13617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*z + 174*z - 15480 = 31*z. Solve 38*t = z*t - 136 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*j - 4*j**2 + 9*j)*(0 + 1 + 0)*(-4 + 3 - 1).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/6 + (-7)\/(-6) - 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4 = -0*t. Suppose 0 = -c + 3*w, 5*w = -4*c + 3*w. Let q(r) = c + 2 - 1. Let u(v) = -v**2 - 5. Calculate t*u(x) - 10*q(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/40 and -85\/16624704.\nAnswer: 83123520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 7*h + 8. Let i be y(6). Let z = 3 + -1. Solve -i*c - z*c - 8 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -645.1 + 645. Put u, 0.4, 1 in decreasing order.\nAnswer: 1, 0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1566 is divided by (-50 + 60)*2\/100 - (-118)\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, x: 4, a: 2, q: 1, h: 10}. Give prob of sequence qqqh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 4 - k + 449*k**3 + 3.\nAnswer: 449*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5801 + -5815. Put 1\/3, k, 4, -7, -4 in descending order.\nAnswer: 4, 1\/3, -4, -7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 8. Let i be (-17)\/(-6) + (-5)\/(-30). Suppose -h - 5*m - i = 2*h, m + 9 = -2*h. Which is the closest to l? (a) -5 (b) h (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 58399?\nAnswer: 583990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-30)\/(-12) + -2)\/(4\/5072). Are 634 and z nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18\/7*l**5 + 92\/7*l**3 - 60\/7*l**2 - 2\/7 - 66\/7*l**4 + 18\/7*l.\nAnswer: 2*(l - 1)**3*(3*l - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 5*h**6\/2 + 36*h**5\/5 + 27*h**4\/4 + 2*h**3 - 14. What is f in c(f) = 0?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.825937358 to four dps.\nAnswer: 1.8259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 25 + -6 - 3) + -7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 + 55 - (-5 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1053454 (base 6) in base 12?\nAnswer: -2728a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -3\/1465?\nAnswer: -3\/1465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eit when three letters picked without replacement from {w: 2, t: 2, m: 4, e: 8, j: 3, i: 1}?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 255849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l - 2 - 3*l - 6*l**2 + l**3 - 1. Let c = 2171 + -2168. Calculate the lowest common multiple of r(7) and c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*i**2 - 192*i + 13*i**2 + 11*i**2 - 46*i**2 + 14*i**2 to the form a + l*i**2 + f*i and give f.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 2*r - r**2)*(-71*r + 12*r + 4*r) - r**3 + 2*r**2 + 0*r**2 + 0*r**2.\nAnswer: 54*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c + 5*c - 11*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -1, -20, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1501 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 6*r + 159. Suppose -9*v - 112 = 122. What is the remainder when 10 is divided by g(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q - 4. Let c be p(-6). Let o(g) be the third derivative of -g**4\/3 + 17*g**3\/6 - 61*g**2 - 1. Let s be o(c). Solve s = -z - 0*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 54*o + 1. Let j be r(1). Suppose -9*i = -7*i. Suppose i = 4*b + 7 - j. What is the remainder when 45 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.25 and 1.5?\nAnswer: 0.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1512\/(-84))\/((224\/14)\/48)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 270, 1027, 2148, 3627, 5458, 7635, 10152, 13003?\n\"Answer: -c**3 + 188*c**2 + 200*c - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 8486140 divided by 5\nAnswer: 1697228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.4463688 + 5.47635. Let o = h - 1.03. What is o rounded to 6 dps?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3213326 or -16?\nAnswer: -0.3213326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14.82 - 14.89. What is the closest to v in 5\/2, 4\/7, 1\/2, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86876?\nAnswer: 2, 37, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 7. Let s be 2\/f + 155\/(-329). Let n = s + 2\/47. Which is the third biggest value? (a) -3 (b) 0.5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 155, 3\/2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 237768*j**3*s + 135*j**3 + 2*j**2*s - 3*j**2 + 157*j + 953 wrt j.\nAnswer: 1426608*s + 810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/3 (b) -0.147 (c) 0 (d) -2\/3 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5*(48\/(-20))\/4. Suppose 2*n - u*m + 2*m = 286, 3*n + 3*m = 429. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/6 - (0 + 363\/18) and (-62)\/(-40) - 6\/(-15).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8038, 16032, 24016, 31990, 39954, 47908, 55852?\n\"Answer: -5*f**2 + 8009*f + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + -1 - (1 - (-32)\/(-5)). What is the closest to 0.1 in t, 9\/7, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (303*h**2 + 4*h - 304*h**2 - 5*h + 35*h**3)*(1 - 4 + 1) in the form t*h**2 + r*h + z + f*h**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaalaaalaaaaalaala. Give prob of picking 3 a.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 11*z**2 + 3*z. Let w(k) = 56*k**2 + 16*k. Let v(r) = 16*m(r) - 3*w(r). Let l(y) = -4*y**2. Calculate v(l(x)).\nAnswer: 128*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*x + 116, x - 2*m - 42 = -0*m. Let d = x + -35. Let k be d\/2*4 + 13. Sort 0.2, k, 2, -3 in ascending order.\nAnswer: -3, 0.2, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/11 - 6\/33. Suppose m + 0*m - 19 = a. What are the prime factors of m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2c - -14?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of 0 - 5\/24*a**4 - 1\/6*a**3 - 1\/12*a**5 + 0*a - 2*a**2. Let h be s(-5). Round h to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 - -19. Let y = -13 - z. What is the closest to y in 5, 4\/7, -4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, b: 7}. What is prob of picking 4 s?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(-13 + 47*o**2 + 13) - 2*o**2 + 3*o - 3*o + (4 + 0 - 2)*(0*o**2 + o**2 + 2*o**2).\nAnswer: 51*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 25 = -f, -5*r - 2*f + 25 = 2*f. Suppose r*t + 44 = -1. Let u be ((-1)\/1)\/3*t. Solve j = -u*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.04, -0.5, -52, 519?\nAnswer: 519","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1606, -3180, -4684, -6082, -7338, -8416, -9280, -9894?\nAnswer: -10222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.729 + 0.89. Let o = 0.039 + m. What is the third smallest value in -1, o, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 15*u**3 + 10*u**2 - 72*u + 676. Does 22 divide g(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 2 = d. Let h be (-4 + 1)*(-25)\/(-15). Let n = d + h. Let o(a) = -2*a. Calculate o(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 596 = 2*j - 2*k, -5*j + 3*j + 4*k + 606 = 0. Suppose -7*f - j = -132. Sort -2, f, -7.\nAnswer: f, -7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 161573996, 323147993, 484721990?\nAnswer: 646295987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -498.7 + 499. Which is the closest to 0.3? (a) -0.4 (b) -4 (c) -0.5 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1308570, -2617134, -3925698?\n\"Answer: -1308564*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 7:11 AM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -329, -36, -5 in increasing order.\nAnswer: -329, -36, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 11 (c) -5 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 121395 and 210.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (28 - 22 - -96)*(-439)\/(-3)?\nAnswer: 2, 17, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**3 - 10 + 0*s + 4*s**4 - s**3 + 1 + 3*s + 38 in the form k*s**4 + q*s**2 + g*s + b + f*s**3 and give b.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (122*m + 1009711 - 1009711)*(4 + 6*m - 4) to h + b*m**2 + q*m and give b.\nAnswer: 732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 12:58 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5003?\nAnswer: 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1084, -5683, -13330, -24019, -37744, -54499?\nAnswer: -74278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1269.747316 to the nearest 10.\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.03 - 0.03. Suppose 4*g - 3*k = -20, -2*k = 4*g + g + 2. What is the closest to f in -1, g, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26 and 72.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7829641.\nAnswer: 563, 13907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w. Let i = 37 + -16. Let h = i - 18. Let n(g) = 0*g - h*g + 7*g - g. What is n(q(m))?\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 171871911 a multiple of 816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -1, -5, -79 in ascending order.\nAnswer: -79, -5, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2975\/16 + 186. Let q = 1.7 + -3.58. Let h = 1.78 + q. What is the second smallest value in h, r, -1\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6315*s + 10188. Determine p(-2).\nAnswer: -2442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 5*c**2 - 5*c + 8. Let h = -7 - 48. Let n = 59 + h. Let d be z(n). Solve 2*w + 4*v - 20 = 0, 3*w + 15 = d*w + 3*v for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c - 2. Let s be g(2). Suppose 5*b - 4*p + 50 = 0, -b + 14 = -s*b + 4*p. Let n = -2 - b. Are n and 4 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -51550104 - 0?\nAnswer: -51550104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 1 = 5*i - s, -i - 4 = -5*s. Solve -4*a + 13 - i = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4042127.\nAnswer: 211, 19157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47 - 3*o - 42 + 0*o**2 - o**2)*(0 + 2 - 1).\nAnswer: -o**2 - 3*o + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 592 a factor of 11551104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-64)\/36 + 2\/(-9). Let r = -3 - c. List the prime factors of 3\/(r - -2) + 19.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n - 30 = -5*n - 5*z, -3*n + 5*z - 14 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - -1. Suppose 2*m - 2 + 10 = 3*k, -4*k + n = -2*m. Let z be ((-2)\/4)\/((-1)\/(-2)). Which is smaller: z or k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 6:59 AM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 505437.7ng to tonnes.\nAnswer: 0.0000000005054377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 2*a + 8 = -30, 9 = -2*v + a for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*o = 8. Is (-4065)\/(-25) - o\/(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -6358*q. Let m(x) = -2859*x. What is u(m(j))?\nAnswer: 18177522*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, n: 2}. Give prob of picking 1 n and 1 v.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 95? (a) 1358 (b) -0.3 (c) -0.103\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61046771.\nAnswer: 263, 232117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3283924 is divided by 1691?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/6*-3)\/(-3)*(-2)\/6.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -174046*v**4 - 42*v**3 + 7*v**2 + 120628*v - 325.\nAnswer: -2088552*v**2 - 252*v + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -34931 + -1?\nAnswer: -34932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -1\/194, 0.2, 0.3, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 + -5.2. Suppose -d - 4*d + 2*s = 26, 0 = 3*d + 4*s. What is the smallest value in -0.3, r, d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -32 - 51268527?\nAnswer: -51268560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9*((-12)\/4)\/(6\/(-140)). Let g be (m\/7)\/(1*2). Suppose 0 = -3*p + 5*i + 5 + 44, 2*i = p - 16. What is the greatest common factor of g and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m - 19*m = -24. Solve 3*s - 2*u = -16, m*s - u - u + 18 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 2:17 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 1. Let f be (-2)\/(-1 + 3) - w. Suppose -3*q = -4*i + 12, -5*i - 4 = q - 0*i. Put 4, q, f in decreasing order.\nAnswer: 4, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2409 - 491393\/204. Let l = -2\/51 - x. Let i = 2.3 - 0.3. Which is the smallest value? (a) i (b) l (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-14))\/((-572)\/(-54054)).\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5033 + 5039. Which is the second biggest value? (a) m (b) -51 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 0.051\nAnswer: 0.0255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -50*l**4 + 1798*l - 1798*l + 3*l**4 + 0*l**4 - 2*l**4 + (0 + 0 + l)*(-2*l**3 - 2*l + 2*l).\nAnswer: -51*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -12033?\nAnswer: 12041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-24 + 14) - (0 - -22)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**12\/k*(k**(-11)*k)\/k)**(2\/29)*((k*k**(3\/5)*k)\/(k\/((k*k**(-2\/11))\/k)*k))\/(k\/(k\/k**(1\/3)))**(-43) assuming k is positive.\nAnswer: k**(2434\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 10, m: 4}. Give prob of picking 2 j.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5101 divided by -1?\nAnswer: 5101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4851?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 6*l**2 - 2. Let j(a) be the second derivative of -a**4\/8 - 10*a**2 - 50*a. Let h(q) be the first derivative of j(q). Determine i(h(z)).\nAnswer: 54*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + x - 1. Let o = -3 - -2. Let z(u) = -2*u**4 + 6*u**2 + 12*u + 2. Let r(b) = o*z(b) + 2*q(b). Factor r(p).\nAnswer: 2*(p - 2)*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -5*o - 20. Let z be 1 + 3 + o\/1. Suppose 3*v = -3*x - v + 686, z = 5*x + v - 1115. Is x a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 5*x - 21 = 0, 5*q + 4*x + 6 - 4 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 4*y = -12. Suppose 9 = a + y. Solve 0 = a*x - 7 - 13 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 548 - 132. Let t = -91 + v. What are the prime factors of t?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-2\/15))\/(b\/(b*(b*b*b**6)\/b)*b))**(-38) assuming b is positive.\nAnswer: b**(-3914\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (336\/(-56))\/(74\/777)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y\/y**(1\/4))*y*y)\/y)**(-7\/5)*y**(-1\/5)*y*y*y**5 assuming y is positive.\nAnswer: y**(73\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -240.8 rounded to the nearest ten?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - ((-1)\/(-5) + (-28)\/(-10)). Suppose d = 3*y - 2*q - 50, -q + 32 = 2*y - 3*q. What is the lowest common multiple of 9 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(108) + -5 + sqrt(108))*-2)**2 + 1 + (sqrt(243)*1*3*-4)**2 + 4.\nAnswer: -384*sqrt(3) + 36789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -51*d**2 + 45*d + 9. Let t(v) = 2 - 4 - 3 - 22*v + 26*v**2 + 1. Let y(f) = 13*t(f) + 6*x(f). Suppose y(o) = 0. What is o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 6 - -12 - 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4147 is divided by 2036.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - t**2 - t + 2. Let s = -115 - -117. What is d(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5086028*x**2 - x**3 + 5086028*x**2.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9320233 centuries to months.\nAnswer: 1118.42796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -893, -7, 0.5 in descending order.\nAnswer: 0.5, -7, -893","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -7. Let y be a\/(-7) + (-408)\/28. Let u be -1 + (-5)\/y + 0\/(-1). What is the nearest to u in 5\/3, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -7) + (5 - 6 - 6)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -15841 divided by 66\nAnswer: -15841\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -947 + 943. Let f be (104\/(-60))\/((-4)\/294). Let s = 127 - f. Sort s, -0.1, w, 2\/5.\nAnswer: w, s, -0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 greater than 44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101001 (base 2) to base 16.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 - 33. Let l = h - -73. Suppose -7*n + l*n = 8072. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17 + 27 - 28)*(-39 - 55 + 8)*(2 - 2 + a) + (0*a + 3*a - a)*(4 + 4 - 6)*(1 - 3 + 3) as r*a + o and give r.\nAnswer: 1552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2995.\nAnswer: 5, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 84137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**3*l - 2*f**3 - 19*f*l - 86*f wrt l.\nAnswer: -f**3 - 19*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -0.12, -411, 6176?\nAnswer: 6176","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 + 14*l + 873. Let y(m) = m**2 + 1. Let s(h) = o(h) + 6*y(h). Differentiate s(w) wrt w.\nAnswer: 16*w + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaalhlhabhabahlbabh. Give prob of picking 1 l and 2 h.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -65*o**3 + 245170*o**2 + 15235565*o + 2338130 = 0.\nAnswer: -61, -2\/13, 3833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.367954 to two dps.\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 606*j - 825*j = -657 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h - 2. Let n be -4 + -2 + 4 - 0. Give j(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 8*x - 10. Let v be z(2). Calculate the greatest common divisor of 7 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 8*v + 8. Suppose 8*t - 4*t = 20. Suppose -t*b = -39 - 1. Calculate the lowest common multiple of 10 and f(b).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00961227 rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 90.21038 decades?\nAnswer: 10825.2456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10624437?\nAnswer: 3, 1180493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 7847\/(-95)*800\/(-840)*9\/6\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -17.94. Is 0.1 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by (4\/(-12))\/(-2 + 620\/312)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + o + 19 = 0, 4*i - 3*o = 501 - 520 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 1\/27*g**4 + 0 + 0*g**3 - 2\/9*g**2 - 9*g. What is q in f(q) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 5, 4.\nAnswer: -3, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, -140, -203, -250, -275, -272, -235, -158?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -20, 5*d - 5 = 3*n + 9*d for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i. Let t(m) = 348*m. Determine t(k(a)).\nAnswer: -348*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5*-2*(-1 + (5*sqrt(704))**2 + sqrt(704) + -3 + (sqrt(704)*1 + sqrt(704))**2)*5.\nAnswer: -1020595 - 400*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1041*a - 44 = 1037*a - 4*n, -4*a + 5*n - 10 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7060207 divided by -6\nAnswer: 7060207\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 746?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 8*t + 7. Calculate f(4).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 + (-84)\/10)*(7\/2 + -1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c6 + 2?\nAnswer: c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -28796243664 + -3.7?\nAnswer: -28796243667.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1530541649?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 5*l - 14, -l + 4 = 5*d - 8. Suppose d*q - 46 = -10. Let s = 1 + 1. What is the highest common factor of q and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*(a\/(a\/(a**(2\/7)\/a)))\/a*a*a)**9)**30\/(a\/a**1*a**4*a**(1\/4)*a*a**(1\/8)) assuming a is positive.\nAnswer: a**(34259\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 + -165 + 126 - (-21 - -1).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventeen halves of a millimeter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1452, 2, -15, -10 in descending order.\nAnswer: 1452, 2, -10, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 5*b = 10, -3*z + 16 = -z + 3*b for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*l**4 - 38371*l**3 - 251703*l**2 + 804771*l - 295650 = 0. What is l?\nAnswer: -5475, -9, 3\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -87 - -87. Solve h = -0*o - 3*o - 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -154 (b) -2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1212011212002 (base 3) to base 11\nAnswer: 61507a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3 + 516*y**2 + 5232*y + 4720.\nAnswer: 4*(y + 1)*(y + 10)*(y + 118)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2343 (base 12) to base 14.\nAnswer: 1615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**5\/3 + 37*p**4 + 10769*p**3 + 1973573*p**2\/3 + 13920998*p + 62118672 = 0. Calculate p.\nAnswer: -49, -6, 264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11*56\/(-110)*1440\/192?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3702469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -886 - -926.1. Let t = 42 - y. Let x = 2.9 - t. Does x = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (105\/14)\/(-3)*(-1)\/(-25)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30833203?\nAnswer: 30833203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -s**6\/144 - s**5\/24 - 3*s**4\/4 + 20*s. Let a(k) be the third derivative of x(k). What is a(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 1:02 PM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 - -30. Suppose -p = v - 10. Let w(h) = 5*h - 26. What is w(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*c - 7700 = -47*c - 11*c for c.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*j + 122090 - 16278. What is the thousands digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3482 + 34c9?\nAnswer: 697b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 17 - 5. Let b(t) = t. Let k(m) = -3*m - 4. Let u(s) = -4*b(s) - k(s). Let z be u(w). Solve z = o + 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, i: 2, r: 3, b: 7}. What is prob of picking 3 b?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d, 8 = 2*r - 4*d - 0. Calculate the greatest common divisor of 28 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 3*o)*(1 + 2 - 4) + (275 - 444 - 270 - 275)*(-2*o + 4*o - 3*o) in the form p*o + v and give p.\nAnswer: 711","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggssssgggsgggggggg. What is prob of picking 2 g?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 60?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2*k - 8 = 0, 4*m - 7 - 7 = -k. Let r = -1 + 5. Suppose -213 = -r*y + m*s, 2*y - 4*s = s + 117. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 87\/(-2)*(0 - (-4)\/(-3)). Let g = w + -51. Calculate the remainder when 10 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 34*w + 37*w + 77, -2*g + 49 = -5*w. Let m = 13 + -1. Suppose m*f = g*f - 120. Round f to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6455 and -0.56218.\nAnswer: -3628.8719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 83.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2765, -13825, -37495, -78059, -139801, -227005, -343955?\n\"Answer: -714*z**3 - 2021*z**2 + z - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*j**2 - 118*j**2 - 9*j**2 - 14*j**2 - 6*j**2 - 135*j**2.\nAnswer: -244*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1831 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -j**5\/90 + j**3\/9 + 10*j**2. Factor h(k).\nAnswer: -2*(k - 1)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -6.97. Let c = 5.15 - 4. Let l = z - c. What is l rounded to 1 dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**2 - 4*d - 7. Let g(r) = 3*r**2 + 5*r + 8. Let q(l) = -3*g(l) - 4*t(l). Let c be q(3). Let j = 0.2 + -0.3. Sort j, 3, c in descending order.\nAnswer: 3, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -72*m - 26\/3*m**3 - 1\/2*m**4 - 14 - 48*m**2. Factor f(v).\nAnswer: -2*(v + 1)*(v + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 15*a**2 + 16*a + 3. Let d = -55 + 39. Let x be r(d). Let m be (29 - 27)*3\/(-6). Is x >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of 10\/3*w**5 - 8 + 0*w**3 + 0*w**4 - 59\/6*w**6 + 7*w**2 + 0*w + 32\/15*w**7 - 11\/84*w**8. Factor x(n).\nAnswer: -4*n**2*(n - 5)**2*(11*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -598 + 24 - 59 - 227 + 2*n - 224.\nAnswer: 2*n - 1084","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/(-5)*(3190\/(-44))\/(-29).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 89158277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 6*m**2 + 8*m**2 - 3*m + 3*m. Calculate the remainder when 41 is divided by s(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 7*q - 12 = 0. What is the tens digit of 12454\/52 - 1\/q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 11*o - 13. What are the prime factors of i(6)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 less than 107.133289?\nAnswer: 107.123289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 977516?\nAnswer: 2, 244379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8214818?\nAnswer: 2, 23, 107, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1158605 is divided by 105327?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9962320 to the nearest integer?\nAnswer: 3156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*p - 27 + 27.\nAnswer: -122*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 81*p**2 + 115 - 342 + 289 as c*p + o + d*p**2 and give o.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 - -6)*3\/(-6). Let p(f) = -f**3 - 4*f**2 + f. Let y(c) = 4*c**2. Let m(s) = 3*s**2. Let h(l) = 3*m(l) - 2*y(l). Give u*h(b) - p(b).\nAnswer: b**3 - 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 - -11. Calculate the remainder when 66 is divided by 19 - (-9)\/(a\/20).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**3 + f**2 - 2 + 7*f**2 - f**2 - 2*f**2. Let n be (4\/2)\/(-2) - 6. Let y be 42\/n*2\/3. Let m(w) = 4*w**3 - 9*w**2 + 3. Determine y*m(b) - 7*d(b).\nAnswer: -2*b**3 + b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102 and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 f when three letters picked without replacement from {r: 2, f: 4, a: 1, o: 3, e: 2, q: 3}?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + c + 1. Let k = 108 - 107. Let t(m) = -3*m**3 - 2*m**2 + 2. Calculate k*t(d) - 2*j(d).\nAnswer: -d**3 - 2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l + 2. Suppose -g + 4*v = 8, -g - 5 = 3*v - 4. Determine d(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 116.\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -14698\nAnswer: -2\/7349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(8)*-1) + 2.\nAnswer: -sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 8*n + 10. Let r be y(7). Let v be r + 1946\/10 + (-2)\/(-5). Suppose -2*j + 2*b = -2*b - v, -2*j = -5*b - 203. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 237 + 76 = 0. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) -3\/17 (c) -3 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 583\/37 - 395783\/25123. Let c = -1 - 0. Which is greater: c or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjlllllj. What is prob of sequence lllj?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 100477714?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*t - j - 269 = 14*t - 5, 26*j + 213 = 4*t + 27*j for t.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-2072)\/(-4218)*((-60)\/(-35))\/(-2)\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.5567 - 2.778. Let h = -3.78 + 4. Let g = l + h. Round g to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 661010 and 735?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 71146 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/5 and 8\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -0.4 (b) -2 (c) -1.8 (d) 8 (e) -30 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9163 - 9107. Suppose -2*p + 2 = -4, -4*p = 5*x - 157. Let h = x - 21. What is the greatest common factor of h and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3*h - 42 = 0, 64 = 4*l - 2*h + 2. Suppose 4*k = 20, -11 = -2*q - 2*k + 23. Solve l*p = 11*p + q for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 2804405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 12*k**2. Let w(t) = 2*t. Give l(w(b)).\nAnswer: 48*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 1 - 3) + 38\/2. Let u(y) = 8 - y**2 - k - 4*y + 4. What is u(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z - 7. Let f be o(6). Suppose -5 - f = -t. What is the remainder when 27 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 22. Let v = l + -44. Let p = 20.44 + v. What is p rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.5 * -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, d: 4, z: 3, s: 1, a: 2, r: 2}. What is prob of picking 2 d and 1 z?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 885 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-32)*7275\/(-495). Let j = 1\/176 - r. Let t = -0.3 + -0.7. What is the third biggest value in j, t, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9674939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.5 + 0.5. Let k = -42.29 + 42.19. What is the closest to 0.3 in k, l, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 748 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: What is 1010011 (base 2) in base 12?\nAnswer: 6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 490 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3 = -3*f, 27 + 0 = 4*n + f. Which is greater: n or 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101000 - 22?\nAnswer: 100201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -m**6\/120 - m**5\/40 + m**4\/4 + 5*m**3\/6 + 27*m**2. Let q(o) be the first derivative of t(o). Factor q(r).\nAnswer: -3*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.22 - 426575401274\nAnswer: -426575401273.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 88, 327, 786, 1537, 2652, 4203, 6262?\nAnswer: 8901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by -95.\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = p + 4, r = 3*p - 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4675169587 to the nearest integer?\nAnswer: 1672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 0.1, -4581, 66.\nAnswer: -4581, -4, -1, 0.1, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1b8221 (base 15) to base 9\nAnswer: -2467224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*s + 12. What is the derivative of 15*d**2 + 19*d**s - 3550 + 3519 wrt d?\nAnswer: 68*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -15 + (19 - (2 - -5)) + -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 145\/153802?\nAnswer: 145\/153802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of 7*q**4\/3 - 264*q. Let d(g) = 6*g. Calculate d(y(j)).\nAnswer: 168*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8904, -3237, 2430, 8097?\nAnswer: 13764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s + s - 2*s + (s + s - 2 - s)*(1 + 8 - 4).\nAnswer: 7*s - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 984894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + 12 + 20 + -13 - 34.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4834092 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 678710 and 239971.\nAnswer: 918681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 1:45 AM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -1\/24*y**4 + 0*y**6 + 0*y**3 + 0*y**5 + 1\/84*y**8 + 0*y - y**2 + 0*y**7 + 0. What is the second derivative of p(g) wrt g?\nAnswer: 80*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*f + 4*k - 8 = 47*f - 4, 0*f + 4 = -f + 4*k for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**3 - 32*o**2 - 1. Determine t(16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135746 is divided by 301?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-186)\/(-8) + 1\/(-4). Suppose -j = -3*v + 4. Let u(f) = f**2 - 4*f - 8. List the prime factors of u(v).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 30, 40, 64, 108, 178, 280, 420, 604?\n\"Answer: s**3 + s**2 + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 558\nAnswer: 2\/279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(55 - 3)\/4. Let x = c + -28. Let y be x\/9 + (-21)\/(-216). Put 5, y, 1 in decreasing order.\nAnswer: 5, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6272906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 276 - 262. Solve -2*f - l*f = 16 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 4 - -2 - (1 + -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 1 - (-323 - -63). Let j(f) = 27 - 16 - 5 - y*f - 6. Let w(i) = i. Calculate w(j(c)).\nAnswer: -260*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i + 13. Is t(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 10) in base 15?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 42 = r - 3*j, -j + 312 = 4*r. Suppose -2*f + 0 + 22 = 0. What is the highest common factor of r and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 110496 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 3:49 PM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.98 + -0.02. Let a = f - -9. Let s = a + -5.8. Which is bigger: -1\/3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2216, -17843, -60256, -142847, -279008, -482131, -765608?\n\"Answer: -2232*m**3 - m**2 + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 9. Let a(g) = g + 8. Let j be a(0). Suppose -b - 3*b = -j. Solve -h*q + 8 = -b*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 58*y. Let t(w) = 7*w. Determine s(t(g)).\nAnswer: 406*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 30 = -5*l, -4*l + 2*i + 24 = i. Solve l - 1 = 5*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(2\/19)*(r\/r**(-1\/35))\/r assuming r is positive.\nAnswer: r**(754\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.07 (b) 2 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (0 + 1\/1). Let t(g) = -9*g**2 + 170*g + 23. Let l be t(19). Suppose -2*k + l*k = z. Solve k = -5*s - 4*a - 29, a - 14 = 4*s + 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 20. Solve -10 = -3*c + s*b - 3*b, 4*b = c - 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.5317 to one decimal place.\nAnswer: 13.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3268347 to the nearest integer?\nAnswer: 1808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-16622.\nAnswer: -4986.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -70273924.56 rounded to the nearest 10000?\nAnswer: -70270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -897 - -2219. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96 + -29 + 20085\/(-325)\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 4*k, -5*k - 50 = -5*p - 0*k. Suppose 3*j = 2*x + 2 + p, 5*x = 4*j. Let l(h) = -h + h - j*h**2 + 0*h. Let t(c) = c. Determine l(t(u)).\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.503 + -3?\nAnswer: -19.503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82, 20, -42, -104, -166?\nAnswer: -228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 - 5*m**2 + m**2 - 3*m**2 + 3*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278*s - 271*s = 28 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 24*u**2 - 130*u + 67. Give h(-16).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert ca (base 15) to base 4.\nAnswer: 2332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -63 + 60. Put 2\/9, -1.2, x in decreasing order.\nAnswer: 2\/9, -1.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82\/5 of a microgram in nanograms?\nAnswer: 16400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 6 - 2*n)*(-3 + 2 + 0) + 1083*n - 1322*n - 3260*n.\nAnswer: -3497*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -196, 3, -63, 2, -3.\nAnswer: -196, -63, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**4 + u**4 - 5*u**4 + (u**4 + 3*u**4 + 0*u**4)*(2 - 7 - 25) as w + p*u**2 + x*u**4 + z*u + g*u**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 641136.\nAnswer: 1923408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*i = -5934, 5*g - 2*i = -2404 + 8335. Suppose -3*j + 15 = 0, 0 = 4*l + l - 4*j - g. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -5. Suppose x + u + 3 = 12, -3*x + 32 = h*u. Is 2\/x - 4584\/(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + ((-5)\/(-15) - 17\/(-3)). Let v = 36 - 21. Suppose -w*p + 7*p - v = 0. Calculate the remainder when 28 is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33360 is divided by 1131.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.11 - -1.89. Suppose 3*k = 4*k - 162. Let l = -643\/4 + k. What is the closest to 0 in l, i, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2211*h**5 - 3*h**4 + 1035*h**2 - 150852344*h wrt h?\nAnswer: 44220*h**3 - 36*h**2 + 2070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 11 (c) 1\/4 (d) -145\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3337511 litres to millilitres.\nAnswer: 333.7511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(24\/(-6) + 3). Solve -14 = m*o - 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02 + 2.98. Let q be 44\/7 - 4\/14. Let j be ((-3)\/q)\/(75\/12 - -2). Which is the third biggest value? (a) j (b) 4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + i**2 - 4*i + 20. Give k(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + 1. Let y(j) = j**2 + 17. What is the remainder when d is divided by y(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.988518l in millilitres?\nAnswer: 7988.518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*t = -1175 + 7737 for t.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5*y**3 + 3*y - 3. Let q = -12 - -15. Suppose 5*x + 7*w - 4*w + 44 = 0, 0 = -3*x - 3*w - 24. Let l(m) = 16*m**3 + 10*m - 10. Give q*l(g) + x*z(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5c6 (base 14) in base 15?\nAnswer: 51e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -57410000 rounded to the nearest one million?\nAnswer: -57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h - 15, -14*h + 68 = t + 112 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 14, -3, 77, -51, -4 in ascending order.\nAnswer: -51, -4, -3, 1, 3, 14, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 565 minutes before 6:11 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16510555*f**4 - 514529276*f**2.\nAnswer: -396253320*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 5. Solve -i*o - 2*x = -25 - 2, -3*o + 20 = 5*x for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, q: 2}. Give prob of sequence qo.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -98 less than 2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -331 - -497. Let h = 166.145 - x. What is h rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2429?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 7 = 2*x. Suppose 0 = -u - 30 - x. Let d = -22 - u. What is the greatest common divisor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, u: 6, k: 1, q: 4, r: 1}. Give prob of picking 3 w.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 401 + 1?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 16162, -6, -2, 1, -4, 2, -3 in increasing order.\nAnswer: -6, -4, -3, -2, 1, 2, 16162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.56? (a) 0.0727 (b) 5\/37 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j**(-1\/33)*j))\/(j\/((j*j**(4\/5))\/j)))\/(j\/(j**(2\/17)\/j))**(-47))**(-12\/11) assuming j is positive.\nAnswer: j**(-990736\/10285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86926*v + 40 = 5*p + 86930*v, 10*p - v = 80 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(0 - -4)*-261. Let s be 4\/6 + 183\/f. Let v = s + 31\/58. Is -1\/7 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a litre in millilitres?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*t + 12. Let o(m) = m**2 + 12*m**3 + 2*m**2 - m - 2*m**2. What is the least common multiple of o(1) and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 5, -77, -5, -1078 in descending order.\nAnswer: 5, 4, 0, -5, -77, -1078","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 490879 is divided by 5167?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -242 in increasing order.\nAnswer: -242, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 739390?\nAnswer: 2, 5, 73939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = 3*s - 287. Let t(v) = 4*v**2 - v**3 + 3*v + 5*v - 3*v + 10. Let d be t(5). Calculate the highest common divisor of d and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*g*g**(1\/2)*g*g*g)\/g*g**(-4)*g)\/((g*g**0)\/(g**(-5)*g)))\/(g**(2\/7)*g**4*(g*g**(-3\/2))\/g*g\/g**(-2\/3)) assuming g is positive.\nAnswer: g**(-146\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3463 - -3465. Let r(a) = -2*a**3 + 3*a**2 - 2*a + 1. What is r(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 2. Let j(t) = t**3 - t**2 + 144*t + 1. Let b(w) = -3*w**3 + 3*w**2 - 291*w - 1. Let v(a) = -b(a) - 2*j(a). What is v(c)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + z = -2*w + 52, 132 = 4*w + 3*z. Is 12 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**4\/4 - 45*f**3\/2 - 21*f**2 + 45*f\/2 + 87\/4 = 0. What is f?\nAnswer: -29, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 848 and 1537?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/25 in 2\/13, 3, 7705, -0.5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 567011?\nAnswer: 567011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 24. Calculate the least common multiple of 8 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10588.023 + -0.4\nAnswer: -10588.423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 467 = 973. Suppose -312 = -3*m + k. What is the highest common factor of m and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2014 a factor of 127500298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 8*s**2 + 5*s + 124. Let b(t) = 23*t**2 + 14*t + 326. Give 3*b(f) - 8*h(f).\nAnswer: 5*f**2 + 2*f - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -952 (base 12) to base 8\nAnswer: -2516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uluuuuul. Give prob of sequence uu.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 724385, 724577, 724897, 725345?\nAnswer: 725921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1196 and 0.01.\nAnswer: -1195.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2 + 0 + 4 - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -89785767260 - 0?\nAnswer: -89785767260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2. Let f(u) be the third derivative of 0*u**4 + 0 + 1\/20*u**5 + 0*u**3 + 0*u - 6*u**2. What is g(f(a))?\nAnswer: 9*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 28418a00?\nAnswer: 284189a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2 = -1. Let y be 1\/(g\/(-2)) + 3. Is 5 a factor of -1 - ((-15)\/1)\/y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s\/(s**(-6\/5)\/s)*s))\/s)\/s**(4\/5) assuming s is positive.\nAnswer: s**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126) + -1*sqrt(126)*1)\/(sqrt(7) - sqrt(77)\/(sqrt(11)*-2)))\/(2*(sqrt(294)\/sqrt(28))\/sqrt(7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - 17. What are the prime factors of 1302\/(-24)*((-2)\/(-1) - n)?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26553 = -175*o + 668*o + 17673 + 21836 for o.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -243 - -4?\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6 - ((-36)\/(-8))\/((-6)\/7928)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 463 at least -3316?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -6*i. Let q(m) = -18*m**2. Give q(z(f)).\nAnswer: -648*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -51*g**3 - 3*g**2 - 2*g + 2. Let y be q(-1). Calculate the highest common factor of 78 and y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwobwboowuwouovob. What is prob of sequence ooow?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 7. Let s be i(5). Suppose 4*t + s = 2*t. Let m = t - -16. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c + 50. Let y(l) = -5*l - 101. Determine 7*b(m) + 4*y(m).\nAnswer: m - 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*p + 5*b, -2*b = 4*p - b - 14. Suppose -p*d = 10 + 14. What is the units digit of (-10)\/15 + d\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/(-1*sqrt(2)*-1 - sqrt(2) - sqrt(2)))**2*-5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*n - 56*n = 115*n + 1632 for n.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1388*a - u + 12 = 1383*a, -5*u + 18 = -4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 108269, 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 487676?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26228 is divided by 2409?\nAnswer: 2138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -193, -749, -1659, -2917, -4517?\nAnswer: -6453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 4*w - 14 = -2*s, -3 = -w. Let r = -4 - -6. Which is smaller: s or r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -65b489b - 3?\nAnswer: -65b48a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 264 - 262. Suppose f - h*f - 2*d = -1, 2*f = d + 27. What is the remainder when 39 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7825 + 7828. Factor 0 - 8\/5*i**2 - 2\/5*i**u - 8\/5*i.\nAnswer: -2*i*(i + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + b - 35. Let a(y) = 4*y**2 - 28*y + 55. Let p(f) = a(f) + 5*n(f). Find w, given that p(w) = 0.\nAnswer: -15, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 93 (b) 16 (c) 4 (d) -1\/8 (e) -4 (f) -102\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 154*f**3 - 171 wrt f?\nAnswer: 462*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*sqrt(832))**2*-2.\nAnswer: 9984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48469?\nAnswer: 19, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 46 = 3*n, 2 - 6 = -2*n + 4*g. Suppose 9*k = n*k - 2557. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - k)*(1 - 5 + 1)*(5*k - k - k + 8).\nAnswer: 9*k**2 + 24*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (762*w - 2*w**2 + w**3 - 762*w)*(-w + 5*w - 5*w) + (0*w**2 + w**2 - 2*w**2)*(4*w**2 - 2*w**2 - 4*w**2).\nAnswer: w**4 + 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.7938 times 0.26\nAnswer: 0.206388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*3 + sqrt(20) + 4*(sqrt(60)\/sqrt(3) - sqrt(20)))\/((sqrt(240)\/(sqrt(12) + sqrt(24)\/sqrt(2)))\/(3*sqrt(6)\/sqrt(3))) + -5.\nAnswer: -5 + 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m**2\/3 - 162220*m\/3 - 5024015\/3 = 0.\nAnswer: -32413, -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 192.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 551, 530, 519, 524, 551, 606, 695, 824?\n\"Answer: f**3 - f**2 - 25*f + 576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**4 - 420*g**3 - 6196*g**2 + 1266900*g - 9540000.\nAnswer: 4*(g - 75)**2*(g - 8)*(g + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 94515838 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7750 - 7750 - 4*w**3)*(-w + 1 + w + w).\nAnswer: -4*w**4 - 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -4478\nAnswer: -4474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*v - 738 = 0, 4*i + 2*v = 2*i + 1458. Suppose -29*o - i = -32*o. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + y - 18, 3*u = -84*y + 87*y. Solve u = -2*w - 5*h - 2, -2*w + 5*h = -25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2178 + 42189*q - 2178 + 32696*q.\nAnswer: 74885*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -210 - -1888\/9. Let p = -5.56344 - -3.56344. What is the fourth biggest value in -1.5, z, -2\/7, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-48))\/((-1)\/1)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000971 to five dps.\nAnswer: -0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 6*t - 130. Let l(x) = -x**3 + 19*x**2 + 2*x - 18. Let u be l(19). Let y(w) = w**2 - 20*w + 27. Let a be y(u). Which is smaller: a or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 387, 385, 383?\n\"Answer: -2*d + 389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 240 = 320. Suppose 0 = i + 2*v + v - 35, 4*i - 2*v = f. Suppose 0 = h - 5*h + 40. Calculate the remainder when i is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58 + 60. Suppose -4*u = -v - 9, -g*v - 4*u = 2*v - 24. Let b be (-2)\/6 - (-16)\/(-6). Put b, v, 0 in descending order.\nAnswer: v, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -0.69 (b) 1\/2 (c) 230 (d) -2 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from njnwwwwnwnjj. What is prob of picking 3 w?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*u = -193 + 49 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**3 - 15*n**2 - 72*n - 108 = 0. What is n?\nAnswer: -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9514 and 268?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8226 and -4?\nAnswer: 32904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.68629997 to four dps.\nAnswer: -0.6863","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - o - 19 = 0, 4*o + 1 = 4*k - 3. Suppose 20*h - 6*h - 56 = 0. Let q be (h\/(-6))\/(9\/(-324)*-6). Which is the nearest to -0.1? (a) 0.5 (b) k (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 7*m - 32. Determine y(-16).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 20. Suppose -l - r + 29 = 0. Solve l*u - 25 = 2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345207 greater than 345208?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - -1) + 6 - 2. Suppose 5*p - l*p = -3*u + 346, -702 = -4*p - u. What is the highest common divisor of p and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393 a factor of 39558987?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, u: 1, q: 1, y: 1, h: 2, j: 1}. What is prob of sequence hj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v**2. Let u(o) = o**2 - 22*o. Calculate m(u(k)).\nAnswer: -3*k**4 + 132*k**3 - 1452*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -321774, -643669, -965642, -1287687, -1609798?\nAnswer: -1931969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 7*i + 1. Let c be b(7). Suppose 9 = 5*r - c. Let q = 0 - 3. Sort -1, r, q in decreasing order.\nAnswer: r, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pphhpppppphpppphhp. Give prob of picking 1 h and 2 p.\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 285617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39.5 - -39. Which is the nearest to 1? (a) 0 (b) 5 (c) 7 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 289218*z + 182121*z - 16543*z.\nAnswer: 454796*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8217, 16461, 24707, 32955, 41205, 49457, 57711?\nAnswer: 65967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 231782 - -2.8?\nAnswer: 231784.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58699420?\nAnswer: 2, 5, 13, 225767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000076001 rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 4 + (18 - -1 - (1 - 6))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = o - 5*l, 3*o - 3*l = -4 - 2. What is the least common multiple of o and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k**2 + k + 1. Let a be u(-1). Let d(v) = 2*v**2 - 3*v + 5. Let c be d(2). Let r(q) = -c*q - q + 9*q - 4. Give r(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from plplllpvpljpll. What is prob of sequence ll?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 211\/(2 - (-9)\/(-5)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3*sqrt(275)\/sqrt(5) - sqrt(55)))\/((-1*sqrt(50))\/sqrt(10) - 3*sqrt(20)).\nAnswer: -4*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 127333 and 14272.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14966 - -15001. Calculate the remainder when 1359 is divided by f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-3 + -2 + sqrt(200) + -2 + -2)*-1)**2.\nAnswer: -180*sqrt(2) + 285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p - 3. Let z = 6 - 8. Let u be f(z). Find the first derivative of u*m - 5*m - m**3 + 2 wrt m.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 5*k**5 - 14215*k**4 - 2062240*k**3 - 77045180*k**2 - 283889120*k - 275867840 = 0.\nAnswer: -68, -2, 2983","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -653, -664, -673, -680, -685, -688?\nAnswer: -689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/9 + (-8750)\/(-9) + -1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**3 - 8*u**2 - 8*u - 11. Let h be x(7). Let c(z) = z**3 - 14*z**2 + 4*z + 19. Let o be c(13). Let n = h + o. What are the prime factors of n?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/137 and 1*2\/5 + 12768\/3080?\nAnswer: 1507","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.3 - -1.48. Let u = -0.02 - j. Put 0.1, 0.5, u in increasing order.\nAnswer: u, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (1 + -3) - (21 - 14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -24303011 (base 6) to base 2\nAnswer: -10111100000110101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lddd. Give prob of sequence ld.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1759 divided by -61027\nAnswer: -1759\/61027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 114 - (97 + -76)) + -1 + 10?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1684 is divided by 279.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 at least -1.7688?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -211233 + 1213?\nAnswer: -210020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of w**4\/24 - w**3\/2 + w**2. Let c be r(3). Suppose 2*x - 4*b - 66 = c, -2*x + 55 - 10 = 3*b. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zzzzzizi.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w**2 + 2. Let t(c) = 7*c**2 + 5. Let s(k) = 14*k**3 - 10*k + 11. Let d be s(1). Suppose 7*i + d - 29 = 0. Determine i*t(m) - 5*x(m).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5330847 and 348747?\nAnswer: 37315929","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 146558 and 30988.\nAnswer: 17880076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 7:22 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 331337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*t**2 + 80*t**2 + 153*t**2 + 5*t + 22*t**2 - 4*t as j*t**2 + x*t + h and give j.\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2225 - -2225.5. What is the third biggest value in -0.2, b, 514?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 142 or 78521?\nAnswer: 142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o - 3*o + 5*o)*(599*o**2 + 170*o**3 - 599*o**2) - 12 - 3*o**4 - 6 + 21 to x*o**2 + a*o**3 + s*o + y + u*o**4 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**2\/c))\/c**(-2\/9))\/(c\/(c*c**5\/c)*c)**(-1\/30) assuming c is positive.\nAnswer: c**(-79\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 17*s - 4*s - 14*s - 10. Let z be v(-10). Sort 3, z, -3 in decreasing order.\nAnswer: 3, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/12883 - 25744\/141713. What is the third biggest value in -0.421, y, 2\/5, -1?\nAnswer: -0.421","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = t - 351, -2*t + 785 = 2*h + 91. Does 23 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2. Let t(d) = 12136432*d. Give s(t(c)).\nAnswer: 147292981690624*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*k**4 + 3*k - 3*k - 547*k**2 + 269*k**2 + 6*k**3 - 498*k**2 wrt k?\nAnswer: -72*k + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 15362239?\nAnswer: 3\/15362239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2110 + 315000?\nAnswer: 312450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 17. Suppose -b*a = -1454 - 1954. Is a a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rkyrykryrrgrrgyry. Give prob of sequence krky.\nAnswer: 1\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210*w + 103*w + 106*w - 774.\nAnswer: -w - 774","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 4\/2)*-3. Let g be (-1)\/(r\/1 - 4). Suppose 0 = 2*a - 4, -i = -0*i - a + 1. Is i at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 6*s**2 - 5*s + 4. Let x be a(-5). Solve -4*y - b = 12, b + 24 = -2*y - x*b for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (21\/(-210)*-5)\/((-6)\/4). Let w = -0.2 - 2.8. Sort 0.18, w, q.\nAnswer: w, q, 0.18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - d + 4, -7 + 0 = -z - 4*d. Suppose 0 = z*w + 2*w - 20. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119015 is divided by 59405?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -4 - 116. Let g = 24 - k. Suppose y + 4 + 0 = 0. What is the second biggest value in y, g, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -129\/376340 and -50\/26381.\nAnswer: 320265340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 2. Let d(p) = 2 + 5 + 6*p - 4 + r*p**2 + 4*p**2. Let a(w) be the first derivative of -w**3 - 5*w**2\/2 - 2*w + 5. Give -5*a(v) - 4*d(v).\nAnswer: -v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2.244543g?\nAnswer: 2244.543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o + 0*o + o. Let k(l) be the third derivative of -l**5\/15 - 33*l**2. What is k(y(v))?\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -p**3\/3 - 257*p**2\/2 - 255*p + 2490. Determine i(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 9\/1711 (b) 0.5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 43417 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1718, 7088, 16346, 29750, 47558?\nAnswer: 70028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-462) + 60\/630\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 5. Sort -2, 2, g.\nAnswer: -2, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-15) + (-5478)\/(-10). Suppose 0*n + b = 4*n + 4*z, 2*z = 4*n - 578. Suppose -j - j = 4*c - n, 4*c = 5*j + 177. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - 3*t + 2*t)*(5*t + 8*t - 10*t + 5*t**2).\nAnswer: -15*t**3 - 9*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(2\/7)\/n))**(-7\/2)\/(n**(-1\/5)\/(((n\/((n\/(n\/(n**(-2)\/n)*n))\/n)*n)\/n)\/n)))\/((((n**(1\/8)\/n)\/n*n)\/n)\/n**(-2))**50 assuming n is positive.\nAnswer: n**(-141\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 2*q**5\/5 + 4*q**4 - 2*q**3\/3 - 8*q**2 + 462. Let w(u) = 0. Calculate u.\nAnswer: -8, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24.3 - -29.52. Which is greater: 0.1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 1266*i + 85. Is g(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1334, -5307, -11928, -21197, -33114, -47679, -64892?\nAnswer: -84753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15810 times -0.3?\nAnswer: 4743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -377, -758, -1145, -1538, -1937?\nAnswer: -2342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110977 is divided by 2844.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a + 56. Let t(o) = o - 11. Let s(x) = 16*t(x) + 3*v(x). Let l(n) = -n + 1. Determine 6*l(u) + s(u).\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 13770*u - 607. Is w(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -118 + -27. Let y = -103 - a. Calculate the remainder when y is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 3*k**3 + 28980*k**2 + 69870636*k - 560821344 = 0?\nAnswer: -4834, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3093282 divided by 5\nAnswer: -3093282\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**3 + 27570*z**2 + 247968*z = 0.\nAnswer: -13776, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 284180397 divided by 2137\nAnswer: 132981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - i - 108 = 2*i, -3*x - 5*i + 143 = 0. Calculate the smallest common multiple of 10 and x.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from ccmmccmmmcmcm.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2555700859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2 + 4*c + 2. Suppose 0*r + 8008 = 2*r - 4*g, -r + 3999 = -g. Let d(s) = -r*s - 2*s**2 + 3994*s. Determine d(i(n)).\nAnswer: -32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*h*i**3 - 207*h + 391084*i**3 + 10*i + 645 wrt i?\nAnswer: -126*h*i + 2346504*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 57129098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/20*(-3 + -1). Suppose 0 = 2*r + t*r - 28. Let q = -21 + 32. What is the remainder when q is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 3 + -3 - (13 - 10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1658804010?\nAnswer: 2, 3, 5, 55293467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c = 26*c + 105. Let n(a) = 37*a**2 - 3*a - 21. What is the units digit of n(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19168615 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1092*s = 1091*s. Which is the biggest value? (a) -3 (b) -0.1 (c) -293 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nqn when three letters picked without replacement from {n: 3, q: 5}?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5894659586035 + -7.\nAnswer: 5894659586028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.5 - -3. Let i = -128 + 638\/5. Which is the smallest value? (a) i (b) -0.06 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/25 - -29\/50. Let p = 60 + -60.44. Let l = p + 0.04. Which is the nearest to q? (a) -5 (b) l (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9272426.\nAnswer: 2, 1153, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + 0. What is the first derivative of 5*f + b - 2*f - 10 wrt f?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*g + 32*g = 8. Suppose 0 = 3*f - 5*t + 17, -t + 6 = 2*f - 0*t. Let n(q) = 6*q**3 + 0*q**3 + 0*q**3 - f. What is n(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of s**3\/6 - 7*s**2\/2 + 2*s. Let l be -3 + (-3)\/(3\/(-10)). Let f be q(l). Which is the biggest value? (a) f (b) 1\/2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/5 - 62\/(-10). Let o be -1 + v + 6\/(-3). Suppose -5*w = -3*u + 29, -w + 54 = 7*u - o*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(10*91\/1430)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 30\/(-45) - (1748\/(-3) + -3). Calculate the greatest common divisor of 45 and j.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77 + 2*h + 62 + 0*h.\nAnswer: 2*h - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.12 and -637.\nAnswer: -76.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2214944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 15 + 21 = 0. Suppose -2*g = 2*g - 16. Which is bigger: g or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 229363 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1237, 2472, 3707, 4942?\nAnswer: 6177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3184103\/531067859 - 1\/318577. Let d = t + -148143\/36674. What is the common denominator of d and (-2)\/6 + (-38)\/36?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 15*h**2 - 9*h. Let j(k) = 15*k**2 - 8*k. Let p(v) = 5*b(v) - 4*j(v). What is the second derivative of p(i) wrt i?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -18*n + 14*n + 32, 5*n - 21 = -l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 16*m - 17*m, -43*m + 231 + 154 = l - 203 + 117 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 16. Let d = -4 + 2. Which is the second smallest value? (a) v (b) d (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1778411 and 4?\nAnswer: -7113644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.10376 less than or equal to -45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 483 divide 6231678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pptptttppuql. Give prob of sequence tp.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31160879*z**4 - 2204787*z**2.\nAnswer: 747861096*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z + 25. Suppose 2*k = d - 20, 4*k - 2*k + 36 = 5*d. Let r be s(k). What is the units digit of (-3)\/(r\/24*-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144986584?\nAnswer: 2, 18123323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 2*i + 0 = 33, 7*l - 5*i = -49 - 24 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 684 - 682.076. Let o = 0.076 + s. Which is the nearest to o? (a) -0.3 (b) -5\/4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 35 + -30 + 24 - 30.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 2*u + u)*(u + u + 0*u)*(1 + 1 + 5)*(-5*u**2 + 48*u**2 + 58*u**2).\nAnswer: -1414*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 36884.02487 to the nearest integer.\nAnswer: 36884","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17300038?\nAnswer: 2, 7, 176531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert b3b9c (base 14) to base 15.\nAnswer: 884d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by -13001627?\nAnswer: 22\/13001627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33536\/26278473 - 2\/18211. Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -71*v**3*w - 191*v**2*w**3 + 2*v**2 + 8325*v*w**3 + v*w wrt v?\nAnswer: -426*v*w - 382*w**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6063926 and 356?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -29574, -58955, -88320, -117669, -147002?\n\"Answer: 8*r**2 - 29405*r - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 21, -0.3 in decreasing order.\nAnswer: 21, 1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -212 + 226. Let y = f + -6. What is the third smallest value in -4, -1\/4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36835009?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqaa when four letters picked without replacement from {q: 2, a: 4, s: 2, t: 1}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/23 (b) 223 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 + 15. Let w = 58 - k. Suppose -25 = -2*c + w. Calculate the lowest common multiple of c and 3.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 7*n**3 - 8*n**2 - n + 9. Let o(x) = -x**3 - 2*x**2. Give f(g) + 4*o(g).\nAnswer: 3*g**3 - 16*g**2 - g + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 722 * -722\nAnswer: -521284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -152118, -608465, -1369044, -2433855, -3802898?\n\"Answer: -152116*m**2 + m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 100*g**3 + 96*g**3 + 9 - 9.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 47*m - 46. Let b be n(1). Sort 0, 4, b in descending order.\nAnswer: 4, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 16*w**2 - 29*w - 1. Calculate v(-14).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - b = -25. Solve -5 + 10 = -b*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (-26)\/(-22) - 114\/(-209). Which is the nearest to -0.03? (a) 1\/3 (b) 0.4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 154 - 137. Let h(p) = 4*p - 7 - 31*p**2 + 13*p**2 + g*p**2. What is h(5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w - 81*w**2 + 83*w**2 + 8 - 8 + 4*w**3 to the form x*w**2 + l*w + q + g*w**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9.1, 9, 0.2, -314, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 113*c**3 - 74205*c + 74205*c in the form r*c**3 + d*c + a*c**2 + h and give r.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3030\/14467 + 22\/851. Factor -t + 2\/17*i**3 - 6\/17*i + 0*i**2.\nAnswer: 2*(i - 2)*(i + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 133 = -u - 237, 5*f = 4*u - 951. Let z = -44 - f. List the prime factors of z.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 83*b - 91*b + 175*b)*(-21*b - 21*b - 48*b) as p*b + v*b**2 + j and give p.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/2 (b) 10\/3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -9295 and -213784\/23 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00054928704 rounded to 6 decimal places?\nAnswer: 0.000549","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/7, 5, 3\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 4, 0*d = 4*t - 3*d - 42. Suppose 9 + t = -9*a. Which is greater: a or -10\/17?\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3843 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 1:01 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-40) - (-33)\/(-4). Let u be -10*(r\/(-5) + -2). Suppose 5*p - 10 - 3 = -u*h, 0 = -5*p + h + 3. Calculate the greatest common divisor of 1 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19525377?\nAnswer: 3, 137, 47507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: -32 + 33 + -132 + 89\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/((4\/(-30)*-6)\/(43\/((-14190)\/(-1056))))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-192)\/(-168)*2\/(-24). Let j = -0.3464 + -0.6536. What is the third biggest value in j, b, 4\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 k when four letters picked without replacement from {k: 2, z: 6, g: 3, t: 5, f: 1}?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21*r*w*x - r*x**2 + 1942*r - 4*w*x**2 - 1171*w + 2 wrt w.\nAnswer: -21*r*x - 4*x**2 - 1171","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -515 divided by 5.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + 2*d - 3*d)*(-1 - 1 + 0)*(4 - 3 + 1)*(-32*d + 125*d + 438*d) to the form y*d + q + n*d**2 and give n.\nAnswer: 4248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*i**3 + 63*i**2 + 10 + 0*i**4 - 10 - 5*i**4 + 2*i**4 = 0. What is i?\nAnswer: -21, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 34*t**2 + 65*t - 24. Calculate the least common multiple of p(32) and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (4 + -6 + 12 - 7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -153 (b) -0.2 (c) 166\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 4*q**2 - 31548488*q + 62206693442884 = 0.\nAnswer: 3943561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) 1 (c) -0.1 (d) 120\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 3*o**2 + 4*o + 6. Let b(m) = -4*m**2 - m - 1. Let u(v) = v - 6. Let x be u(5). Let w be b(x). What is the units digit of r(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/120*5*6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y - 3. Let p be b(-4). Let a = -5 + p. Suppose 5*w + 3*d = 240, 3*d - 107 = -2*w + a*d. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11437527 (base 9) to base 13.\nAnswer: -1202c05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 5) to base 2\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80*(-30)\/4200*(-294)\/(-4).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + 1*sqrt(4032) + sqrt(4032) + sqrt(4032) + sqrt(28))\/(-1*sqrt(256)).\nAnswer: -19*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13379.\nAnswer: 17, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 14. What is the remainder when 40 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4)*(2*p - 2*p - p) + (-2*p + 6*p - 3*p)*(6 - 3 + 0) + 51305*p + 1467 - 426 - 51306*p.\nAnswer: 3*p + 1041","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 11*k + 12*k - 194, -r - 2*k = -52. Let m = 13077 - 549175\/42. Calculate the common denominator of m and 0 - ((-1710)\/r)\/(-3).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78 + 20*b**2 + 8*b**2 - 31*b**2.\nAnswer: -3*b**2 - 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (0 + 0 + -1)*-47 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -15*7\/(-21) + 0\/(-1). Suppose 187 = n - 4*l + 3*l, -939 = -h*n + l. Let i = 285 - n. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qc when two letters picked without replacement from {q: 1, c: 8, t: 10}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 81270, 72335, 48078, 837, -77050?\n\"Answer: -1277*v**3 + v**2 + v + 82545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 + -44. Let d = -7 - k. Suppose -5*h - 3*l = -4, -5*h + d + 2 = -l. Calculate the least common multiple of h and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 25*b**2 + 8*b - 1. Is t(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2052 greater than or equal to 2054?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 7555.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4454 or 0.021?\nAnswer: -4454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 4*h + 161 = 0, -1169 + 1309 = 4*m + 4*h for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*u = 5*z - 24*u - 31727, z - 2*u - 6340 = 0. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -128*c**7\/21 + c**6\/30 - c**4\/12 + 158*c**3\/3 + 233*c - 3. What is the third derivative of z(u) wrt u?\nAnswer: -15360*u**2 + 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 3*z. Suppose z = -4*g + g + 36. Let r be ((-8)\/g)\/(2 - 0). Put 2, r, 2\/7 in increasing order.\nAnswer: r, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 3*v + 3*p, -p = 46*v - 61*v + 305 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1032 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**5*j)\/(j**2\/j)*j**3*j*j*j\/((j\/j**0)\/j))\/((j*j*j**(-2\/27)*((j\/j**(-3\/4))\/j)\/j*j)\/((j*j\/j**(-3\/11))\/j**(2\/11))) assuming j is positive.\nAnswer: j**(12373\/1188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-282)\/(-188)*(3 - -3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43149, -43137, -43101, -43029, -42909, -42729, -42477, -42141?\nAnswer: -41709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*q**2 + 5*q**2 + 7*q**2 - 5*q**2 + 2*q**2 + q**2 + (0*q**2 + 2*q**2 - 4*q**2)*(0 - 4 + 5) - 2644*q**2 - 2 + 0*q + 2636*q**2 - q.\nAnswer: 9*q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30030 by -6.\nAnswer: 5005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of n**8\/560 - 13*n**4\/24 + 11*n**3\/3 + 19*n. Let i(u) be the second derivative of x(u). Differentiate i(h) with respect to h.\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 638*q - 643*q - 33 = b, -2*q - 24 = 4*b for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 3744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 16*a - 32. Is s(22) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 169 (b) -1 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -15 + -2 - 21\/(-4).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v + 48 = -15*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (4 - (63 + (5 - 24)))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 16 - 23 - 87*y**2.\nAnswer: -87*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1030.183947940876 - 3.\nAnswer: -1033.183947940876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 0*x + 0*x)*(2*x**2 + 4*x**2 + 3*x**2)*(-x**2 - 2*x + 2*x).\nAnswer: 9*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3 = 0, 5*q + 0*q = -4*c + 21. Let n(o) = -o**2 + 12*o - 33. What is n(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/11 - 598*r\/11 + 89401\/11.\nAnswer: (r - 299)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 18351.2, 2154, -5\/4?\nAnswer: 18351.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mddmtdmmtmdmmmdmd. Give prob of picking 1 m and 1 d.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 1 + (3 + 0 - 4)*(3 + 0 - 1) - 5 + 0 + 2)*(0*b - 2*b + 3*b) in the form d + w*b and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 157592161?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 32 - 6031626?\nAnswer: -6031564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 - -29. What is the common denominator of 32\/9 and 183\/9*a\/(-5)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -69\/2. Find the common denominator of 97\/768 and g.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 3*h**3 - h**2 + 15 + 7*h in the form k*h + f*h**2 + x*h**3 + v and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 106462 to the power of 1\/2, to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10\/1014*(-3006)\/2505*13\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 7) to base 6\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 101, 116, 107, 62?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2)*(89*z**3 - 198*z**3 + 112*z**3 - 29*z**2) in the form k*z**2 + j*z + c + h*z**3 and give k.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 - 22.9. Let n = u + -10. Which is the closest to 1\/3? (a) n (b) 5 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/2 - (-4230)\/(-630).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 1. Let y be 19\/4 - (-2)\/8. Let k be (0 + 1)\/((-18)\/90). Sort y, k, p in increasing order.\nAnswer: k, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.87 - -0.13. Let w = 3.055 + -0.055. Which is the third biggest value? (a) x (b) -1\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 48 = 13*j. Suppose -j*a - 7 = -15. Solve 2*d - 14 = 2*k, 3*k + 2*d - 9 = a*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3612592)\/(-33042))\/(4\/(-18)*-6)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z - 6. Let n be x(5). Let i be n + (2 - 2 - 5). Find the common denominator of 53\/3 and (-1 + i\/(-4))*-37.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9\/14 + -1007\/42. Let v be 3*(-4)\/(-15)*10\/4. Calculate the common denominator of (v - 1 - 3)*127\/60 and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -1c7c1?\nAnswer: -1c7c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -1)\/((-8)\/16). Let n(m) = 8 - 8 - m**2 - 13*m**t. Let u(k) = -16*k + 43*k - 15*k - 13*k. Give n(u(b)).\nAnswer: -14*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -q**4\/4 + 3*q**3 + 21*q**2\/2 + 11*q - 1076. Factor k(x).\nAnswer: -(x - 11)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 107, 23, 156 in decreasing order.\nAnswer: 156, 107, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21693.\nAnswer: 3, 7, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -68697646 divided by -68697646\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -165, -825, -1933, -3495, -5517, -8005, -10965?\nAnswer: -14403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3 = -2. Let c(l) = -3*l**3 - l**2. Let v be c(t). Suppose v*d = -2*a - 0*d + 90, 229 = 5*a + d. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 b when four letters picked without replacement from bbbwwbnbbww?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 9\/1104*(-91776)\/(-8604)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68db75 (base 15) to base 16.\nAnswer: 4c695e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4522, 4683, 4950, 5323, 5802?\n\"Answer: 53*a**2 + 2*a + 4467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 3*q. Let n be z(2). Suppose n*g + 11 = -23. Let d = g - -34. List the prime factors of d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*d - 5. Let b(c) = -c**2 - 7*c + 3. Let y be b(-7). Solve -6*k + k - 10 = -2*n, -d*n = -3*k + y for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*g - 34 = 0. Let f(c) = -10*c**2 - 3*c - 7. Let x(r) = -29*r**2 - 8*r - 20. Let m(q) = g*f(q) - 6*x(q). What is the tens digit of m(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 122 + 2*n + 9*n + 18*n - 21*n + 13*n. What is the tens digit of f(16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = 20*l - 236 + 2 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 80 + -88.7. Let j = 8.69708 + i. Round j to 4 decimal places.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 3236 + 47283. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + p = 4*p - 182, 0 = -2*r + 2*p + 182. Let s = 141 + -79. Let d = r - s. Is 11 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 404767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -82191 (base 10) in base 11?\nAnswer: -5682a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/11214 and 149\/24?\nAnswer: 44856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -35 - 37. Solve g + 2*p = 4*g + 7, -g + 5*p - v = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -249975*g - 3630. Let i(y) = -2475*y - 36. Let p(h) = 1210*i(h) - 12*s(h). Let n(m) = -3*m**2. What is p(n(x))?\nAnswer: -14850*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -l + 6, 4*p - 871 + 889 = 3*l. Solve p = 912*s - 920*s + 32 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -4*s, -218*v + 112*v + 104*v - 8 = s for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 887 is divided by 273?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5)\/(-5) + 1846 + -3 - -8?\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**2 + j**2 + j**2 + (26*j**2 + 65*j**2 + 33*j**2)*(2 - 2 - 1) + j - j + 2*j**2 + 3 - 3 + j**2.\nAnswer: -122*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -1. Let z(g) = 201*g + 268. Give -268*u(q) - z(q).\nAnswer: -201*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 2*l + 42 = 0. Let h be l\/(-12) + 1\/(-4). Let w = h + 7. Solve 0 = -w*c - 3 + 23 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - (13 - (37 + 19))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 6. Let a be (-2)\/w + 42\/5. Let s = -5 + a. Solve i + 6 = 2*u, -s = -2*i + 6*i - u for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7, -167, -5, -1 in ascending order.\nAnswer: -167, -7, -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -0.59, 1\/4, -1\/103 in ascending order.\nAnswer: -15, -0.59, -1\/103, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 13660 = 2*f + 13675, 2*b - 18 = 2*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 501400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 4*n + 38, -24*n + 19*n + 79 = -3*m. Sort -4, m, -1, 2\/3.\nAnswer: m, -4, -1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, n: 2}. What is prob of picking 2 n and 1 l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**2 - 22*k**2 - 2*k**3 - 8*k**2 - 2*k**3.\nAnswer: -4*k**3 - 28*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 221?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -63938 - -98797. What are the prime factors of o?\nAnswer: 11, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/10 + (-72)\/(-5). Let i be -2*(-3)\/j*-1. Which is the nearest to 1\/2? (a) i (b) 2\/5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j*j\/(j**(-23)*j))\/j))\/(j\/(j*j**(-8))))\/(j**1*j**(-8\/7)\/j) assuming j is positive.\nAnswer: j**(-202\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of p**2\/2 + 1. Let a(v) = -3*v + 2. Let x(s) = -2*s**3 + 11*s**2 - 2*s - 19. Let b be x(5). Give b*w(c) - a(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -486, -481, -474, -465?\n\"Answer: n**2 + 2*n - 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a meter in millimeters?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 319, 728, 1137, 1546, 1955, 2364?\n\"Answer: 409*u - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 3*h - 25 = 0. What is the third biggest value in 0.2, -1\/7, h?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, g: 1, r: 5, j: 1, u: 2}. What is prob of sequence ju?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 2 (c) -0.019 (d) 0.2 (e) 5\/4 (f) -0.71 (g) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 7 - 25 = -5*s, -13 = -s + 2*n. Which is the smallest value? (a) s (b) -0.5 (c) 2\/9 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 1:22 AM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 46387650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1305*g*p**2 + p**2 + 90*p wrt g.\nAnswer: 1305*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3403 - -142787\/42. What is the common denominator of (-2025)\/630 - 4\/6*30\/4 and h?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -8*t**2 - 4 + 4 + 0*t**2. Let q(z) be the third derivative of -z**5\/60 - 11*z**2. Calculate d(q(y)).\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 - 21 = a - 2*j, -3*j - 9 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -717626, -717440, -717254, -717068?\nAnswer: -716882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*y - 22, -y = 3*y - 4*p + 48. Let h(z) = -z - 10. Let n be h(y). Factor 0*s + 2*s**4 + 10\/3*s**3 + n + 4\/3*s**2.\nAnswer: 2*s**2*(s + 1)*(3*s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 + 8*f**3 - 7 + (-5 + 2 + 4)*(-3*f + 3*f - 2*f**3) - 5062 + 14*f**3 + 7*f**2 + 5062.\nAnswer: 20*f**3 + 7*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.0496, 3, -0.4, 6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100100001101101000000100 (base 2) to base 15.\nAnswer: c77b16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-20)\/(-2) + (-12676)\/604 + 18?\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 132*y**2 - 42*y + 5210. Calculate v(132).\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21609351 or -21609357?\nAnswer: -21609351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/11 or -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1790252 is divided by 98.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.0107851, 2\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*v**4 + 9*v**3 + 2086*v**2 - 965*v - 484 wrt v?\nAnswer: -144*v**2 + 54*v + 4172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 - n**2 - n**2 + 3*n**2. Let g(t) = t - 1. Let d(y) = 2*y**2 - 4*y + 4. Let i(h) = d(h) + 4*g(h). Calculate j(i(m)).\nAnswer: 12*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33? (a) 0.3 (b) 5\/3 (c) 3\/2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-o - 2*o - 2*o)*(0 + o + 0) - o**2 - 3*o**2 + 2*o**2)*(0*o + 2 + o + o) to z*o**2 + m + x*o + u*o**3 and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 27d0 + -ad5?\nAnswer: 1cfb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 14. Is 10 at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/((-96)\/40) + 16\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 1 = -5. Let g(l) = 6*l**3 - 3*l**2 + 2*l. Let w(p) = -7*p**3 + 3*p**2 - 3*p. Let q(y) = n*w(y) - 3*g(y). Find the third derivative of q(x) wrt x.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-280)*(-8)\/2\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413 is divided by 31?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 6 = 4*r + 10, -4*w + 12 = -3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 19440.\nAnswer: 136080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 10733, 44, -9, 0 in decreasing order.\nAnswer: 10733, 44, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 3*c - 39, -5*i - 2*c = -i - 82. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1788 + 14*x**3 - 1788)*(-5*x**2 - 2*x**2 - 106*x**2).\nAnswer: -1582*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1500 + -1499. Which is the nearest to 2\/13? (a) 18 (b) v (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 336\/49 + -6 - (-15459)\/21. Solve 7*d + 779 - k = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-4) - (189\/28 - 8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 83*m**5 - 357*m**3 + 397604*m**2 - 3*m wrt m.\nAnswer: 4980*m**2 - 2142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -5*s**3 - 24*s**2 - s - 3. Let j be m(-5). Suppose y - 29 = -j. Solve 9*u - 21 = y*z + 4*u, 5*u = -3*z + 31 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - 4) + (-6)\/(-2). Let n = -12 - q. Let m(s) = s**3 + 9*s**2 - 3*s - 13. List the prime factors of m(n).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/2*l**3 + 1\/2*l**4 + 0 + 0*l**2 + 0*l = 0. What is l?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/18? (a) -1\/2 (b) -0.1 (c) -0.3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/4*(8 - 416\/56). Let s(f) be the second derivative of -f**4\/12 - f**3\/6 - f**2\/2 - f. Give s(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 2*g + 2. Let l(c) = -4*c**2 - 4844*c - 2937892. Let i(q) = -2*d(q) - l(q). Suppose i(r) = 0. Calculate r.\nAnswer: -1212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 4235*g + 149460. What is f(35)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from caeraeerecaaeccece.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 482\/9 - 54. Let a be 3*(-19)\/(14877\/(-18)). What is the biggest value in -2, t, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -h**5\/30 - 2*h**2 - 610. Let z(l) = -1131*l. Give c(z(j)).\nAnswer: -2558322*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 7:42 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 154468832*y + 46975. Let g(x) = -13153*x - 4. Calculate -46975*g(s) - 4*r(s).\nAnswer: -13153*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 2:54 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4 + sqrt(200) + sqrt(200) + -3 + sqrt(200) + (sqrt(200) + 4)**2 + -1*(-1 + sqrt(200))**2).\nAnswer: 40 + 650*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -0.06 (c) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2515 and 11480?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 14*n**2 - 17*n + 26. Calculate t(15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -309 + 311. Solve o*g = -2*g - 8, 0 = 2*j + 2*g + 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eexxxxbeb. What is prob of picking 1 x and 3 e?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00074321 to five decimal places.\nAnswer: 0.00074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1988 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (10 - (12 + -5 + 4))) + -8?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 + -25. Find r such that 3\/2*r**2 - 3\/2*r**3 + 0 - 3\/2*r**j + 3\/2*r = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9155635 rounded to three dps?\nAnswer: -1.916","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f. Let l be (-1 - -1)\/1 + 1. Let r(v) = v + 3. Let q(p) = l*r(p) + 3*j(p). Calculate the lowest common multiple of q(-4) and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.855032 take away -0.16?\nAnswer: -11.695032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 - 59*w - 41. Let x be r(45). Let v = -806 + x. What is the smallest common multiple of 20 and v?\nAnswer: 2740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 1:34 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 10*f**2 + 14*f - 12. Let s(a) = -a**2 - 3*a - 1. Let k(w) = 2*w**2 + 7*w + 3. Let n(b) = 2*k(b) + 5*s(b). Calculate j(z) + 12*n(z).\nAnswer: -2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*u**3 + 4834*u**2 - 5056*u**2 - 8*u**3 wrt u?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 16 = -12. Suppose 148 = -p*a + 434. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -299.7.\nAnswer: -59.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2233, -2508, -2971, -3622, -4461?\n\"Answer: -94*u**2 + 7*u - 2146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - 7)\/2*-2. Suppose m*v - 5 = 11. Let y(a) = a**3 - 5*a**2 + 6*a - 5. What is the units digit of y(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58441 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00052 to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -5951*z**2 + 5*z + 5. Let d be b(-1). Let x = -3020 - d. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.083*5.\nAnswer: -0.415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 4*b - 3, v - 5*b + 4 = -0*v. Let l be v\/1 + 80 + 6. Let p = l + -26. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 208 = -216. Suppose -4*n + 3*r = 580, 0 = -a*n - 4*r + 8*r - 576. Which is greater: n or -149?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4105212mg to micrograms.\nAnswer: 410.5212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*r**2 + 732364660 - 732364660.\nAnswer: 42*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2120 and 78.\nAnswer: 82680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of g**5\/10 - g**4\/3 + g**3\/6 + 2*g**2 + 65*g. Let h be r(3). Solve 0 = -0*j - j + 5*n + 30, h = j - 4*n for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + (6 - -35) + -42.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in -0.04, -2, 4, -2\/9?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/899646 and 127\/54.\nAnswer: 8096814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 2*r + 1414, 3*f - 11*r = -8*r + 1434. What are the prime factors of f?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + v = 12, 3*v - 2*v - 4 = 0. Differentiate -4 - t*f**3 + 0*f**3 + 3 with respect to f.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -322\/5*k + 64 + 2\/5*k**2 = 0. What is k?\nAnswer: 1, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161005 is divided by 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 8:18 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**3 + 1003016*p - 501526*p - 501490*p + p**3 - 4*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven fifths of a litre in millilitres?\nAnswer: 2200","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + o - 2. Suppose -2*t = -0*t + p - o, -3*t + 2*p = -10. Calculate the remainder when 0 - (-23 + (t - 2)) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*l - 530 + 103 + 227 = 0 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 174, -209, 3 in descending order.\nAnswer: 174, 3, -10, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 16780000 rounded to the nearest one million?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v = -18*v + 45. Let d = v - 8. Calculate the remainder when 6\/(-21) - (-142)\/7 is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**2 - 45 + 4*y + 45 to the form z + x*y**2 + h*y and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 65? (a) 2\/5 (b) -0.5 (c) -1 (d) 65.7 (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 2, -4*a + 3*m + 48 + 53 = 0. Let w be a\/(1 - 0) - 1. Suppose 4*j + 18 = -3*n, -5*n - 4*j = j + w. Which is smaller: n or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31322111 (base 5) in base 9?\nAnswer: 436805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -3*r - 0*r + 8, 0 = -r + 4*b - 16. Suppose r*i + 32 = 4*i. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u. Let b(m) = -123*m - 10 + 0 + 124*m. Determine v(b(s)).\nAnswer: -s + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 4*m. Let w be v(-3). Let b be 2\/(-7)*166\/w. Let i = 120\/7 - b. What is the third smallest value in i, 0.2, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1630*b**3 + 48*b**2 + 2?\nAnswer: 9780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of 32*g**7\/105 + 67*g**3\/2 + 67*g**2 - 1. Find the first derivative of n(v) wrt v.\nAnswer: 256*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 759194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2560025759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 + -20. Find the third derivative of 10*r**5 + 7*r**i + r**6 - 4*r**6 - 52*r**2 wrt r.\nAnswer: 480*r**3 + 600*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/9? (a) -5 (b) 31 (c) -1 (d) 5\/44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4 + 2)*(0 + 12\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15525 and 3565?\nAnswer: 481275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5521308 centuries in decades?\nAnswer: 5.521308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j + 0*j - 763 + 748 - j + 0*j + 3*j + (-1 + 3 - 4)*(-4*j + 2*j + 0*j) - 3 + 3 + 3*j as p + k*j and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15\/25*(-7075350)\/(-81)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/51*(-3)\/18*-28?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -4 (c) -1\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 5*u - 23. Suppose -18*j = -u*j. Let w be -1 + (154 - -1) + j. Calculate the highest common divisor of w and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6 + -0.4. Let u be (10\/(-12))\/((-84)\/504). What is the nearest to -2\/7 in u, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 121592778 to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of w**6\/120 - w**5\/5 - w**4\/2 + 2*w**3 - w**2. What are the prime factors of u(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111001000 (base 2) to base 9.\nAnswer: -556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14 - 1 - (-183 - -171)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -15*u**3 - 3*u**2 - 3*u - 1. Let f = -5 + 5. Suppose 3*r + 3 + 3 = f. Is m(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 31*g + 27. Let p(w) = 19*w + 26. Give -6*p(f) + 5*x(f).\nAnswer: 41*f - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7870.\nAnswer: 2, 5, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4282 is divided by 4239.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/15)\/(27\/30). Suppose 0*x - 2\/3*x**2 + k = 0. Calculate x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 4:49 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*h + 51, 4*i - 79*h - 26 = -81*h. Solve 3*x = i - 21 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3641780.942711 and -0.1?\nAnswer: 3641781.042711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -85 + 89. What is the derivative of 0 - 6*t**j - t**4 - 1 + 0 wrt t?\nAnswer: -28*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19 or -58\/3?\nAnswer: -58\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1362.3 - 2.\nAnswer: -1364.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -35, -81, -127, -173?\n\"Answer: -46*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/(-2*sqrt(176) - sqrt(176)) + (-2*(sqrt(20)*2 + sqrt(20)) - 2*sqrt(20)*3))**2.\nAnswer: 105125\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3 = 3. Let h(v) = 44*v**2 - 18*v**2 - 28*v**x. Let l(g) be the third derivative of g**4\/8 - 2*g**2. Calculate h(l(d)).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.191 - 5.091. Which is the closest to i? (a) 436 (b) -4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of 7*a**4\/24 + 8*a**2 - 2. Let d(j) = -91*j. Calculate -6*d(l) - 77*s(l).\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 = m - 11*m for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2630\/13 + -16625\/78. What is the common denominator of 1\/78 and k?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -553773, -1107181, -1660227, -2212911, -2765233, -3317193?\n\"Answer: 181*a**2 - 553951*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, 0.5, 3, -326, -2\/7, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20163 + 4?\nAnswer: -20157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-28)\/(-4))\/(-28) + 1\/4. Solve -m + 5*h = 4*m + 40, 4*m - 2*h + 26 = y for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.59 in -4, -1984, 5, -1\/3, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -77*q - 4. Let u(a) = 228*a + 13. Determine -7*r(k) - 2*u(k).\nAnswer: 83*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 94*o + 744. Give p(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34.3817 - 1.6183. Which is the nearest to 2? (a) -4 (b) -3 (c) -2\/3 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + -4 + sqrt(13) + -2 + sqrt(13) + (0 + sqrt(13))*-2.\nAnswer: -6 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104065.\nAnswer: 5, 13, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -236892, -236918, -236944?\n\"Answer: -26*z - 236866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -1034*g. Let m(f) = f**2. What is u(m(s))?\nAnswer: -1034*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -7*q - 5*d - 15, 2*d = 2*q + 18. Let t be (q*(-1)\/8)\/((-30)\/24). Which is the closest to t? (a) 5 (b) -4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -55*j - 6. Let d be v(-3). Suppose -2*t = y - 87, 5*y + 3*t - d = 304. Which is bigger: -2\/3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 12:06 AM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + 7 + 4*x - 3*x - 3*x + 16.\nAnswer: -3*x + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4246642, -4246650, -4246658, -4246666, -4246674, -4246682?\n\"Answer: -8*p - 4246634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (135\/(-20))\/(-9)*(-12)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40717985519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 28 (b) 4 (c) 4\/9 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 19*t - 33. Let f be i(-7). What is the highest common factor of 3 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/5 + 19274*g**2\/5 - 19284*g.\nAnswer: 2*g*(g - 5)*(g + 9642)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 423*c**2 - 47114*c**3 - c - 428*c**2 + 46982*c**3 + 2*c**2 - 2*c**3 - 2*c**2 + (5*c**2 - 2*c**2 - 4*c**2)*(-1 + 1 + c).\nAnswer: -135*c**3 - 5*c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.49 and -28342652373.\nAnswer: -28342652376.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -5195.\nAnswer: -5195.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = -5*f + 89. Suppose f*z = -6*g + 2*g - 19400, 3*z + g = -29100. What is z rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 37, 40, 41, 40, 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44096726 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*d + 4 - 3*d**2 - 4 + 4*d wrt d?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (39\/(-10))\/((-15)\/225*-9)*-2\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -5. Suppose 2*z = 10, -5*h + o*z = -30 - 55. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -252 - -623. Let z = d - 277. List the prime factors of z.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 9 (c) -1\/4 (d) 0.2 (e) -0.3 (f) 1\/14\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + h - 1. Let i(c) = 6 + 46*c - 2*c**2 + 8*c**2 - 25*c - 24*c. Calculate i(y) + 4*k(y).\nAnswer: 2*y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21703*c*m**3 - c*m**2 + 24617*c*m + 67*c + 4*m**3 + 102*m**2 + 5*m wrt m?\nAnswer: 130218*c*m - 2*c + 24*m + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -14*m**3 + 5*m**2 - 2*m - 3. Let p(x) be the third derivative of -x**5\/60 + x**4\/24 + x**3\/6 - 90*x**2 + 8. Determine l(a) + 3*p(a).\nAnswer: -14*a**3 + 2*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 5:54 AM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*w**2 - 5*w - 5*w + 4 - 3*w - 9*w**3.\nAnswer: -9*w**3 - 123*w**2 - 13*w + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/4)\/(9\/12). Let z be -5*2\/(6\/(-3)). Solve i*j = -3*j - z for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + v + 25 = 0. Let x be 4 - 4\/(v - 1). Solve 4*f = x*f + 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 5*p + 22 = -n, 0 = -5*n + p + 10. Solve 0*g = -n*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409702 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*w - 13203 = -398650. What is the thousands digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ngg when three letters picked without replacement from nnnnnnnnnnnngngnnnnn?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a millennium?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50.1 + 396.9. Let r = 4604399 + -4604845.9787. Let n = r + l. What is n rounded to three decimal places?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 496.47 - 499. Let j = -0.84 - y. Round j to one decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 620 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5655 by 65.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 - -916.\nAnswer: 946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8154648 and 66?\nAnswer: 89701128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 198493 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by -278\nAnswer: 19\/278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 17*x - 16. What is the remainder when 393 is divided by i(20)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1040251997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15*(4\/(-12) + 1). Suppose 12*n - i*n - 26 = 0. Let l(y) = -19*y - 4. Let h be l(-5). What is the highest common factor of n and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of f**5\/20 + f**4\/12 - 7*f**3\/6 - 2*f**2. Let s(o) = 3 + 0 - o**2 - o + 0*o**2. Determine 7*s(z) + 3*x(z).\nAnswer: 2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5*u + 17. Calculate h(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/(-26))\/((-13)\/(-169)). Let r = 11 + -6. Suppose -r*v + 165 = y*v. Calculate the remainder when v is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74406565517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*a + 21 - 66 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m + 0*m - m + (2 + 3 - 4)*(2*m - 2 + 2) + 60 - 60 - 2*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -577 = 3*p + 5*t + 9*t, 4*t = 5*p - 8*p - 53 - 114 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 2658432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-18\/11)\/x*x)\/x)**(-30)\/(x**(-2\/7)\/(x\/x**(2\/25))) assuming x is positive.\nAnswer: x**(154571\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58)\/1595*-242*5\/(-2)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41 + 37. Let m be -7 - (-1 - t - 2). Is 44\/m*2*-17 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -5*o - 768, -3*d + 4*o + 157 = -608. List the prime factors of d.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -398 - -787. Let h = b - 263. Let r(s) = -5*s + 178. Let f be r(32). Calculate the highest common factor of f and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -121345?\nAnswer: -121354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 621890644.\nAnswer: 2, 155472661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 89983184?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*w - 1854 + 1854 as i + h*w and give h.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 4 + 1. Suppose -52 = -u*l + 38. Solve 5*z + l + 2 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 + 30.9. Let k = -349\/20 + 69\/4. Let m = 1.97 - -0.03. Which is the closest to 0? (a) d (b) m (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29354000 to the nearest one million.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddxdimdmccxmccccdmm. What is prob of sequence xxm?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 354 by -160.\nAnswer: -177\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 18*a**2 - 38*a - 32. Let p be h(20). Suppose p*y + 16 = 9*y + 3*c, -15 = 5*c. What is the remainder when 85 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252.81 rounded to zero dps?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(162) - (sqrt(2) - (sqrt(2) + sqrt(20)\/sqrt(10) + 3))**2.\nAnswer: -11 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23665\/6 + -3947. Which is the biggest value? (a) 0 (b) t (c) 1\/11 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39656.97 - 39657. Let o = 5 + -3. What is the second smallest value in o, b, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(300)*-4 + 4)**2*1.\nAnswer: -320*sqrt(3) + 4820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 5*z - 2 = 0. Let s be (3 + 11\/(-4))*20. Let r = s + z. Calculate the greatest common divisor of 18 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + c = -c - 12, -4*i + 7 = -5*c. Let r be i - (0 - (2 - -3)). What is the derivative of -1 + 1 + 3 - 3*q**r + q**3 wrt q?\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 940 by 6.\nAnswer: 470\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 91\/(-10 + 3) + 462 + 4. Calculate the greatest common divisor of h and 2567.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g. Let t(p) = 41972*p**2. Determine u(t(j)).\nAnswer: -167888*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 0*d**2 - 6*d**2)*(5*d**2 - 6*d**2 + 2*d**2 + (-d - 2 + 2)*(2*d - 1 + 1)).\nAnswer: 7*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 46626677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 10*w + 4. Let p(r) = r**2 + 13930*r + 16. What is p(d(a))?\nAnswer: 100*a**2 + 139380*a + 55752","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -709 - -442. Let k = 267.00000425 + q. Round k to seven decimal places.\nAnswer: 0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*r - 22*r = 1. Suppose -6*v + r = -161. Is v a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000062294 rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.05 + 0.85. Let m = 0.5 - q. Let l be (2\/(-3))\/(14\/6). Which is the third smallest value? (a) l (b) 4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 99242630?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 5. Let r be u(-3). Which is the smallest value? (a) 0.3 (b) r (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 245270, 245021, 244772, 244523, 244274?\n\"Answer: -249*l + 245519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.088 + 0.055. Let q = -0.03313 - h. What is q rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 26*o**2 + 17*o + 1055. Calculate j(-25).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -288795*z**2 - 3897*z + 577582*z**2 - 4329*z**4 - 288787*z**2 wrt z?\nAnswer: -51948*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 - 213*k + 545. Calculate n(103).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4463 or 4465?\nAnswer: 4463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 11*i - 27. What is n(8)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 5*d + 6. Suppose -2 = -d*t - 14. Let f be 2\/3*(-9)\/t. Which is smaller: 7 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152 = -101957*m + 101949*m for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-6*(sqrt(1700) + -1 - sqrt(1700)) - sqrt(1700))**2 - (sqrt(1700)*1*6 + sqrt(1700)))*-4 + (-3 + sqrt(1700)*-3)**2 + sqrt(1700)*3 + -3.\nAnswer: 970*sqrt(17) + 8367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -396\/4025 + 2\/175. Which is the closest to -4? (a) -2 (b) 4 (c) p (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4410?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40244*f**3 + 124544.\nAnswer: -120732*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*a**5 - 148599*a**4 + 942045*a**3 - 909513*a**2 - 2000130*a = 0.\nAnswer: -5510, -1, 0, 11\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 813200, 813201, 813202, 813203?\nAnswer: 813204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/226053075?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4424413124 - -3?\nAnswer: 4424413132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*41.793183.\nAnswer: -250.759098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 9*t + 150 = 0. Let l be 152\/t + (-4)\/(-10). Let q = 4 + l. Put q, -3, -5 in ascending order.\nAnswer: -5, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 12) to base 11\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, z: 1, p: 2, i: 1, a: 2}. Give prob of picking 1 i, 2 a, and 1 z.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 6 = -34. Suppose -4*p - o = 4*z - 82, -3*p - z + 64 = 0. Find the third derivative of 27*h**4 + 550 - 550 + p*h**2 wrt h.\nAnswer: 648*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24479.534 rounded to the nearest 1000?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 3. Let z(q) = -q - 2. Let u be z(-5). Are o and u equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 13*m - 88. What is the least common multiple of r(19) and 33?\nAnswer: 1749","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -16*g - 4. Let v(s) = s - 17. Let r be v(15). Is x(r) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(5\/6)*v*v\/((v\/(v*v\/v**(1\/3)*v))\/v))\/(v**(2\/3)*v*v*v**(1\/6)*v))\/((v*v**(-3)\/v*v\/v**(-4\/3))\/(v\/v**4*v**1)) assuming v is positive.\nAnswer: v**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 31 = -5*l - 12, 5*a - 3*l + 45 = 0. What is the units digit of (-4)\/a + 200\/24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = s + 1639, -2*s - 8261 = 3*s - 3*m. Let k = -742 - s. Let o = k - 595. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 16283 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 8, g: 2}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 - 6)*(369 + 4). Let m(x) = h*x + 6*x**2 - 7*x**2 + 1 - 384*x. What is m(-10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2648 is divided by 208?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 13) + (-15 - -8 - (-17 + 6)) + 42.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 118 - (149 - (163 - 109))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 4:22 AM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13\/4 - 11\/16. Find the common denominator of -139\/36 and i.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rmpq when four letters picked without replacement from {m: 4, r: 3, q: 1, p: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101111110 + -1001011000011111?\nAnswer: -1001100110011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 37 + -3 + -7?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of m**4\/12 - m**3\/3 + m**2 - 3*m. Calculate the remainder when 8 is divided by l(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 167077 and 41?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d**2 + 2*d**2 + 73 - 7*d + 2*d**3 - 64 to f*d + w*d**3 + r + b*d**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {q: 3, t: 3, a: 4, y: 2, m: 4}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 7*n**2 + 18*n + 21. Determine z(-9).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -55604*r - 333634. What is h(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 + 1)*(0 + 0 + 2*o**2) - o + o + o**2 to h*o**2 + j + c*o and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -5*n**3\/3 + 13*n. Let w(h) = h. Give w(t(q)).\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q + 49*q**2 - 26*q**2 + 11*q**2 + 2*q in the form f*q**2 + s*q + n and give f.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -4. Let g(y) = 0*y**2 - 205*y + 369*y - 161*y - 8*y**2. Give g(x).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 7. Suppose -p*m - 10 = 5*i, -4*m + m = -2*i + 16. Is (m\/(-6))\/((-6)\/(-333)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 168 and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from zlzzlzzzzllzzzlz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/909 and -25\/11514.\nAnswer: 34542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c*t**3*w**4 + 6*c*t**3 - 90*c*t + 48*c*w - 5*t**3*w with respect to w.\nAnswer: -8*c*t**3*w**3 + 48*c - 5*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p + 3*p - 3*p + (-2 - 2 + 3)*(p - 4*p + 5*p) - 26 + 5*p + 46*p + 15 to the form v*p + x and give x.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -275 - -541?\nAnswer: 2aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192) + -3 + sqrt(192) - sqrt(192) - -6*sqrt(3)*-1.\nAnswer: -3 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b - 12. Suppose -234 = -4*a + 114. What is the remainder when a is divided by l(-10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 104 = 22*y. Let w(n) = -13*n + 1. Let a be w(-1). Let t(s) = 12*s + y*s + 4 - a*s. Determine t(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18398 - -19325. Which is bigger: k or 930?\nAnswer: 930","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 128145 or 128144?\nAnswer: 128145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -7*l**2 + 3. Let s(j) = -20*j**2 - j + 8. Let k(c) = -17*m(c) + 6*s(c). Let d be k(-4). Let z = d + 0. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5503, 20956, 46345, 81670?\nAnswer: 126931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-14)*-7*16\/52.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 13*w + 15. What is s(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18 and -0.0201419?\nAnswer: 0.3625542","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*f + 23*f + 23*f + 36*f**3 + f**3 + 2*f**3 + 21*f.\nAnswer: 39*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -33100 (base 4) in base 5?\nAnswer: -12401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 546 + -167. Let s = 663 - d. Let x = s - 154. Is 26 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*i + 4*p, 2*i - 5*p + 5 = 14. Let x be (-4)\/(-28) + 58\/(-14). Let t(d) = -2*d + 1. Let l be t(-1). Put i, l, x in ascending order.\nAnswer: x, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 8:17 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/4)\/n)\/n**2)\/(n*n**(3\/4)*n)**(1\/10) assuming n is positive.\nAnswer: n**(-141\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 8*m + 9. Let r be q(8). Let f be 2\/(-6) - (-3)\/r. Solve d = 3*d - 3*i + 5, f = -4*d + 4*i - 8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24512 (base 6) to base 12\nAnswer: 2138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -5*b**2. Let o(k) be the third derivative of -k**7\/2520 - k**4\/8 + 4*k**2. Let p(n) be the second derivative of o(n). Determine p(q(h)).\nAnswer: -25*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 565 - 4?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(833))*-6)**2 - (-1 + sqrt(833) + sqrt(833))**2*-2) + 0 + (-1 + -2 + sqrt(272) + 0 + -1)**2.\nAnswer: -592*sqrt(17) + 36978","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 10. Let a be l(-10). Let m = a + 64. Let f = -3 - m. What are the prime factors of f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*t**3*y**2 - 116*t**3*y + t**3 - 6861*t**2*y + 5*y**2 wrt t.\nAnswer: -60*y**2 - 696*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 0*u**3 + 0 - 3\/2*u**2 - 1\/12*u**4 - u. What is the first derivative of i(f) wrt f?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -84\/19?\nAnswer: -84\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*z**3\/3 - 22132*z**2\/3 + 8084*z - 2208 = 0.\nAnswer: -184, 6\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 5:56 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**3*o - 26448*h**3 + 2*h**2*o - 86*h*o + 73*h - o wrt h?\nAnswer: 6*h*o - 158688*h + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 83*z**2 - 12*z - 232. Let r(v) = 2*v**2 - v - 18. Calculate 26*r(b) - 2*t(b).\nAnswer: -114*b**2 - 2*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66 - (-50 + 15)) + 10 + (-8 - -22).\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 9*z - 61*z + 703 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, -2, -1549, 0.02.\nAnswer: -1549, -2, -1.1, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*g**2 - 3 - 2*g**3 + g**4 - 13*g**2 - 5*g**3 + 5*g**3 in the form r*g**4 + s*g**2 + l + c*g**3 + n*g and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-90*b**2 + 45691*b - 45691*b + (-b - b + 3*b)*(2*b + 2*b - 3*b) - 9 + 4*b**2 + 9)*(-5 - 2*b + 5).\nAnswer: 170*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6 - (7 + -13 + 0). What is the remainder when 315 is divided by (140\/49)\/((p - 2)\/(-28))?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/14 and 69\/1556.\nAnswer: 10892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4709, 3, 5 in descending order.\nAnswer: 4709, 5, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.18 (b) 0.27 (c) -3 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1432377550?\nAnswer: 2, 5, 1583, 18097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -3*x**3\/4 - 308567*x**2 - 822843*x\/4 + 205711\/2 = 0.\nAnswer: -411422, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 35261209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from xxexexxkxxxxxxe?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 2\/53, 3, 0.4.\nAnswer: -1\/6, 2\/53, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2*3)\/(-3)*(-21)\/70. Let d = 2\/957 + 943\/6699. Sort d, p, 2\/7.\nAnswer: d, 2\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 15*d. Let k be b(1). Suppose 0*t - 3*t + k = 0. Let m = 73 - 77. What is the closest to 2\/7 in 3, m, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 3*n + 0*n**2 - 3*n. Let a(q) = -5*q. Give a(g(o)).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51982 is divided by 12938.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -11002291 and -0.2.\nAnswer: -11002291.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22568*g + 22555*g + 129519 = 0. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -39*n. Let t = -15 + 17. Let a(i) = -21*i**2 + 43*i**2 - 23*i**t. Determine a(j(f)).\nAnswer: -1521*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 970833 and 15?\nAnswer: 4854165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xe when two letters picked without replacement from {x: 2, t: 1, y: 3, e: 6}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27721, -55126, -82529, -109930, -137329?\nAnswer: -164726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-22)\/(-4)*8\/22. Suppose -11*y + 9*y = -q*g - 10, 2*g - 5*y = -25. Let s(u) = u. Let a be s(4). Sort 12, g, a, -5 in ascending order.\nAnswer: -5, g, a, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*s**4 + 9009*s**3 - 3*s**2 - 16*s + 566238.\nAnswer: -252*s**2 + 54054*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6897)\/(-1254)*432\/44.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 1882188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -313 + 9079\/29. Which is the third smallest value? (a) s (b) 5\/2 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/8 of a week?\nAnswer: 8820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2465*w + 19632. Calculate h(-8).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8430 - -226?\nAnswer: -8204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4 = -5*i, 4*d - 16 = 3*i - 0. Let k = 1 + -1. Let y = k + d. Solve -y*u + 8 = -0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8969537 to the nearest one hundred thousand.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/4 (b) 108591 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -5*f**2 + f + 1. Let k(w) = -163388 + 381*w**2 + 326776 + w - 385*w**2 - 163387. Let a(m) = -m**2 - 5*m - 3. Let v be a(-5). Give v*k(l) + 2*q(l).\nAnswer: 2*l**2 - l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 22607 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 48938818277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 16*r + 3. Calculate i(13).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/(-8) + (1 - -16). Suppose 0 = -4*v + 1 + t. Let j(n) = -38*n. Let p be j(-1). Solve l - 2*m + 15 = 0, 3 - p = v*l - 3*m for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/9, -2, -4603, -0.4, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + o - 2, -2*y = -3*o + 2. Let a = 375 + -1120\/3. What is the third biggest value in y, a, -0.73?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1707409 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 73.1 and -0.15.\nAnswer: 72.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4210196 to the power of 1\/3, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*6.917\nAnswer: -4.8419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -88 bigger than -92?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 20*i + 29. Give g(15).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2249 + 13405\/6. Which is greater: g or -16?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3380 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3442, -12038, -25766, -44632, -68642, -97802, -132118, -171596?\n\"Answer: -m**3 - 2560*m**2 - 909*m + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 323 and 97274.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -142 + 144. What is the third smallest value in a, 1\/2, -0.21?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 186, -3, 3, -2, 5 in descending order.\nAnswer: 186, 5, 3, -2, -3, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5 = -25. Let n be (-284)\/y - (-4)\/(-2). Let a = 1853\/70 - n. What is the common denominator of a and -77\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gkgg when four letters picked without replacement from gskkgggsgpsp?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -26*f + 7. Let d be u(-4). Suppose -4*i + 7*t = 2*t - 139, 3*t - d = -3*i. Suppose 3*m - 18 = i. Calculate the remainder when 33 is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8291)\/(-2))\/((-5)\/10). Let t = -3782 - s. Calculate the common denominator of 23\/12 and t\/(-990) - 4\/10.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330*t - 18 = 327*t. What are the prime factors of (t + (-9 - -7))\/((-4)\/(-862))?\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*((-10)\/(-4) + -5). Suppose 3*k + 3 = -4*n, 3*n + 4 = 2*k + 6. Which is the second biggest value? (a) 5 (b) n (c) q (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - b**2 + b + 8. Let x be v(0). Let i be (-1)\/(-2)*x - 0. Suppose 0 = 4*l - 92 + i. What are the prime factors of l?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.694 + 1.312. Let h = 0.6181388 - c. What is h rounded to five decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/87 and 77\/1392?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137647040 divided by 4.\nAnswer: 34411760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18662 + -368?\nAnswer: 182b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3360 = 12*r. What are the prime factors of (r\/1)\/((-270)\/(-360))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 8\/4)*13. Suppose x + x + 5*m + 5 = 0, m = 2*x - a. Let h(o) = 30*o + 7. Is h(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3995\/37 + 604097\/5550. Find the common denominator of -67\/345 and n.\nAnswer: 3450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.6 or -37.57?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4424\/73 or -62?\nAnswer: -4424\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 40*u + 0 - 175*u**2 - 245\/2*u**3 - 25\/2*u**4 = 0.\nAnswer: -8, -2, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -68\/5. Let z = -2.9 + 2.9. Let i = 3 - z. Which is the closest to -1? (a) h (b) i (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -4*b + 6. Suppose -t = b*t - 234. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and -3150.\nAnswer: 34650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 134 (b) 0.1 (c) -8 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9722*4.\nAnswer: 3.8888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -96 + 126. What is the highest common divisor of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11, -1, 21, 61, 125, 219, 349, 521?\n\"Answer: c**3 + 3*c - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -k**4\/4 - k**3 - k**2 - 3*k - 1852. Determine u(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1464 + 1706. Round z to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = q. Let b(f) = f**3 + f - 5. What is b(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + sqrt(2)*-3) + (sqrt(98)*-5)**2*-3.\nAnswer: -7351 - 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5573*0.2.\nAnswer: 1114.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lmkibkiiibbbdkbilbd. Give prob of sequence kbdd.\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 326830884 a multiple of 467?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 812567271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6533000*b - 3027484 wrt b.\nAnswer: -6533000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387 is divided by 139?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 + -31. Let f = 8 - v. Suppose -2 = -6*a + 5*a, -18 = -4*i - 5*a. Solve -2*c = -4*o + i, 14 + f = 4*c for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a hour in seconds?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -293 by 6306.\nAnswer: -293\/6306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*1\/3)\/(24\/18)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 62\/3. Let -1\/3 - v*w**3 - w**2 - w = 0. Calculate w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 1. Let r = 65 - v. Suppose 0 = -3*b - 2*s + 35, b = 3*s - 6*s + 7. What is the greatest common factor of r and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**2\/3 - 747901*u\/3 - 249300 = 0. What is u?\nAnswer: -747900, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 521.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 - (-110 - (89 + -27)).\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.5 or 929354?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 404 and 259556062?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 23, 21, 21, 23, 27, 33, 41?\n\"Answer: j**2 - 5*j + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9\/5)\/((-60)\/(-100)). Suppose o = 5*o. Let i be (-2)\/(1 - 5)*o. Solve 4*z + m + 16 = 0, 3*m - l - 9 = i for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 9*s + 149. Let x be p(-16). Suppose -f - x*h + 3 = -15, -f - h + 6 = 0. Find a, given that -1\/3*a - 1\/2*a**2 - 1\/6*a**f + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -8 - (-187 + (2 - -1)). Suppose 9*u = 17*u - p. Solve 0 = o - u + 24 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10795 - -20624. What is the thousands digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3770*y**5 + 2147*y + 6?\nAnswer: -75400*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 916771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 138626947 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -u**5\/40 + 5*u**4\/8 + 73*u**3\/12 + 57*u**2\/4 - 85*u. Factor w(x).\nAnswer: -(x - 19)*(x + 1)*(x + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3714106 is divided by 119?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + (-9 - (1 - 11))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w + 1. Let t(r) = -r**3 - 7*r**2 - 5*r - 3. Let a(k) = n(k) - t(k). Let l = -3 - 3. What is the tens digit of a(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 8 = 7. Suppose 3 = -v - 1. Put v, 4, o in descending order.\nAnswer: 4, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 258572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 18*f - 12. What are the prime factors of a(-7)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, w: 4, o: 5, i: 1}. What is prob of sequence oj?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 328264 divided by 8\nAnswer: 41033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120200 - 101?\nAnswer: -121001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14783?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6493877 a multiple of 1258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 20*h**2 - 7*h. Let y(f) = 101*f**2 - 37*f + 1. Calculate 2*y(i) - 11*z(i).\nAnswer: -18*i**2 + 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-21)\/(-14)*(-8)\/(-6). Suppose -l*c + 0*c = -6*c. Let n = 92 - 88. Solve n*s + c*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b5 + -6?\nAnswer: -1bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 3678477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 9:09 PM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11840816*h**2 - 23266858*h + 3 wrt h?\nAnswer: 23681632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d**4\/7 - 207380*d**3\/7 + 154757476*d**2\/7 + 206642868*d\/7 + 51678000\/7 = 0.\nAnswer: -1, -1\/3, 783, 16500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43193396?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3 + sqrt(171)*-2 + 5 - 5*(4 + 1*sqrt(171) + -1))**2.\nAnswer: 420*sqrt(19) + 8479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -0.2. Let m be 16\/(-140)*10\/(-4). Let f be -1 - -1 - (4 + -1). Which is the nearest to m? (a) h (b) -1\/6 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -142294 divided by 4.\nAnswer: -71147\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 81 and 54.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1723, -3318, -4867, -6370, -7827?\n\"Answer: 23*i**2 - 1664*i - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 0*h + h)*(h**4 - 4*h**4 - 8*h**4) + 107*h**5 - 55*h + h**4 + 55*h.\nAnswer: 85*h**5 + h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -u - 49 + 86 - 48 as z + r*u and give z.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**2 - 3*y**2 + 6*y**2 - 14 - 2*y**2 to the form a*y + l + c*y**2 and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 + -25. Suppose z - 10 = -w*z. Calculate the smallest common multiple of 48\/9 + (-4)\/(-6) and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in 80, -49, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2217.2 to the nearest ten.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6743, 6741, 6739, 6737, 6735?\nAnswer: 6733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4123719799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14138 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 2. Suppose m*z = 5*z. Let n = 4 - z. What is the remainder when 7 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34937788, 34937786, 34937784?\nAnswer: 34937782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 41*t - 132. Calculate a(4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7659 + 11390. What is the highest common factor of s and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6597 by -3.\nAnswer: 2199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-144)\/(-84))\/((-130)\/2275)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 35 = 4*x. Suppose 0*c = -x*c + 75. Find the second derivative of 3*r - 3*r - c*r**3 - 2*r + r wrt r.\nAnswer: -90*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 140, 161, 186, 215, 248?\n\"Answer: 2*q**2 + 15*q + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -438*l**3 - 4956*l**2 + 4956*l**2 - 165*l**3 + 199*l**3 - 300*l**3.\nAnswer: -704*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - 7*f. Suppose 2*p + 4*b - 24 - 32 = f, -b = 5*p - 113. Calculate the lowest common multiple of 8 and p.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and 975782.196?\nAnswer: 975784.196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 v when two letters picked without replacement from {u: 3, v: 7}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 108931, 114149, 122845, 135019, 150671, 169801, 192409?\n\"Answer: 1739*b**2 + b + 107191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 8 = -2*j. Suppose -2*z - j*z = -8. Suppose -o = -6*r + 5*r + 3, 4*r = z*o + 20. Solve r + 5 = 4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2171, -34 in increasing order.\nAnswer: -2171, -34, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 6*v - 5. Calculate the remainder when w(-3) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/19))**32)**(-39) assuming x is positive.\nAnswer: x**(2496\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155522787 divided by 157.\nAnswer: 990591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -7*c + 149. Let q be v(6). Find the first derivative of 61*m**3 - q + 185 + 0*m**3 wrt m.\nAnswer: 183*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8765 in -125, -1\/2, -0.08?\nAnswer: -125","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/154*((-5)\/6 + 2)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 63*i**2*p**4 + i**2*p**2 - 645*i**2 - 9*i*p**6 wrt p.\nAnswer: 1512*i**2*p - 1080*i*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 690 = -6*h. Suppose -h = -v - 4*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(4\/6) + 1518\/(-253)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 691005?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 4*b**3 - 6*b**2 - 13*b + 205. Give o(8).\nAnswer: 1765","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7dc + -36?\nAnswer: -812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 3*h + 2*h - 21, -h = 5*k + 27. Let p be (-2 - k) + (-19400002 - 2). What is p rounded to the nearest one million?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -d**4\/12 + 7*d**3\/6 - 4*d**2 - 23*d - 20. Let s(k) be the first derivative of g(k). What is s(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/73084 and 41\/14.\nAnswer: 511588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91)*1 - sqrt(91))*6 + 1*sqrt(91)*1)\/(sqrt(448) + sqrt(448) + sqrt(448) + sqrt(448)*3*1).\nAnswer: sqrt(13)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 0. Let s be -4*-1*r\/4. Find the second derivative of 2*u + 0*u**2 + u**s - 3*u wrt u.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/5)\/(2*(-7)\/595). Find the second derivative of l*y**4 - 544*y - y**2 - y**3 + y**2 + 531*y wrt y.\nAnswer: 408*y**2 - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/2*(-720)\/(-270).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p + p**2 + p + (-p + 0*p + 0*p)*(-3*p + 2*p + 0*p) - 13*p**2 + 3*p**2 + 38*p**2.\nAnswer: 30*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/3 and -64\/21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -5*z + 14 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 963 + -1024 + (7 - 6) + (2 - 0)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5760600*150.\nAnswer: -864090000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -0.1, -0.01 in descending order.\nAnswer: -0.01, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + (4 + -3 - -7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.852108 grams in tonnes?\nAnswer: 0.000006852108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 31 in 1\/9, -4, -16?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2 - 3. Let c be (1 + -2)*0*(-1 - 0). Let g(n) = -n**3 - n**2 + 2*n + 4. Let j be g(c). What is the units digit of t(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30b0 (base 16) in base 7?\nAnswer: 51224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8889*t - 24328*t - 2078*t - 3258*t.\nAnswer: -38553*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -8*t + 3*h - 31, 5*h - 15 = t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**29*m*m)\/m)\/m**31*m**(-1\/6)*m**(-25)*m assuming m is positive.\nAnswer: m**(-145\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 62\/18) + 1. Let z(x) = -114*x + 181. Let d be z(-3). Let n = -526 + d. Is a less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 52?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63 - 128. Let t = -46 - n. Let x = -22 + t. Sort x, 6, 2.\nAnswer: x, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u = -22*u + 915. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -5*w + 50, -3*g + 6*g = -5*w + 52. Let x = -5 + 9. Let a(k) = 6*k + 8. Let y(t) = 46*t - 63*t - 3 + 15*t. Give w*y(f) + x*a(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 805 and 1449.\nAnswer: 7245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 919433340 a multiple of 2170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -2067\/2987?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -73 or -70?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 215695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -8*a. Let c be -1 + a + 0 - 1. List the prime factors of (5 + -14)*c\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21110 by 2.\nAnswer: 10555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 20*s**2 - 2*s - 23. Let q be x(-20). Let k be 12 - q - (-3)\/6*14. Solve -k*b + 4 = -2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and 13.05.\nAnswer: -91.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fcf when three letters picked without replacement from {c: 3, f: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t + 17. Let y be 4 - 5\/((-10)\/(-8)). Let g be u(y). Is (-3812)\/(-6) + g\/(-51) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2778 - -5270. List the prime factors of l.\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 532, 1015, 1514, 2029, 2560, 3107, 3670?\n\"Answer: 8*f**2 + 459*f + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqr when three letters picked without replacement from {f: 2, q: 4, r: 1, e: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-36)\/30*(-280)\/3. Suppose 6*o = 2*o + n. Let z = -20 + o. Calculate the least common multiple of z and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2832.386 and 941092.1.\nAnswer: 943924.486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4050) + 1 + -3)**2 + (((-1 + sqrt(2) - sqrt(2)) + -3)**2 + 1)*3.\nAnswer: -180*sqrt(2) + 4105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.14, 4, 9, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -g**2*r*z**2 - g**2*r - 19*g*r*z**2 + 2*g*r - 4*r*z + 7514 wrt z.\nAnswer: -2*g**2*r*z - 38*g*r*z - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2975 - 7195. Suppose -2*u = 2*b - 126, 8*b + 2*u + 63 = 9*b. Is x\/(-21) + (-27)\/b a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 4. Let f = 42 - 40. Suppose -3*s + i = 5*b, -2*b - 3*s + s = -f. Solve g - b = 3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 267, 270, 273, 276, 279, 282?\nAnswer: 285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 10 = 20, 4*o - 3*q - 55 = 0 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 2*s + 6 = 2*o, 4*o + 4751*s - 60 = 4759*s for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -1987.\nAnswer: 5\/1987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -251, -439, -627?\n\"Answer: -188*r - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -269, -781, -1535, -2531, -3769?\nAnswer: -5249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-4) - 21\/(-4). Suppose w - l = 9. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 4. Let n = -0.15 - -6.15. Let w = 2 - n. Which is the smallest value? (a) w (b) 0.1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4142, 4140, 4138, 4136?\n\"Answer: -2*g + 4144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0016985429 to four decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u**2 - 2*u - 25. Let l be t(6). Suppose n - l = -4*g, 3*g - 4*n = -2*g + 118. Is g a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, q: 1, l: 4, w: 3, v: 9}. What is prob of sequence lwf?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 6*n - 2. Let t be w(-5). Suppose t*i = 7 - 1. Suppose 0*d + 22 = i*d. What is the greatest common factor of 121 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 320289, -37, -0.4 in decreasing order.\nAnswer: 320289, -0.4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -8*o - 18. Let v(k) = -31*k - 77. Determine 23*m(q) - 6*v(q).\nAnswer: 2*q + 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(2880))\/(sqrt(10) + -1*((sqrt(10) - 4*sqrt(10)) + sqrt(10))) + 2.\nAnswer: 2 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (990 + -996)*3*(-5)\/675?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*f + 45. What is the third derivative of f*s**2 - 6*s + 6*s - 70*s**2 - 23*s**5 wrt s?\nAnswer: -1380*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1824751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {t: 2, y: 3, j: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 96656734*h*i**2*r**3 - 153*h*i**2*r - 62*h*i*r**2 + 1618 wrt r?\nAnswer: 579940404*h*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9555?\nAnswer: 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192)*2*5.\nAnswer: 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1404*m - 5130*m + 1632*m - 3315*m - 2853*m in the form k + v*m and give v.\nAnswer: -8262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3.198237 millennia?\nAnswer: 319.8237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 8440, -3 in decreasing order.\nAnswer: 8440, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 6*h + 303. Let u be j(0). Let g = u - 115. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 q, and 1 r when three letters picked without replacement from ydqgxxrg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u - 3. Suppose 3*c + 0 - 6 = 0. Let f be g(c). Suppose -f*z - p = -4*p - 119, 2*z - 38 = -2*p. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -4*a - 1, 35*h = 2*a + 36*h - 7. What is the nearest to 1 in 0.3, 1, -0.2, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*v + 31*v - 828. Let z = -264 + v. Is z a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/16 and 1\/12702616?\nAnswer: 25405232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 281257249*d**2 + 4*d - 97546241 wrt d.\nAnswer: 562514498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5311437, -10622872, -15934309, -21245748, -26557189, -31868632?\nAnswer: -37180077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 294, 355, 396, 417?\n\"Answer: -10*s**2 + 91*s + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -7*r**6\/180 - 5*r**3\/6 + 9*r**2. Let u(z) be the first derivative of f(z). Let p(c) = c**2. Calculate u(p(h)).\nAnswer: -14*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -97 - (41 + -6 + 2) - (3 + (-3 - -5))\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -107 + 111. Let s(y) = -y**3 + 111*y**2 + 591*y + 1009. Let x(d) = -28*d**2 - 148*d - 252. Let i(h) = p*s(h) + 18*x(h). Factor i(u).\nAnswer: -4*(u + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 4*h**2 + 5*h. Let p be g(-5). Suppose p*l = 2*l - 26. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 75 = 2*k - 2*i, -3*i = -k - 24. Let b be 88\/k*(-3)\/4. Suppose q = -b*q + 117. List the prime factors of q.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -13*m**3 - 26*m - 140. Let k be z(-7). What is the second derivative of 4481*o + 4 + 230*o**5 - 3 - 52*o**5 - k*o wrt o?\nAnswer: 3560*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 22*w - 1437. Let t be n(-64). Solve 1239 = 12*q + t for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -15 (c) -58 (d) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6903527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.46 - -0.04. Let v(r) = 6*r**2 - 7*r + 4. Let o be v(1). Which is the second biggest value? (a) o (b) -4\/13 (c) -4 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*1*91\/(-14). Let l(h) = -15*h**2 - 13*h - 6. Let q(j) = -7*j**2 - 6*j - 3. Let o(a) = s*q(a) - 6*l(a). Find the first derivative of o(c) wrt c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1798, 1893, 1988, 2083?\n\"Answer: 95*z + 1703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 35 + 22 = 0. What is the lowest common multiple of (-16)\/24*3 - n*-42 and 25?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 57543.2 * -1.9.\nAnswer: -109332.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -4*c + 116. Let n = 29 - c. Let q(y) = -y**3 - 13*y**2 + y + 19. Let w be q(n). Calculate the highest common factor of w and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 290 = -0*k. Let m = -319 + k. What are the prime factors of m\/(-21) + 4\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v**2. Suppose 4*z = 4*a - 24, -3*z + z = 3*a - 38. Let l(b) = 9*b - a*b - b. Calculate l(c(i)).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 1317*h**5\/20 + h**4\/6 - 1093*h**2\/2 - 1305*h. Find the third derivative of t(c) wrt c.\nAnswer: 7902","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002853726 to six dps.\nAnswer: 0.000285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 39 = q, -92 = 3*q + j - 0*j. Let p = q + 70. Suppose 0*a = -3*f + 2*a + 25, p = 5*f - 3*a. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -232 - -449. Suppose -43*l - p = -50*l. What is the remainder when 90 + 0 + 0\/1 is divided by l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2678622 - 17*t**2 + 2678622 - 4*t + 4*t.\nAnswer: -17*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 133 + -90. Does 7 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*l = -2*k - 108, 658*k - 40 = 663*k + 5*l for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*l + 1034 = 33*l + 326 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*b - 1 = 22*b. Let w = -88613\/162 + 547. Do b and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z + 9*z - 1264 = 0. Is -1*(29*z - 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(72\/(-56)) + -761007. Round t to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**2\/2 + 77*a = 0?\nAnswer: -154, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -44137?\nAnswer: 44140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0196204475 to six dps.\nAnswer: 0.01962","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 - 46899*d**3 - 46905*d**3 - 2*d**2 + 93786*d**3 - 3*d to the form v*d**2 + y + g*d**3 + k*d and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*k - 3*k + 40*k - 14*k.\nAnswer: 41*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 8.5. Suppose -12*j + 7*j - 8 = -3*k, 5*k = -3*j + 36. Suppose 93*h = 99*h + k. Sort 1\/2, h, 0.3, r in increasing order.\nAnswer: h, r, 0.3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 6*o**4 - 25*o**3 - o + 14. Let h(j) = 7*j**4 - 26*j**3 - 2*j + 13. Let r(a) = -5*h(a) + 6*q(a). What is the second derivative of r(i) wrt i?\nAnswer: 12*i**2 - 120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 16085, 32043, 47989, 63917, 79821, 95695, 111533?\n\"Answer: -x**3 + 15965*x + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b + 128. Calculate the smallest common multiple of m(-25) and 64.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/173 bigger than -16510?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1906 - 1536. Let z = 68 - 54. What is the least common multiple of o and z?\nAnswer: 2590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 256110445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-1)*(1 + -3). Let v = -11 + 36. Let r = 25.3 - v. Which is the nearest to 5? (a) r (b) 0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-6\/5)*y)\/y)\/(y*y*y\/(y\/y**(5\/6))))**(-2\/9)*(((y**(-1\/5)*y)\/y)\/(y**(2\/15)\/y))\/(y\/(y\/(y\/(y*y**1))))**(-3\/7) assuming y is positive.\nAnswer: y**(1072\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((b*b\/(b*b**(-2\/7)*b))\/b)\/b*b)\/(b**(-4)*b))\/(b**(-2\/3))**46)\/(b*b\/((b\/b**(-1))\/b)*b**(-2\/27)*b*(b\/(b**(2\/3)*b))**24) assuming b is positive.\nAnswer: b**(8888\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-13)\/x**(-2\/7))\/(x*x*x**(-40)*x*x*x**7*x) assuming x is positive.\nAnswer: x**(107\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 5*i**3 + 489834*i**2 - 979683*i + 489844 = 0.\nAnswer: -489844\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6963072 to the nearest integer?\nAnswer: 2639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 3998.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1971192 + j - 985600 - 985603.\nAnswer: j - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) -0.2 (c) -1574\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -193 divided by 114\nAnswer: -193\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 299 divided by -20781.\nAnswer: -299\/20781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10101100200 - -110?\nAnswer: -10101100020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/6*(-7 - (-368)\/56)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 11:16 PM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45007*s**3 - 536*s.\nAnswer: -270042*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/16 - (6 - (-153)\/(-24)). Let c(j) = 5 + 4*j + 4 - 3*j**2 + 5*j. Let i(a) = -a - 1. Let f(q) = -q**2 + q + 9. Let v be f(0). What is v*i(o) + w*c(o)?\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 3:58 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9613987 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-31*s + 28*s - 51*s)*(3 + 8 + 7)*(2*s**3 - s**3 + 6*s**3) to t*s**3 + q*s + z*s**2 + o*s**4 + l and give o.\nAnswer: -6804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/4095 (b) -5 (c) 1064 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 9*a + 3. Let l be j(-9). Suppose -l*c - 2 = 4*i, -i + 4*c - 3 = 7. Is -2 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**5\/6 + 62*j**4\/3 + 770*j**3 + 32413*j**2\/3 + 285683*j\/6 + 37559 = 0?\nAnswer: -71, -23, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u + 8*u + 0 + 3*u + 0. Let a(i) = -9*i + 1. Give f(a(w)).\nAnswer: -72*w + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -41 - (-166 - -41 - -48)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -277 bigger than -267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 745 + 859 = -3*n, 0 = 2*l + 5*n - 802. Is 2 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -656107*i**3 - 656081*i**3 - 656110*i**3 + 1968291*i**3.\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 49149.5 rounded to the nearest 1000?\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 9:38 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -258640, -258621, -258602?\n\"Answer: 19*r - 258659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*q + 142*q + 279 = 3*h, -2*q + 5*h + 200 = 0. Which is bigger: q or 76?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29325 = -3*x + 2*w, 14*x - 5*w - 39114 = 10*x. What are the prime factors of x?\nAnswer: 3, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7912 divide 481017952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from efffffffffffffffeff. What is prob of sequence fe?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126052, 126075, 126098?\nAnswer: 126121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q + 17418*v - 17416*v + 8, -5*q + 20 = -5*v for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 245 - -64200?\nAnswer: 64445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) -0.4 (b) -2\/23 (c) 0.5 (d) -15\/4 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1548 + 372 - 621*h**2 + 725 with respect to h.\nAnswer: -1242*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 9:28 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178817 = -7*n + 226212 - 49086. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.97 - -12. Let i = x - -1.72. Round i to 1 dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*a - 18. Let f be 14\/49 - (-24)\/a. Let i = 1 + f. Calculate the highest common factor of 27 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.6 - 35.6. Let d = w - -29. What is the nearest to 1 in -4, d, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39 - -42. Suppose 0*j + 2*d = j - 37, -67 = -2*j - k*d. Let h = j - 33. Which is the third biggest value? (a) -4 (b) h (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56 - 61.01. Let k = m - -0.01. Let q = 0.8 + -1.1. Which is the closest to 2? (a) k (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + (13 - 39) - (-12 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1111 (b) -1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34870740 to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -q**3\/3 - 23*q**2\/2 - 10*q + 11. Calculate the lowest common multiple of d(-22) and ((-2)\/(-2))\/((-1)\/(-6)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**3 - 85045614*x**2 + 170091234*x - 85045618 = 0.\nAnswer: -42522809, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-9) - (-21)\/27. Let c(g) = 2*g + 1. Let j(z) = -1. Let l(n) = s*c(n) - 2*j(n). What is the units digit of l(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - y + 4*y)*(-2*y - 2*y + 0*y) + 3 - 2*y**2 - 3 + (-1 + 2*y + 1)*(y - 4*y + 5*y) - 3*y**2 - 3*y**2 + 4*y**2.\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-1425)*-1*5.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 5*y - 6. Let w be p(6). Suppose 10*m - 7*m = w. Suppose -5*h = l - 15, m*h - l = h - 3. Solve h*a = a + 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 3*v - 39, -2*n - 2*n + 5*v + 25 = 0. Suppose -7 = 3*f - n. Let u = -0.6 + 0.2. Which is the smallest value? (a) -5 (b) f (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*i**3 + 372*i**2 + 288*i - 112.\nAnswer: -4*(i - 14)*(i + 1)*(7*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p - 7. Let h(m) = -m + 6. Let y(k) = -7*h(k) - 6*x(k). Let o be y(4). Suppose -i + o - 2 = 0. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3462.36 + 0.5?\nAnswer: 3462.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4055a (base 14) in base 12?\nAnswer: 75658","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -312*l**2*n + 7*l**2 + 2*l*n + 55*n + 572 with respect to l.\nAnswer: -624*l*n + 14*l + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 113 = 3*t + 109, -t = 4*d - 214. Calculate the remainder when 8 + (-2 - -201) + -2 + 5 is divided by d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -6*k + 10. Let p(n) = 11*n - 19. Let q(o) = -5*d(o) - 3*p(o). What is the first derivative of q(h) wrt h?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1)*v)\/v*v)**18\/(v**(2\/9)*(v**(-4\/7)\/v)\/v) assuming v is positive.\nAnswer: v**(148\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 2:00 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 644, 838, 1032, 1226, 1420, 1614?\nAnswer: 1808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*u = -20*u + 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -k**4\/4 + k**3 - k**2 + 2*k + 131. Give q(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.6 (b) -55860 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 7440?\nAnswer: 7442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.74811 - 0.43?\nAnswer: 4.31811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 0 + 3 - 1 - 2*k + 2*k**2 - 1. Let v = -14763 + 14760. Let f(t) = t**2 - 2*t. Give v*f(c) + 2*o(c).\nAnswer: c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*x + 29*x + 2*x**2 - 2*x - 53.\nAnswer: 2*x**2 - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 666 = -58*x - 3*u + 86, 10 = -x - 5089*u + 5091*u for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 7001000 to the nearest 100000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from ooqvvwoqovqwovq.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2*a)\/(a\/(a*a**11*a*a))*((a**(-4\/5)*a)\/a)\/a**3 assuming a is positive.\nAnswer: a**(61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 974964?\nAnswer: -974961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 8*o - 6*o)*(14*o**4 - 5*o**4 + 3*o**4) + (3*o**2 - o**2 - 3*o**2)*(0*o**2 + o**3 + 0*o**2).\nAnswer: -121*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.088 - -36.912. Let g = -36 + w. Which is the second biggest value? (a) 5 (b) g (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22630512 divided by -30916?\nAnswer: -732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/9 + 244\/(-36). Let v(a) = a + 11. List the prime factors of v(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) -5\/4 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 12 = -6. Let c(j) = -j**2 + 11*j**3 - p*j**3 + j + 3*j**2. Suppose 2*d = -6*t + 2*t - 12, -t - 13 = 3*d. Give c(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((1 - 1 - 6) + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2120234 (base 6) to base 4\nAnswer: -121111132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4 = r - 2*t, -8 = -4*t. Suppose -6*n + 4*n = 2. What are the prime factors of (r + n)\/((-3)\/63)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-2) - ((-90)\/(-15) + -10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 18. Suppose 0 = 2*z + b*a - 1376, -4*a + 0*a = 2*z - 1378. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v. Suppose 2*f - 50 = -3*f. Suppose 0 = 2*y - 0*x - x - 1, -5*y + 5*x - f = 0. Let h(a) = 3 - 2*a - y. Determine g(h(j)).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + 0.6. Let o be -15 + 10 + -2 + 8. Sort y, o, 0.8, 0.3 in ascending order.\nAnswer: 0.3, y, 0.8, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 629332844 to the nearest integer?\nAnswer: 857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*6*sqrt(22)\/sqrt(176) - (0 + 2*(sqrt(32) + -1)).\nAnswer: -19*sqrt(2)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2378 rounded to 2 decimal places?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 41*t**2 + 207*t - 2192. Determine q(37).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -554, -552, -546, -530, -498, -444?\n\"Answer: c**3 - 4*c**2 + 7*c - 558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -191 + 203 + 13 + 28 + 0?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7201 and 136061?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -41*k**6\/120 - k**5\/15 - 18*k**2. What is the third derivative of c(s) wrt s?\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 123 + -87. What is the remainder when h is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1530*t**2 + 420*t**2 - 577*t**2 + 339*t**2 - 1100*t**2 - 1166*t wrt t?\nAnswer: -4896","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*b + 4 = 0, z - 3*b + 4*b = 0. What is the common denominator of 79\/16 and 85\/((-2)\/z - 13)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -1 + 9. Which is the closest to -1? (a) 1\/2 (b) j (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -17*i**3 - 61*i**2 - 4*i + 33. Let b(x) = 8*x**3 + 30*x**2 + 2*x - 16. Let n(y) = 13*b(y) + 6*v(y). What is the second derivative of n(j) wrt j?\nAnswer: 12*j + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-2) + -1 - -1. Suppose 0 = -s*t - t - 6, 5*c - 114 = -3*t. Suppose w = c + 3. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10*(5 + 18\/(-4)). Solve o = a + 1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -195 * -5.\nAnswer: 975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 211645 (base 8) to base 5\nAnswer: 4224230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000833 to 7 decimal places.\nAnswer: -0.0000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - p**2 + p - 39. Give d(0).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(1\/2)*z*z)**(-4\/9)\/(z**(-9\/4)\/(z\/z**(-3))))**(-16\/7) assuming z is positive.\nAnswer: z**(-68\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1629 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 674 + 14?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -751, -1505, -2259?\nAnswer: -3013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 71\/4 of a litre?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 45*m - 43*m = 22094, 6 = -2*m. What is the greatest common factor of k and 520?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1733, -3457, -5199, -6953, -8713?\n\"Answer: f**3 - 15*f**2 - 1686*f - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + sqrt(20)\/(sqrt(4) + 1*sqrt(4))) + (-5*1*sqrt(125) - sqrt(125))**2 + ((sqrt(125) + 1)*4)**2 + sqrt(125) + -4.\nAnswer: 162*sqrt(5) + 6512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1455, 1457, 1469, 1497, 1547?\nAnswer: 1625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.33 greater than or equal to -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**2 + 12*q - 2*q**3 - 16 + 4*q - 15*q to j*q + g*q**2 + w*q**3 + l and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.640000598 + -6.64. What is i rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 22\/5 + 6\/(-15). Let d = b + 0. Let y be -2*1\/(3 - d). What is the nearest to -0.2 in 0.2, -4, y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -t. Let j(q) = -q + 1. Let p be j(-5). Suppose -o + p = -h + 1, 0 = 2*o - 3*h - 11. Solve t = c + o*c - 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 39*t + 41*t - 8 = 0, 16 = 4*t for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (231\/22 - 11)*(55 - 1). What is the closest to 0.1 in n, 0.3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68 + -64. What are the prime factors of (13\/(312\/(-176)))\/(z\/(-102))?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*b - 2*t, -3*b - 5*t - 11 = -2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -463*t - 9*t**2 + 9*t**2 + t**3.\nAnswer: t**3 - 463*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48 + 60. Suppose 778 = 5*u + 2*c, -i = -c - 2*c. List the prime factors of u.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) 5 (c) -0.06 (d) 62 (e) -459 (f) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (82\/(-369))\/(-1*1\/2). Which is smaller: -3 or j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 22 = 2. Let f(x) = x**3 + 3*x**2 - 5*x + 4. Let u be f(-5). Let b = u - -29. What is the remainder when b is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/5)\/c)\/(c**(1\/6)*c)*(c*c**(-2\/15))\/(((c**(2\/13)*c)\/c)\/c))\/((c**(4\/7))**(15\/11))**19 assuming c is positive.\nAnswer: c**(-150741\/10010)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -114 + 119. Suppose -i + 0 - c = 0. Let u(r) = -r**2 - 8*r - 3. What is u(i)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3382 = 5*g + 21*c - 17*c, 2*c - 680 = -g. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 6*m**2 + m - 13. What is l(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -1147*i**6\/20 + 583*i**4\/12 - i**3\/3 - 2*i**2 - 100*i - 2. Find the second derivative of a(c) wrt c.\nAnswer: -41292*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16163938*o**2 - 8078946?\nAnswer: 32327876*o","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0481682*-7.\nAnswer: 0.3371774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 13*a - 2. Let n be q(-9). Let u = n - 10. Is u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28194 and 221556?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 7:06 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2)*a)**(-8) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 241.57088 minus -4.2?\nAnswer: 245.77088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14507652 divided by 14507652.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 165.3546.\nAnswer: -330.7092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(3025) - (sqrt(3025) + -3*2*sqrt(3025)))\/(sqrt(25)\/(sqrt(5) - (5*sqrt(10)\/sqrt(2) - sqrt(5)))).\nAnswer: -198*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 216248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -47*c**2 + 21*c**2 + 5*c**2 + c**2 + c**2 - 3*c**2 + (3 + 2*c**2 - 3)*(-2 - 4 + 5) + 3*c**2 - c**2 - 4*c**2 + 2*c**2 - c**2 + 0*c**2.\nAnswer: -25*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 10*x + 2. Let m(w) = -w**2. Determine m(v(s)).\nAnswer: -100*s**2 - 40*s - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -2*h - 11, 4*h + 0*h + j - 5 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of 277*n**8\/336 - 109*n**4\/24 - 16*n**2. Find the second derivative of r(d) wrt d.\nAnswer: 5540*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 30\/(-20)*(-4 - -2). Let i(u) = 12*u - 3. Determine i(k).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 - 2*m + 1. Suppose -12 = -4*d, -2*d = -4*q + 2*q - 4. Let k(c) = c**2 - 3*c**2 + q - 11*c - 3 + 14*c. What is 2*k(o) + 3*z(o)?\nAnswer: 2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15486, -30711, -45934, -61155, -76374, -91591?\nAnswer: -106806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r + 1. Let d be t(-13). Let p be d\/(-30)*-5 - (-2)\/(-6). Let l(i) = 10 + 5 - 14 - p*i. Determine l(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 3:02 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c - 7. Let j be t(7). Suppose 0*u + 9*u - 648 = j. Let z = -51 + u. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u - 57686 = -4*u + 248314. Round u to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9.37 - 147.23. Let d = 157 + c. Let m = -0.2 - 0.3. What is the biggest value in m, d, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*27*(-3)\/(-9). Let r(c) be the third derivative of a*c**2 + 0 + 1\/24*c**4 + 0*c**3 + 0*c. Let t(y) = -11*y**2. Calculate t(r(f)).\nAnswer: -11*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yx when two letters picked without replacement from xexxyeee.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3*(sqrt(2106) + sqrt(2106)*-1) - (sqrt(2106) - (sqrt(2106) + sqrt(2106)*1 + sqrt(2106)))*-1)\/(-6*(sqrt(200) - sqrt(200)*2) - -4*sqrt(200)*1).\nAnswer: -5 - 9*sqrt(13)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - -18. Let g = t + -24. Solve 2*s + 3*x - 1 = 0, 0*s - g*x - 8 = -3*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9624*s**2 + 9665*s**2 - 19373*s**2.\nAnswer: -84*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -4, -1\/3, 7\/3 in ascending order.\nAnswer: -4, -1\/3, 0.5, 7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 12 = -l. Suppose -80*i + 81*i + 25 = 5*h, 13 = 2*h - i. Calculate the least common multiple of l and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2 + 5 + 3*w - 9 - 9. Let p be f(7). Let h(v) = 4*v**2 - 2*v - 3*v - p - 782*v**3 + 783*v**3. Calculate h(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 420 and -1*(-2 + -5) + 203?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3038, 24081, 81134, 192203, 375294?\nAnswer: 648413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*p**2\/7 + 1729272*p\/7 + 124599235416\/7.\nAnswer: 6*(p + 144106)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0499 - -0.2501. Let r = 0.207 + -0.107. What is the second smallest value in r, v, -1\/17, -2\/11?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-4 - -5) - (8 + -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.386519 and 0.8.\nAnswer: -0.3092152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-247234)\/(-3108) + -72 + (-10)\/14.\nAnswer: 41\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 471.6 - 470.2. What is the fourth biggest value in -2\/13, -2, j, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(-3)))\/z**(-1\/9)*z\/z**(-1\/6)*z**(-2\/3)\/z*z)\/(((z**(-4)\/z)\/z**(1\/2))\/(z**(1\/2))**(6\/7)) assuming z is positive.\nAnswer: z**(601\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7777081 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(2\/43)*s)\/s**(3\/4)*(s*s*s\/s**(-19))**28)**(-22) assuming s is positive.\nAnswer: s**(-1167925\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*x - 6 = 0, 2*x - 3 = -h + 7. Suppose 3*i - 23 = 22. Calculate the smallest common multiple of i and 30\/90 - (-124)\/h.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 4*y + 0*y)*(-2 + 2 + 2)*(-4*y + 5*y + y) + (-7*y - 4 + 4)*(-2*y + 3*y + 3*y).\nAnswer: -40*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 421 + -456. Let k be (15\/(-9))\/(z\/378*3). Solve 10 = 4*v - k*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.27 and -2.\nAnswer: 0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -419.9999128 - -420. Round z to six decimal places.\nAnswer: 0.000087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -y**4\/24 + 41*y**3\/9 - 1258. Factor n(o).\nAnswer: -o**2*(o - 82)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 915 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**2 + 13. Let i be n(0). Calculate the highest common divisor of 117 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -5*v - 5*g, 3*v + 2*g = -2*g + 46. Calculate the lowest common multiple of 4 and v.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4597*q + 11522*q - 348461 - 365749 = -10080*q for q.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l + 17*l = 4. Suppose 0 = 3*v + f - 9, -5*v = -l*v - 4*f - 16. Let u be (-5)\/(-35) + (-110)\/(-14). What is the highest common divisor of u and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74*(22\/(-209) - 368\/(-608)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3391672732.\nAnswer: 2, 7, 107, 1132067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-782)\/112 - 65664\/(-9576)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*-21*1\/1. Let s = -63 + 92. Let y = k + s. 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 s(v) = v**2 + 2*v - 1. Suppose -4*r - 108 = -96. What is the remainder when (-15 - -2)*(r - -1) is divided by s(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 44*u**4 + 19*u**2 + 4 - 26*u + 145\/2*u**3 + 8*u**5 = 0.\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1*(-1 - -23)*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 229, 221, 201, 163, 101, 9, -119, -289?\nAnswer: -507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - r - 60439 = 74221, -f - 2*r - 33672 = 0. Let y be (-16 - -21)*f\/(-10). Suppose -4*l = 2*a + 2*a - y, -l + 5*a + 4226 = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/2 - (-7256)\/42. Let s = j - 1102\/7. Calculate the common denominator of s and 19\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.07221 - 0.00785. Let r = 4 + -3.92. Let q = r + m. What is q rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 230 = -5*j, 0 = 4*j - 7*j - 3*r + 117. Let o(h) = -4*h**2 + 6*h**2 - 3 + j*h - 40*h. What is the units digit of o(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 261 + -240. Let d be 6 - 2 - w\/9. Find j such that 10\/3*j**2 + 0 - 25\/3*j**3 - d*j**5 + 20\/3*j**4 + 0*j = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 245436 and 4746.\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: 8.731603*2.2\nAnswer: 19.2095266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -257 + 369. Let p = 333 - b. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82964.74 centimeters in micrometers?\nAnswer: 829647400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/15 (b) 0 (c) -3 (d) -874878\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 5:53 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 17935*-0.3\nAnswer: -5380.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -4\/49, 2\/279, 0.5, -12?\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (-2 - -2))\/((-1)\/5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, c: 2, t: 2, b: 1, h: 2}. Give prob of picking 1 h, 1 t, and 2 c.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 134991911*v**4 + 1408977*v + 21.\nAnswer: 1619902932*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 82, -1\/14, 2\/19 in decreasing order.\nAnswer: 82, 2\/19, -1\/14, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.2 (b) -2\/17 (c) 1\/7 (d) -331\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10350 + 1?\nAnswer: 10351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 109*d - 316. Determine m(7).\nAnswer: 447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6}. What is prob of picking 2 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -45 divided by 452337\nAnswer: -15\/150779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-4) - (-4)\/((-80)\/9845). Let w = q + 537. Which is smaller: w or 47?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41089815 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 4. Let r = y - -2. Let o = 11 - r. Solve -o*p + 16 = -2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/2 and (-33)\/88 + 379\/(-24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 5:08 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 5*m = 852. What is the remainder when 117 is divided by 7\/3 - 2 - m\/18?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.25 - 3.75. Which is the biggest value? (a) v (b) 2 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24221117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 20*h**2 - 19*h - 5. Let z be r(-19). Let p(q) = q**3 + 6*q**2 + 4*q - 3. Determine p(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(144)\/(sqrt(12)\/sqrt(2)*3))\/((sqrt(54)\/(sqrt(9)\/sqrt(3)))\/(sqrt(6) - -3*sqrt(24))).\nAnswer: 28*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*-3*(-1)\/(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 173? (a) -4\/3 (b) -225 (c) 78 (d) 4\/5 (e) -4 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of 5*q**4\/6 + 67*q**3\/6 + 31*q**2 + 2*q. Does 9 divide m(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, f: 4, e: 11}. Give prob of sequence effe.\nAnswer: 11\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 2*y**2 + y. Let i be z(2). Suppose -4*w + 60 = w + i*t, 3*w - 2*t = 52. What is the remainder when w is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wvvv when four letters picked without replacement from vvwvrbbvrrbrbvf.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/6*(-2 - 4). Let d be -4397 - (t + (5 - 4)). Round d to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3303580235.\nAnswer: 5, 587, 1125581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 442359\/(-153864) - 271\/(-40)?\nAnswer: 39\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 4:09 PM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o**2 - 24*o - 3. Determine t(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -6.7. Let o be 4\/(-4 + 16)*(-1 + 7). Which is the closest to f? (a) -0.1 (b) 4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/165 and -32\/75.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2. Let u(b) = -29656*b. Give f(u(r)).\nAnswer: 879478336*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(3 + 0 - 1)*(0 - 1 + 0 + (0 + 5 - 3)*(-1 - 4 + 3) - 4 - 2 + 7 + 5 - 3 - 3)*(-46*z - 211*z - 13*z).\nAnswer: 2700*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000381 rounded to 7 dps?\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 16\/9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43794 by 6.\nAnswer: 7299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 smaller than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -91 + 250. List the prime factors of x.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5\/s)\/s**(-4\/3)*(s*s**(2\/7)*s)\/((((s**7*s)\/s)\/s)\/s) assuming s is positive.\nAnswer: s**(55\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.9? (a) 4 (b) 1\/3 (c) 0 (d) -0.3 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53323 (base 7) to base 16.\nAnswer: 338e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -197\/19747770 and 31\/11848662?\nAnswer: 59243310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -40 + (-1 - 6) + 48?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 5*q**2 + 3*q - 3. Let d be l(5). Suppose -d*r = -11*r. Suppose 2*j - 15 = -2*j - 3*f, -f - 3 = r. Is 5 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(13\/3)*d*d)**(2\/23) assuming d is positive.\nAnswer: d**(50\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/(4140\/3645) - -21\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7 and -18.3?\nAnswer: 11.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13063296 and 272152.\nAnswer: 13063296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -2, 0.3, -6 in ascending order.\nAnswer: -6, -4, -2, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 16 - 12. Let x(d) = -3 + 5 - q*d - 11 + 5*d. Let a be x(13). Solve 3*m + 3 - 19 = 2*f, 0 = a*f + 2*m + 16 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddd. Give prob of picking 2 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -1175*m - 5. Let d(x) = -2357*x - 9. Determine 3*d(k) - 5*q(k).\nAnswer: -1196*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20257 + 20253. What is the smallest value in -5\/6, 1\/11, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 9:51 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w**2 - 2*w**3 - 2*w - 2 + 0*w**2 + 2*w**2 + 3*w**3 as h*w**3 + l*w + j + t*w**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-6)*(-111)\/8325*2565.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 2*h**2 - h + 2. What is r(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q + 97*j - 102*j + 5, -5*q + 4*j = 8*j - 15 + 2 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 6000625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 3*c + 2*x + 7, -c + x = -12. Suppose -3*t - 147 = -6*t. Calculate the remainder when t is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**5\/5 - 594*q**4\/5 + 11452*q**3\/5 + 38544*q**2\/5 + 26496*q\/5 = 0. What is q?\nAnswer: -2, -1, 0, 24, 276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 687567 (base 14) to base 4\nAnswer: 31203303313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.14 - -1.0408. Let p = -0.0553 - s. Let q = 0.048 - p. What is q rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven eighths of a centimeter?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13 - -8)\/1)\/(-2 + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50973 is divided by 3185?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 2*v - 7)*(9 - 14 + 6).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(792) + 1*sqrt(792))\/(sqrt(2) + (sqrt(22)\/(sqrt(11) - sqrt(176)) + sqrt(2) - sqrt(2)))*-3)**2.\nAnswer: 32076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 2430.25 milligrams?\nAnswer: 0.00000243025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, a: 11}. Give prob of picking 2 n.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 432963?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 2286200\nAnswer: -1\/1143100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 14, 3, -2 in descending order.\nAnswer: 14, 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/2)\/l*l**9*l**(2\/11)\/(l*l**(-4)) assuming l is positive.\nAnswer: l**(257\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1040 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49678, 49891, 50104, 50317, 50530?\nAnswer: 50743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 21.5. Let i = z + 0.5. What is the second biggest value in 4, -0.3, i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1896 - 1896.4. Which is the smallest value? (a) -357 (b) -3 (c) 4 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1050200, 1050205, 1050210, 1050215, 1050220?\n\"Answer: 5*b + 1050195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1ac + 5?\nAnswer: 1b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + -33. Let i be (2\/(-6))\/(o\/18). Sort i, 1\/4, -7.\nAnswer: -7, 1\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -170, -1506, -5088, -12038, -23478, -40530, -64316?\nAnswer: -95958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -1\/4, -0.5, -70, 0, 2 in descending order.\nAnswer: 2, 2\/9, 0, -1\/4, -0.5, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-24)*(-1472)\/(-96)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 4:22 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 214 (base 5) to base 6\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.822601 millennia to years.\nAnswer: 9822.601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 5 = 7*m. Solve -20 = 4*h - 4, q + m*h = -22 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3 = 1. Suppose 3 = y*m + 1. Find the second derivative of 1 + 5*l + 0 + 5*l**2 - m wrt l.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -418488 > -419350?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 42046771 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.15 (b) -38 (c) 3\/5 (d) 3 (e) 33\/4 (f) 1\/3 (g) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p - 2 + 6*p**2 + 2.\nAnswer: 6*p**2 - 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 67098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -9*94\/((3 - 4)*2). Calculate the greatest common factor of 47 and s.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1992304, -3984607, -5976910, -7969213?\n\"Answer: -1992303*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 106041 (base 8) in base 12?\nAnswer: 18915","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*t = 4*o + 62, 2*t = 5*o + 60. Let y = o + 40. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 19.68.\nAnswer: -98.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 0.5, -0.3, -1.1, -0.2, 42?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124515 is divided by 490?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 27, -2\/13 in descending order.\nAnswer: 27, 1, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 1141*z + 34246. What is n(-30)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1084632, 1084626, 1084616, 1084602, 1084584?\nAnswer: 1084562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7345 is divided by 93.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, -5, 0.7, 1013, 3, 6 in increasing order.\nAnswer: -5, 0.04, 0.7, 3, 6, 1013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u - 3*u**2 + 2*u)*(-6 + 3 + 2)*(7*u + 2 - 2)*(u + 3*u - u) to the form o*u**4 + i + c*u**2 + n*u**3 + t*u and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from ttpppttttppp.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(125) - (2*sqrt(125) + 3)) + sqrt(125) + -4*(sqrt(125)*1)**2 - ((sqrt(125)*1)**2*3 + -1 + sqrt(125) + -2))*1.\nAnswer: -4375 - 25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*n**3*o**2 - 2*n**3*o + n**3 - n**2*o**2 - 434*n**2*o - 62*o**3 - 2*o**2 - o wrt o.\nAnswer: -52*n**3 - 2*n**2 - 372*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 15, 1, 4.\nAnswer: -2, 1, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and -166.732583373289.\nAnswer: -166.832583373289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 111 and 13875.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*r**5 + 1860*r**4 + 27208*r**3 + 117792*r**2 + 30976*r - 61440 = 0 for r.\nAnswer: -48, -10, -8, -1, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/12*1 + (-384861)\/(-18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22\/53 or -92.7?\nAnswer: -22\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 943, -1\/2, 0.3304?\nAnswer: 0.3304","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57117832.99867 - -57118080. Let p = f + -247. Round p to 4 dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*w - 103*w - 79*w - 37*w.\nAnswer: -240*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r - 9. Let v be k(-9). Suppose -5*s + 2*s + 9 = v. Let x(c) be the second derivative of -c**5\/20 + c**4\/6 + 3*c**2\/2 - 765*c. Give x(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*w**2 - 7 + 7 + (w + 2 - 2)*(-106 + 41 - 42)*(3 - 3 + 2*w - 2) in the form u*w + k*w**2 + h and give u.\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187345 is divided by 187338?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*j**2 - 596*j + 194*j + 203*j + 198*j.\nAnswer: -36*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -14. Solve r = -5*n + 14, 3*r + o*n - 7 = 13 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 7 = l, 3*l + 4 + 3 = 4*u. Let j(z) = z**4 + 1. Let o(w) = 2*w**5 - 3*w**4 - 2*w**3 - w**2 - 4. Let s(n) = u*j(n) + o(n). Factor s(f).\nAnswer: f**2*(f - 1)*(f + 1)*(2*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (5 + -6 + -8) - 8) + -7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -79, -318, -715, -1270, -1983?\n\"Answer: -79*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 72532.11ng in kilograms?\nAnswer: 0.00000007253211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + -37 + 864\/24?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27197*c*k**2*s + 73*c*k**2 - 2*c*s + c - 2*k wrt s.\nAnswer: -27197*c*k**2 - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -5540041134?\nAnswer: 5540041141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2))\/(1\/(66\/(-55))).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 97*b + 83 - 762 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 6*u**2 - 8*u - 8. Suppose -r = 6 + 1. Let b be t(r). Let o(x) = 2*x + 10. Let n(w) = 1. Calculate b*o(z) + 8*n(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmpvxpxqpxmv. Give prob of sequence mx.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 13*c + 44. Let i be o(-7). Suppose -i*y = -5 - 3. Solve -5*v + 2*k = -0*k + 10, 0 = -5*v + y*k for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30468 + -30468.156. Let a = -0.06 - 2.94. What is the smallest value in z, a, 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15678 is divided by 218.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*x + 189*x + 388 = 0. List the prime factors of x.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 508 divided by -508\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31406 and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 652934297?\nAnswer: 19, 59, 582457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 4:11 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3126?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u**3 - 8202*u**2 + 49 + 8*u**3 - 2034*u**2.\nAnswer: 2*u**3 - 10236*u**2 + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 93*h + 22. Let g be c(-3). Let q = 259 + g. Solve 0 = 4*z, q*b + z = -z for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b**3 - 8*b - 8. Let v(h) = 855*h**3 + 7*h - 2*h + 2 - 858*h**3 + 3. Let n(t) = -2*t - 53. Let a be n(-24). Give a*l(p) - 8*v(p).\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 3:26 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2209808 to two decimal places.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 939 is divided by 235?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - 38\/(-4)) + (-1)\/(-2). Let d(k) = 4*k**2 - 6*k**2 - m*k + 5*k**2 + 7 - 14. Let r(j) = j**2 - j - 1. Let u(x) = -d(x) + 2*r(x). Calculate u(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (50\/124*8\/(-40))\/(-21*(-3)\/126)\nAnswer: -5\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -371820844*y**2 - 371821064*y**2 + 743641903*y**2.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-4845)\/(-323)*4256\/570\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-2)*(-327)\/436)\/(93\/(-1612))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from siiclilclesa. What is prob of picking 1 e and 1 a?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -154*a + 604, a + 0 = 10 - 6 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-5\/7))**(-45\/2) assuming p is positive.\nAnswer: p**(-270\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -145\nAnswer: 2\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 + -1. Let g be (36\/(-8))\/(6\/(-16)). What is the highest common factor of g and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/2 + (-2)\/4. Let v(q) = q**2 + 5*q + 6. Let p be v(f). Suppose 2*k = 2*x, 2*x + 20 = 4*x + p*k. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 66*t**3 + 1394*t**2 + 169*t + 27. What is k(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -635882.57 rounded to the nearest 10000?\nAnswer: -640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 12*h - 1037. Let t be a(87). Suppose r - 1 = 3*r + q, -4*r - 17 = 5*q. Solve 5*n - 3 = r*z, t*n - 3 = 4*n for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and 42.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.574 - -1.274. Let c = -10 + 7. Suppose 2*u - y + 10 = 0, 11*y = 3*u + 6*y + 22. What is the smallest value in p, c, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8023224 - 0.556.\nAnswer: -8023224.556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -199 - -200. Let x(r) = -p + 5 + 4 + r - 5. Determine x(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/1*1 - -16. Suppose -n = -5*j + d, -2*j - 4*d - 16 = -4*j. What is the units digit of (2\/j)\/((-2)\/(-46))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 7:10 AM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**4 + 20322*l**3 + 668632*l**2 + 1863672*l + 1215360 = 0.\nAnswer: -10128, -30, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**3 - m**2 - 3. List the prime factors of c(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80634221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 6:49 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326598?\nAnswer: 2, 3, 29, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 + (55 - (165 + -37)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51.6128 + 47.329. What is j rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.710813714 rounded to 1 decimal place?\nAnswer: 15.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 (base 14) in base 8?\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -207*w - 3*w**2 + 117*w**3 + w**4 + 4*w**2 - 117*w**3 in the form h*w**2 + f*w**3 + l + y*w + q*w**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -h**4\/28 - 4*h**3 + 558*h**2\/7 + 3572*h. Find t, given that s(t) = 0.\nAnswer: -62, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/666 and 61\/296.\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11\/(55\/860)*88\/32. Calculate the highest common divisor of 22 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24.8 smaller than 1009.198?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*m**2 + 0 + 0 - 5*m**2.\nAnswer: 67*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3430 - -3425. What is the fourth biggest value in z, -12, 2, -1, -1\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -4*z + 16, 4*z + 2*u - 7 = -3. Suppose 5*t - 5*f - 962 = 663, -652 = -z*t + 3*f. What is the remainder when t is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241*f - 235*f = 42. Let x(r) be the third derivative of 1\/525*r**f + 0*r**4 + 0*r**6 - 2*r**2 + 0 + 0*r - 1\/75*r**5 + 1\/15*r**3. Factor x(v).\nAnswer: 2*(v - 1)**2*(v + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x - 66 = 220. What are the prime factors of (3 - x\/(-6))*-111?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51398762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380 is divided by 35.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 206 (base 15) to base 13.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -54 - -79. Let d(p) = -p**3 - p**2 + p + 1. Suppose 0*q - 2*q = 0. Let k be d(q). Solve -2*r = j - 0*r + k, 2*j - 5*r - x = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-14)\/(-7) - 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -9, 6\/113?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0.4, -0.267 in descending order.\nAnswer: 6, 0.4, -0.267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -b**2 - 1\/3*b**3 + 22*b - 5. What is the units digit of v(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.66 - 0.34. Let t = 13.3 + p. Let j = -224 - -226. Sort j, 1\/2, t in descending order.\nAnswer: j, 1\/2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*d**4*r**2 - 10414*d**4 + d**3*r**3 - 3*d**2*r**3 - 542874*d**2*r - 2*d**2 wrt d.\nAnswer: 624*d*r**2 - 249936*d + 6*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -5*j. Let q(r) = -2*r. Let y be 3\/1*(-6)\/3. Let s(n) = y*v(n) + 14*q(n). Let z(c) = -19*c + 1. Determine 18*s(b) + 2*z(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.6496085 rounded to the nearest integer?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at least as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (19\/(-5) - (-80)\/100) + -2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -1503*s - 257. Let b be g(-5). Suppose 4*v + b = 2*u, -2*v = 2*u - 2432 - 4844. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 5610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 5 + (6 - 13)\/7. Let n be (1 - -3)*2 - h - 4. Solve -2*o - n*o + 16 = b, 0 = 5*b - 20 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 16633, 16657, 16681, 16705, 16729, 16753?\n\"Answer: 24*r + 16609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 5, 4, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-21)*31\/279?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 137575\/17 + -8089. Which is bigger: 5 or u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**4 - 30 - 11*l - 80 + 8*l - 48 - 2*l**3 as d*l**3 + g*l**4 + t*l + v*l**2 + c and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (5 - (21 + -13))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.45 and -1?\nAnswer: 2.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 + -15. Let p = l - 11.9. Let b = p + 0.90000009. Round b to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -1 (b) -33 (c) 78.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a**3*g*j - 82*a**3*g + 5*a**2*g - 308*a*g*j + 2*a*g - 2*j wrt j?\nAnswer: -a**3*g - 308*a*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1492531*t*w**3 - 56818*w**3 - w**2 + w - 2 with respect to t.\nAnswer: 1492531*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4efc2 (base 16) to base 11\nAnswer: -201081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 122505 - 122500?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 110 - 114. Let w(d) = d**2 + 8*d + 3. Let p be w(-8). Put p, s, -4, 4 in decreasing order.\nAnswer: 4, p, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 278049931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -27*k**3 + 1481*k**2 + 290*k - 3863. Calculate b(55).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -99 + 101. Let n be ((-6)\/(-5))\/y*(-21 - -26). Suppose w + 3*z - n = -z, -4*w + 3*z = 7. Which is smaller: 3\/10 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 15. Let j = -15.01 + 545.01. Let v = j + -534. Put v, i, 2 in ascending order.\nAnswer: v, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1911, 6395, 13869, 24333, 37787, 54231?\nAnswer: 73665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 138 + -1?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1402 (base 5) to base 12\nAnswer: 16b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a**2 + 5 - 51*a + a**3 + 46*a + 0*a**3. Let d(s) = -2*s**3 + 5*s**2 + 11*s - 9. Let k(c) = 4*d(c) + 9*t(c). Determine k(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20860853?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 284 - 287. Is (3271*(-5)\/(-15))\/((-1)\/i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a*a\/a**(2\/77))*a**(-10\/9))**35 assuming a is positive.\nAnswer: a**(-10690\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 9*x**2 + 14*x + 7. Let m be h(-7). Let t(o) = 4. Let p(q) = q - 13. Calculate m*t(b) + 2*p(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.85, 2, -2, -3, 6, 22?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 982835327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -984601 to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -399*a**3*i - 200*a**3 - 65*a**2*i + 2*a*i - 727*a wrt a?\nAnswer: -2394*i - 1200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5*y + 5. Suppose -7*h + 2*h + 54 = 19. Let r(j) = 16*j + 16. Determine h*k(i) - 2*r(i).\nAnswer: 3*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (9 + 4 + -5 + -2)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15937202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 829474, 829476, 829478?\nAnswer: 829480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -375466 divided by -3?\nAnswer: 375466\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkqaajaqka. What is prob of picking 2 k?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g**2 + 3*g**2 + 4*g**2)*(4 - g - 4) - 2*g**3 - 2*g**2 + 2*g**2 + 2*g**3 - 4 + 4 - g**3 + 132*g - 132*g.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + -16. What is w in -6*w**2 + i*w**2 - 2*w**2 + w**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + 141.4.\nAnswer: 141.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -95186.995 - -94972. Let h = p + 213. Let u = h - -2. Round u to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168754 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12533?\nAnswer: 83, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 3*d + 4, 2*u + 2*d + 6 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 197505 and 3402?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - 1. Let o be r\/(-2) - 2\/4. Let p(w) = 8*w**2 + 106*w + 30. Let j be p(-13). Solve 7 = h - 3*s, -o*h + 38 = -j*s + 14 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3639 (base 15) to base 11\nAnswer: 8731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2*62\/(-3906) + (-6576)\/(-7182)\nAnswer: 18\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 126, 57, -210, -753, -1650, -2979, -4818?\n\"Answer: -13*q**3 - 21*q**2 + 85*q + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 8*c**2 + 8*c - 3. Let i be p(7). Let g(t) = -2*t - 5 - 2*t + 4*t + 7*t. Is g(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 30*p + 0*p + 0*p - 21. Let w be ((-8)\/52 + (-180)\/351)*3. Let s(j) = -3*j + 2. What is w*x(u) - 21*s(u)?\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2265*k**2 + 1 - 2*k - 3*k + 1 + k + 2387*k**2 in the form g*k + u + i*k**2 and give i.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -27618201, -55236400, -82854599, -110472798?\n\"Answer: -27618199*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 - 25.1. Let d = 25.5 - 22.4. Let h = d + s. Which is the biggest value? (a) 0.2 (b) -2\/5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1062, 2127, 3192, 4257, 5322, 6387?\n\"Answer: 1065*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -159*l - 18900. Determine o(-120).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w - 7. Let a be f(-5). Suppose 11*y - a = 8*y. Let t(i) = i**3 + 4*i**2 + 2*i + 4. Let n be t(-3). Solve -y = -3*m - n for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 2. Suppose a = -2*x + 13 + 157. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18066, -36174, -54290, -72414, -90546?\nAnswer: -108686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -44, -55, -88, -155, -268, -439?\n\"Answer: -2*w**3 + w**2 - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -10 - 15. Let q(m) = -4*m**2 - 9*m + 45. Let v be q(-7). What is the remainder when 5\/((-20)\/v) - 3 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 2*i + 3. Let u be m(-3). Let q = 3 - u. Is -37*1*(2 + q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-480)\/(-1600))\/((-9)\/6))\/((-51)\/10)\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4601688504711 - 0.4?\nAnswer: -4601688504711.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.4 - 1.2. Let q = u - -0.8. Which is smaller: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 5\/24*m**4 + 6*m**2 + 0*m**3 + 0*m + 0 - 1\/15*m**5. Find the second derivative of q(p) wrt p.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 1878 + 12232 = 4*k. Does 6 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 1:11 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c**2 - 2*c**2 - c**2)*(16 - 2*c - 16)*(2 + c + 0 - 3*c) to the form x + d*c**4 + s*c + u*c**2 + t*c**3 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -3\/4 (b) 2\/11 (c) -2\/5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -66036151 (base 7) to base 2\nAnswer: -10101100100111110110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/3)\/((-6)\/(-354)). Suppose 54*n - a*n = 0. Solve -3*u - u = n for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7349, -29299, -65851, -117005, -182761, -263119, -358079?\n\"Answer: -7301*q**2 - 47*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 2:41 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 5*a - 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 t when three letters picked without replacement from ttfzzmzxzzztzm?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of c**7\/21 - 13*c**5\/15 - 179*c**3\/6 + 966*c**2. What is the first derivative of p(z) wrt z?\nAnswer: 40*z**3 - 104*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 183.838714221 + 0.161297879. Let v = u - 184. Round v to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5 = -3*x - 0, 4 = -4*x + 4*m. Let h be (-5)\/(20\/6)*(-4)\/x. Solve p - 5*c = 11, c - 11 - h = 4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98280, -98288, -98296, -98304?\nAnswer: -98312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7563792 = 33*f + 2731041. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0*n - 2*n - 10 = 0, 4*a - 20 = n. Let l be (12 - -3)\/a - 0. Suppose l*c - 8*c - 1 = 4*s, s = -3*c + 5. Put 1, 3, s in ascending order.\nAnswer: s, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + -9 + 20 - (-1 + 3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (2 - (-5 + 3)) + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26 or -256848\/7?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1800151, 1800147, 1800139, 1800127, 1800111, 1800091, 1800067?\nAnswer: 1800039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16571 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 62874118 to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*i**2 - 265*i**2 - 3 + 37*i - 223*i**2.\nAnswer: -551*i**2 + 37*i - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 + -48. Which is the closest to t? (a) 0.2 (b) 0.1 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 360 = 5*y - 8*y, y - 110 = -3*s. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -21*c**2 + 65*c - 46. Give f(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/96)\/((-3)\/(-48)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1239\/(-708))\/((-1)\/52)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 58 in 4\/37, -3\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.0170013 and 5.\nAnswer: -10.0850065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43449481 by 12.\nAnswer: 43449481\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.47 and 9.\nAnswer: 4.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93087838?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5803068?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(-8\/7))*j)\/j)\/(j\/(j*j**(3\/5)))*j**(-6)\/j**(-24) assuming j is positive.\nAnswer: j**(691\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0579 rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2646947 < -2646947?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 7*c - 2*i + 34 = 0, -2*c - i + 13 = 0. Calculate the smallest common multiple of 11 and c.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237*n - 1209261 = 106*n. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 10*d. Let b(p) = -5*p**2 + p**2 + 2*p**2. Calculate b(t(c)).\nAnswer: -200*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -9*x**2 - 2*x - 2. Let n be k(4). What is the units digit of 1*-5 + (5 - n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(sqrt(8) - (-5*sqrt(64))\/sqrt(8)).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54585203 and 248.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 11*z**2 - 6*z + 6. Let k(c) = -11 - 9 + 22 - c. Let b be k(8). Let l(s) = -4*s**2 + 2*s - 2. Calculate b*o(d) - 17*l(d).\nAnswer: 2*d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k**3 - 24*k**2 + 48*k - 16. What is s(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 956*a + 326. What is the ten thousands digit of c(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -364489 at least -363354?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u - 4. Let l be (-342)\/(-30) + 4\/(-10). Let z be n(l). Let g = z - -47. Is 21 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 3*s**4 - 1491*s**3 - 410943*s**2 + 4242651*s - 3830220 = 0.\nAnswer: -205, 1, 9, 692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1)*h*h)\/h)**(10\/7)\/((h*h\/(h**(3\/4)*h))\/h**(-1\/7)) assuming h is positive.\nAnswer: h**(-11\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63358041.\nAnswer: 3, 1931, 10937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -244143 (base 6) to base 10.\nAnswer: -21663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 10.3, -4, -369, 47, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1493 + -1492.9087. Let y = i - 0.098. Round y to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 + -0.5. Let k = -10.5883 - -10.3283. Put r, k, -0.5 in descending order.\nAnswer: r, k, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 766404.9 meters to micrometers.\nAnswer: 766404900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1963*q**2 + 2*q**3 - 1963*q**2.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 24 = -5*v. Let i be 20\/35*(-21)\/v. Which is the closest to 2\/7? (a) 0.5 (b) -22 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10b + 4ab?\nAnswer: 5ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.49 - -1.21. What is z rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-161 + 22 + 26 - 102)*(-20*y**5 - 54*y**4 + 54*y**4) + 2*y - 2*y + y**5.\nAnswer: 4301*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24019?\nAnswer: 24019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3748257, -3748261, -3748265, -3748269, -3748273, -3748277?\n\"Answer: -4*g - 3748253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/6 (b) -4 (c) -7 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (11 + -10 - 11).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w = 732 + 126. Let g be (-1)\/(-4)*w*2\/3. What is the greatest common divisor of 1 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -556*b + 397*b + 270*b - 1122*b - 1251*b in the form o + m*b and give m.\nAnswer: -2262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 93*x**3 - 13*x**2 - 13*x + 64. Is u(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10 + (-38986)\/3 - (-8)\/(-12). Round y to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 53497*i + 160741. Calculate v(-3).\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - -3*sqrt(112)) + (sqrt(7) - -1*sqrt(7)*4))**2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 84*z**4\/11 - 20334*z**3\/11 + 521244*z**2\/11 - 3560424*z\/11 + 251664\/11 = 0.\nAnswer: 1\/14, 14, 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-26)\/10 + -2 - (-2)\/(-5). Let h(v) = -v**3 - 4*v**2 + 4*v. Let t be h(a). Solve 9 = x - 6*n + 2*n, -t*n = 4*x - 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/1014 and 28\/39489?\nAnswer: 13347282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -1 + 11 + (-16 - -8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y + 11. Let b be d(-6). Suppose -3*v + 35 = b*j, -2*v = -j - j - 2. What is the third derivative of 8*t**j + 7*t**2 - 3*t**4 - 8*t**4 wrt t?\nAnswer: -72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -3*o - 6, -6*d + 4*d = 0. What is the units digit of (o - -3)\/((4\/(-38))\/(-2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3014496, 6028996, 9043496, 12057996, 15072496, 18086996?\nAnswer: 21101496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 29195*u - 1926906. What is n(66)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4488 - 13585 = -31*t. What is the highest common divisor of t and 159?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t + 2*t - 2*t + (0*t + 2*t - 10*t)*(4 - 5 + 5) in the form n + w*t and give w.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153*z**3 - 288*z**3 + 151*z**3.\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 21*v**2 + 74*v - 18. Let i be n(-10). What is the highest common divisor of 95 and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-42)\/56)\/(6\/(-32)) + -2. What is the second derivative of -149*p - 3*p**3 - 7 + 0 + 139*p + 3 + 34*p**m wrt p?\nAnswer: -18*p + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13963*u - 27933*u + 13968*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, q: 1, x: 2, e: 7, w: 3}. Give prob of picking 2 x.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -4 (b) 0.07 (c) -0.97 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 + 17 + 2 + 0\/11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/3 - 118\/(-6). Suppose 0 = 5*x - m. Solve -o - 3 + 7 = y, x*y = 5*o - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o + 11. Let g be u(7). Suppose -4*k = f + 12, -3 - 23 = 5*k + g*f. What is the units digit of (-6 + k\/(-1))*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 9 + 0)*(-28*x - 41*x - 4*x)*(-4 + 2 + 5) to j*x + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2490 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: Is 215105719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h\/h**(-3\/8))*h**(-1\/25)*(h*h**(-4\/11)\/h)\/(h\/(h**(-4\/11)\/h*h)) assuming h is positive.\nAnswer: h**(-4713\/2200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2 + 139*z + 284. Let q be l(-2). Let h = -17.82 + -0.18. Let k = h - -21.4. Is k > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1b0a09 (base 14) to base 4\nAnswer: 3222331001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -z**6\/120 - z**5\/20 - z**4\/8 - 7*z**2. Calculate c(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 956*b + 1455*b - 16875 = -964*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -58, 22, 14, -1, 0, -2 in increasing order.\nAnswer: -58, -8, -2, -1, 0, 14, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -289*((-2808)\/918)\/52.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165 divided by -3.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f. Let k(b) be the second derivative of -7*b**3\/6 + 4*b. Determine k(o(g)).\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 6 + 1. Let l = 17 - 12. Let j = 5.4 - l. Which is the biggest value? (a) j (b) n (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, d: 3, e: 10, y: 2}. What is prob of picking 2 d?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 76*g**6\/15 - g**4\/12 - 349*g**3\/6 - 2*g + 16. Find the third derivative of b(p) wrt p.\nAnswer: 3648*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21444?\nAnswer: 2, 3, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 4*r**3\/5 + 2052*r**2\/5 - 10336*r\/5 + 12432\/5 = 0?\nAnswer: -518, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y**3 + 0*y**3 - y**3 + (y**3 + 2*y**3 - y**3)*(2 - 2 + 2) in the form c*y**2 + r*y**3 + q*y + g and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 1\/14, 0.4 in decreasing order.\nAnswer: 0.4, 1\/14, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -133 + 298. Let m be i\/25 - (-3)\/(-5). Suppose 0 = -2*l + m + 4. Solve 0 = 3*f - 4*h + 18, -2*h = -l*f - 0*h - 16 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49799 divided by -140\nAnswer: 49799\/140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 2404*g**2 - 12 - 16 + 30 - g**3 as k*g**2 + w + l*g + d*g**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374455.\nAnswer: 5, 74891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/420 and (404\/(-20))\/(3 + 4 + -35).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111801345.\nAnswer: 3, 5, 31, 240433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -2*z + 1476, -4*h + 1488 = -z + 302. Suppose 5*n + 5*i - 750 = 0, -4*i + h = 11*n - 9*n. Does 18 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(sqrt(32)\/(-5*sqrt(4))) + 1 + -5*(sqrt(250)*4 + sqrt(250))\/sqrt(5).\nAnswer: -130*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 3, f: 1, w: 4, j: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 2*r + 27, 1 = 4*r + 2*l - 3*l. Let m(p) = -p**2 - 2*p + 10. Let d be m(-5). Put 0, r, d in ascending order.\nAnswer: d, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5236744517.\nAnswer: 439, 11928803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -89 + 8 - -135 - 99.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001992 to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.23 - -8.77. Let u = d - 5. Sort -6\/11, 0.1, u in decreasing order.\nAnswer: u, 0.1, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**2\/11 - 49541*t\/11 - 49542\/11 = 0. What is t?\nAnswer: -1, 49542","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1312 or 1310?\nAnswer: 1312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by -397.\nAnswer: -18\/397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**4 - 560*y**3 + 1656*y**2 - 1648*y + 548 = 0. Calculate y.\nAnswer: 1, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4741, -4589, -4427, -4249, -4049?\n\"Answer: p**3 - p**2 + 148*p - 4889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36.31 - -36. Let z = -0.21 - l. Let h = 1 + -0.9. What is the nearest to z in -1, -1\/5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-105)\/7 + (-360)\/12*(8 - (-76)\/(-12))\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14577369 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 6) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -8319 and -8319 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.53 - 0.33. Which is the closest to -8? (a) -1\/5 (b) -3\/4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 5670601.\nAnswer: -2\/5670601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208712*l - 208697*l - 208701*l - 208696*l + 1043474*l - 208670*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*q + 65*q + 37 - 28*q - 6*q**2 - 11*q.\nAnswer: -6*q**2 + 2*q + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 - 120*x**4 - 2*x**5 - 40*x**4 - 3354*x**3 - 6084*x**2 + 144 - 68 = 0.\nAnswer: -39, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4 + 1620*g**3 - 328050*g**2.\nAnswer: -2*g**2*(g - 405)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -82 greater than 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 3*i**2 + 4*i - 1. Calculate the remainder when x(2) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 35961765 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -23. What are the prime factors of s\/18 + (-7)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 405, 7, -4, 2\/3 in increasing order.\nAnswer: -4, 0, 2\/3, 7, 405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18066?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 14 + 15*y**2 to the form i*y + n*y**2 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 418, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -673874488*d**3 - 509386239 wrt d.\nAnswer: -2021623464*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*o**2 - 3*o**3 - 1 + 0*o**3 + 18*o**2 as f*o**3 + z*o + b + a*o**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8, -6, -14, -38, -84, -158, -266, -414?\n\"Answer: -w**3 + w**2 + 6*w - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 47 in -11\/9, 0.4, -1\/4, 1.5, -173?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zun. Give prob of picking 1 u and 1 z.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8886)\/(-12) + (-2)\/12*-3.\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (14 - 26) + 8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 722 and 16305515?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3\/5 - 2842566*d**2.\nAnswer: 3*d**2*(d - 4737610)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -11. Let m = -5.3 - w. Let h = 3 - 2.7. What is the closest to 2 in 0, m, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 5*c**2 + 11*c + 15. Let f be w(7). Let q be (4*f\/20)\/((-54)\/(-2340)). Let a = q - -210. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m**2 + 413*m + 15084. What is q(-30)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = i + 1, -3*w - 40*i + 1118 = 1373 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-3)*-15*12\/80?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304 = 5*r - 3*z, 0*r - r - 2*z + 53 = 0. Suppose r = 14*d - 15*d. Let a = -55 - d. Does 2 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-8))\/(27\/39) + 1084\/813\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 5*j**2 - j + 7. Let q be u(5). Suppose -4*w + q*w = -2*c - 34, 5*w = 4*c + 83. Solve -5*i = w, -9 = r - 0*r + 2*i for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/5 of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*a - 91*a + 7 = 4*i, -25*i - 77 = -9*i - 3*a for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) - -1*sqrt(130)) + sqrt(130))\/sqrt(10) - (sqrt(156)*2)\/sqrt(12) - 3*(sqrt(156)*2)\/sqrt(12).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 224 and 144.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g + g - 151 - 1469 - 340 - 1015 as y + z*g and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -284 + 2*l - 7*l**3 - 14*l**3 + 287 as z*l**3 + h*l**2 + u*l + y and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -134 + 139. Let g be (j + -5)\/((-2)\/(-2)). Which is the nearest to 6? (a) 4\/7 (b) g (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2685 + 322207\/120. Let y(f) be the third derivative of 0*f**4 + 0*f**3 - g*f**7 - 7\/120*f**6 - 2*f**2 + 0*f - 1\/60*f**5 + 0. Solve y(n) = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5366? (a) -0.3 (b) -1\/5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -4. Let m(l) = 3*l**2 - 4*l - 3. What are the prime factors of m(p)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 8*t**3 - 1. Let l = -23 - -24. Let z be h(l). Which is smaller: 6 or z?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 40\/(-15) + 0 - -6 - 4. Which is the nearest to 1\/3? (a) -1\/10 (b) -6\/7 (c) 0.4 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400844 is divided by 118?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 f when three letters picked without replacement from xxqrfgg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2. Suppose -5*x + 5*r + 5 = -3*x, 3 = 3*x - 3*r. Let k(w) be the first derivative of x*w**2 + 0*w + 2 + 4\/3*w**3. Calculate h(k(d)).\nAnswer: -32*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 + (-5640)\/(-280))\/((-7)\/27097*-7)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j - 3. Let q = 3 - 5. Let w(g) = 2*g + 3 + 4 - 3. Suppose 17*b + 34 = -17. What is b*l(u) + q*w(u)?\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1524 = -14*k + 2172. Calculate the smallest common multiple of k and 16.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 12) + 0 + 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**2\/4 + 99*h\/4 + 25 = 0.\nAnswer: -1, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -24 - 25 + 65 - 21 + 13*s. Suppose -39*l + 126 = -37*l. Suppose 9 = 4*h + 3*v - 48, l = 4*h + 5*v. Let i(b) = 32*b - 12. Calculate h*u(x) - 5*i(x).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*o + 422*o = 208*o - 57 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-200)\/15*(396\/8)\/(-3) and 132.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6207, 15906, 25607, 35310, 45015, 54722?\n\"Answer: g**2 + 9696*g - 3490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 2*t + 152, 13 - 5 = 4*t. Let o = -41 + s. Let d(j) = o*j + 7*j - 17*j. Let q(b) = -b**2. Give d(q(f)).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -k**7\/735 + k**6\/420 + 31*k**5\/210 - 61*k**4\/84 + 10*k**3\/7 - 43*k**2 + 12. Let l(r) = 0. What is r?\nAnswer: -6, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -86.077 - -78.23. Let z = c - -6.04. Let n = z - -1.806998933. What is n rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -441 + 204. Does 16 divide 8 - 4 - (2 - -5) - b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*i + 3*i + 3*i - i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*h + 10*h + 2376 = 0. Let l be (1 - (-2 + 2)) + 61. Suppose -56*u - h = -l*u. Calculate the smallest common multiple of u and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 317*i + 22750 = 330*i. What are the prime factors of i?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 317\/319 + (-3 - -2). Let j = 612\/4147 - n. Which is the nearest to 2\/7? (a) -0.5 (b) -3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -75, -84, -93, -102, -111, -120?\n\"Answer: -9*f - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5b + -36?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(-10) + 3138\/(-4). Let u = -13 + 10. Is 1\/u - t\/21 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (0 + sqrt(252) + -1)*2)**2.\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8036949435?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-28)*(85\/(-20))\/(153\/204)?\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 10*v**3 - 95*v**2 + 13*v + 9. Let d(r) = 5*r**3 - 48*r**2 + 6*r + 4. Let p(l) = 13*d(l) - 6*w(l). Find the third derivative of p(t) wrt t.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -1 + -1 - (-27 - -23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 25)*((-2223)\/195 - -10).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m + 12. Let f = 13 + -21. Let k be x(f). Let s be (-4)\/(-14) + (-292)\/(-7). Calculate the greatest common factor of s and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*l + 2\/3 + 2\/3*l**2.\nAnswer: 2*(l - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15080ba (base 13) in base 5?\nAnswer: -3203413003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(0 - -3) + 3 + 3. Let a(d) be the first derivative of -2*d**4 + 0*d**3 - 2 + 0*d - 1\/3*d**u + 8\/5*d**5 + 0*d**2. Factor a(r).\nAnswer: -2*r**3*(r - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**6\/120 + 5*r**3\/3 + 35*r**2 - 2. Let p(y) = y**3 - 4*y**2 - 5*y + 5. Let q be p(5). Is s(q) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in -608, 0, -0.5, 3\/5, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8365.627 millennia in months?\nAnswer: 100387524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39100384 is divided by 1303346.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*g - 3*g + 9*g)*(0 + 3 - 1)*(-4*g**2 + 4*g**2 + g**2).\nAnswer: 26*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2170 = 3*d + 2263 for d.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -138 + 362. Let k = 35 - 27. Let s be 1 + 0 + (k - -19). Calculate the greatest common factor of s and p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-149)\/(-50)*-12 - 65910\/274625?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 989498\/28 - (-102)\/(-476) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-156)\/(-130)*25\/(-195) + (-6 - 427\/13).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18622513, -18622512, -18622511?\nAnswer: -18622510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 846 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 42579 divided by -27\nAnswer: -1577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1155642 or -1155644?\nAnswer: -1155642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2952 + 0.1.\nAnswer: 2952.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*n**2 + 2*n**2 + 2*n**2 + (5 - 5 - 2*n)*(45*n - 107*n - 38*n)*(5 - 1 - 3).\nAnswer: 198*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -214 divided by -1?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -9675 divided by -8\nAnswer: 9675\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7863 is divided by 1954.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 12*z**2 + 28*z + 57. Calculate r(-14).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(2736) - (4 + 2 + sqrt(2736)) - (4*(sqrt(2736) - (0 + sqrt(2736))) + sqrt(2736))) + 1)*-4)**2.\nAnswer: 17280*sqrt(19) + 397584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 1661 times -0.2?\nAnswer: -332.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 6) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 484 divide 686701832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -233, -3, 27, 7 in descending order.\nAnswer: 27, 7, 0, -3, -233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*j**2\/3 + 35*j\/3 + 38.\nAnswer: -(j + 2)*(11*j - 57)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 4. Let k be (-19)\/g + 2\/8. Suppose k*i - 14 = -4. Calculate the lowest common multiple of i and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677362.9 millilitres in litres?\nAnswer: 677.3629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.9, -0.4, 4\/5, -81, 225, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(10\/3)\/r**(2\/37)*(r**0)**18 assuming r is positive.\nAnswer: r**(364\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 4*c + c**3)*(-c + 4*c - c) - 2*c**4 - 2*c**4 + 5*c**4 + c - 5.\nAnswer: 3*c**4 + c - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is a363 (base 16) in base 10?\nAnswer: 41827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0 + 28 + 20 + 10*l**2 - 23 + 0*l**2.\nAnswer: 10*l**2 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 219855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -44363 (base 13) in base 10?\nAnswer: -123620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5178*d + 5174*d - 26 = -5*c - 101, 4*d = 3*c + 53 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (100\/4)\/(35\/7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 13564 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*j**3 + 3*j**3 - 8*j**3 + (-4*j**2 + 5*j**2 - 3*j**2)*(-j + 2 - 2) to the form x*j**3 + o*j + a*j**2 + c and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence amw when three letters picked without replacement from {a: 1, w: 1, m: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -19*d**5\/30 - 112*d**2 + 2*d + 7. Let x(w) = -9*w**2. Let i(q) = 22*q**2. Let p(n) = 5*i(n) + 12*x(n). What is v(p(g))?\nAnswer: -152*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-6 - -13 - 12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -174, -405, -730, -1149?\nAnswer: -1662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.27 - 0.37. Let w = -5 + 2. Which is the second smallest value? (a) 0.2 (b) w (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (p + 12*p + 2*p)*(-1 + 0 + 2) + p + p + 0*p + (5 + 0 - 2)*(p + p - 3*p) as j*p + a and give j.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 10*s**2 + 12. Let d(k) = -5*k**2 - k - 6. Let m(z) = 5*d(z) + 3*l(z). Calculate m(3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 687 + -708. Let s be 20\/15*p\/(-14). Solve -s + 2\/3*b**2 + 4\/3*b = 0 for b.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*y = -98 - 35 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/3 + 47*j.\nAnswer: -j*(j - 141)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/7, -2, 2.1, 0.1?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20 - 1\/5*m**2 + 29\/5*m.\nAnswer: -(m - 25)*(m - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58875 divided by -4185.\nAnswer: 3925\/279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 33430 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + (0 - -2*1). Suppose -k = 2*i + 2. Let h = i - -15. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-10))\/(39\/(-130)*17).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.17*60.84\nAnswer: -10.3428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.419 - -5.819. Sort -4\/5, n, -5.4 in descending order.\nAnswer: n, -4\/5, -5.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -3*j, -14*u - 7*j + 30 + 25 = -16*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**5 - 3*v**5 + 3*v**5 + (0*v**4 + 4*v**4 + 2*v**4)*(-v - 2*v + 5*v) + 5*v**5 - 2*v**5 - 4*v**5.\nAnswer: 9*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/68)\/(4\/1894). Let v = h + 27\/17. Find the common denominator of (-43)\/(-16)*(-4)\/3 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.46 + -0.61. Which is the smallest value? (a) q (b) -4 (c) -2\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -5)*-1 + (-6)\/(-6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-30)\/(-9) + 2\/3. Suppose 0 = 5*c + 61 + 44. Let h = c + 25. Solve h*t + a + 11 = -3*p, -5*p - 25 = -3*t for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 223976, 223969, 223962, 223955, 223948, 223941?\n\"Answer: -7*l + 223983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -112*b**2 + 89*b + 625. Give s(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -639*n + 3. Let p be i(-3). Suppose 7*j = 2*j + 3*r + 2410, 0 = 4*j - 4*r - p. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2526 or -27798\/11?\nAnswer: -2526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0212932212 rounded to four decimal places?\nAnswer: -0.0213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**4\/7 + 222*c**3\/7 - 3018*c**2\/7 - 57262*c\/7 + 8580 = 0.\nAnswer: -11, 1, 30, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 less than -0.71?\nAnswer: -29.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - r = 54. Suppose 0 = x - 4*x + 105. Calculate the remainder when x is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeoeeeecoeooeoeo. What is prob of sequence ooce?\nAnswer: 5\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((9\/(-15))\/((-18)\/(-20)))\/((-32)\/(-912))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 35 - 10 = -3*y, 3*y - 2*h + 19 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 28111 = 2*z, g = 2*z + 4574 + 1045. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12580 - -12595. What is the highest common divisor of 4395 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.13 + -0.07. What is i rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6792, 12573, 18354, 24135?\n\"Answer: 5781*o + 1011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -15764+1\nAnswer: -15763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.2 (b) 1.1 (c) -32\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 1, 549, 2617.\nAnswer: 1, 30, 549, 2617","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -967170*o**3 - 2*o**2 + 12692*o - 10?\nAnswer: -5803020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -69379\/77 - -901. Which is the fourth smallest value? (a) -0.2 (b) 5 (c) v (d) -3 (e) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*l - 77*l + 44*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -4*b - 14. Let z be g(-6). Let o(r) = 10*r + 20. Let j be o(z). Let k = j - 69. Calculate the remainder when k is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 3\/5, -25.4, -10, -77, -2 in decreasing order.\nAnswer: 3, 3\/5, -2, -10, -25.4, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 10 - 16)*(2*x**4 + 2*x**4 - 2*x**4) + x + x**4 - x.\nAnswer: -71*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -10. Put 4, q, 0 in descending order.\nAnswer: 4, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z + 3 - 4*z - z**2 + 5*z. Let j be y(7). Sort 3, -3\/5, j in decreasing order.\nAnswer: 3, -3\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 4*w**7\/21 + w**4\/3 + 2*w - 20. Let o(u) be the first derivative of h(u). What is the third derivative of o(s) wrt s?\nAnswer: 480*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.14 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10584256?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -250.\nAnswer: -250, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5605 + 2803 - 2*n**2 + 2837 + 4*n)*(2 - 2 - 2*n).\nAnswer: 4*n**3 - 8*n**2 - 70*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*j**2 - 2*j**2 + 0*j**2)*(-2*j - 4*j + j + (0 + 4 - 2)*(j + 0 + 0)) to the form a*j + k*j**2 + n*j**3 + w and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247591417?\nAnswer: 17, 839, 17359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1044 - 1053 + 2043 - 36*j)*(-j + 0*j + 3*j).\nAnswer: -72*j**2 - 108*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 5*g**2 + g + 1. Suppose 3*k - 7 = 5. What is the tens digit of o(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**8\/112 + 3*x**7\/35 + 13*x**6\/40 + 3*x**5\/5 + x**4\/2 + 7*x**2 - 6. Suppose v(y) = 0. What is y?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -16*r**2 - 7*r - 5. Let l(z) = -15*z**2 - 6*z - 4. Let f(i) = -3*l(i) + 2*w(i). What is the remainder when f(-2) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158*l + 51*l + 102114 = -80*l. What is the remainder when l is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10776 is divided by 196?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1766098 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 k when two letters picked without replacement from pppkpnkppkkpnppp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 156 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*v + 8. Suppose 3*m - 3 = -z + v, 0 = 3*m - z - 13. Suppose -5*u + 2*a - 1902 = -10991, 2*a = m*u - 5455. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**2 - 72112*z = 0 for z.\nAnswer: 0, 18028","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 times 3.400528\nAnswer: 2.7204224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1332 (b) 16 (c) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43*j + 18.\nAnswer: 43","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1104256*f**4 + 1221 + 1103 + 1104255*f**4)*(-1 + 1 - 1) as r*f + s*f**2 + o + u*f**4 + n*f**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/3 and 1659 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1288032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1\/4))\/(a\/(a\/a**(1\/3)))*(((a*a\/(a**1*a))\/a)\/a)\/(a*a\/a**(-3)*a)*((a\/(a*a**(1\/5)))\/(a*a\/a**5))**(-1) assuming a is positive.\nAnswer: a**(-623\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x**3 + 4*x**3 + x**4 + (1937 - 370 + 2479)*(2*x**4 - 3*x**2 + 3*x**2) to j*x**3 + a*x + k + h*x**4 + u*x**2 and give h.\nAnswer: 8093","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -4*u**6\/75 + 25*u**5\/2 - 4082*u**4\/5 + 2028*u**3\/5 - 3017*u. Factor g(l).\nAnswer: -2*l*(l - 78)**2*(4*l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-24))\/(12*7\/168)*-28.\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 250625844 and 250625844.\nAnswer: 250625844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3449\/260 - 190\/13. What is the common denominator of 87\/46 and p?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oof when three letters picked without replacement from xioofffqqfiifxmqfof?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 295*u**2 + 85*u + 85. Let j(g) = 21*g**2 + 6*g + 6. Give -6*i(d) + 85*j(d).\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32.168 - 0.528. What is x rounded to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 99443848?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide (2 - 16\/(-12))*-6*(21 - 124)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of w**5\/60 - 2*w**4\/3 + 9*w**3 - 15*w**2. Let a be t(12). Let g = a + 4. Is 2 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/878330 or -1?\nAnswer: -1\/878330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 3*q**4\/4 - q**3 - 6*q**2 + 12*q + 1. Suppose t(p) = 0. What is p?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-68)\/(-8)) + (4410\/(-153))\/10. Suppose -4*l + 4 = -8. Let w(o) = -2 - o**3 - 3*o**2 + 0*o**l + 2*o - 2. What is w(y)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(12\/(-20))\/(3\/(-1)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(12)\/sqrt(4)*5)*6 - ((5*sqrt(12))**2 - sqrt(300)*-3).\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 117 - 122. Let v = -4 + 4.5. What is the biggest value in v, 0, h, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 697745703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3286900 rounded to the nearest ten thousand?\nAnswer: 3290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*t**2 - 23960708*t + 27383648.\nAnswer: 2*(t - 1711478)*(7*t - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 12*j - 6. Let a be f(-10). Let g be a\/10 + -4*5\/20. Let c = -0.2 + 0.1. What is the closest to -0.2 in 1\/7, g, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -468932, -937802, -1406672, -1875542, -2344412?\nAnswer: -2813282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.29 and -0.02748.\nAnswer: -0.0354492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 - 4. Let i = q + 35. Sort -2\/21, i, 3\/2 in ascending order.\nAnswer: -2\/21, 3\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**18\/p)\/p**16)\/(p**(-2\/5))**(3\/11))**(-1\/2) assuming p is positive.\nAnswer: p**(-61\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, a: 12}. Give prob of sequence mm.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19531 + 17050559\/873. Find the common denominator of j and -49\/33.\nAnswer: 9603","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 5*z**2 - 11*z - 3. Let b be 130\/(-20) - 3\/(-2). Calculate the lowest common multiple of x(b) and 8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 439584368 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/7 (b) -11\/96 (c) 0.2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + y**2 - y. Suppose 0 = z + 5*z - 2*z. Let q(o) = -6*o - 5 + z*o**2 - o**2 - 5*o**2. Let t(v) = n(v) + q(v). Determine t(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66197*4.\nAnswer: -264788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9140953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6293013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3388*l - 895*l + 149546 = -2736*l - 1273*l for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1383\/(-42) - 9702\/(-294)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1908 plus 0.6?\nAnswer: 0.4092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - -0.1. What is the third smallest value in -3\/2, -0.3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1*v)**(-46)*(v\/(((v**4\/v)\/v)\/v))**(-8\/3) assuming v is positive.\nAnswer: v**(-92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + x = -5. Let l(i) = 2*i**3 - 2*i**2 + 1. Give l(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46935\/4 - -11734. What is the closest to 2 in 0, -5.9, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -6 (b) -16638 (c) 212\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + -14 + (19 - 8) + 3.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 3. Let r = m + -3. What is the nearest to 0.2 in -1\/3, r, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 52\/(-91) + (-19)\/((-266)\/12). What is the closest to 1\/4 in 2.39, 0.01, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50661596*o**5 - 3*o**3 - 2396*o**2 + 3*o + 770 wrt o?\nAnswer: -3039695760*o**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10 and -18?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -1260*g - 209. Is k(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, g: 5, s: 6, k: 6}. What is prob of picking 1 s and 1 g?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 3:23 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2795348l?\nAnswer: 279.5348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 5*s + 434. Let x be c(0). Suppose -54 + x = 4*t. Is 19 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2271.313 nanometers in millimeters?\nAnswer: 0.002271313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -26*x**2 + 3*x - 9. Let j be s(3). Let d = j - -6943. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -20*w + 65 + 122. Solve -5*k = -4*f - 30, 3*f + w = -2*f - 4*k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 36*o - 39 = 33*o, 0 = -5*t - 25*o + 26*o - 28 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 165307891 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jn when two letters picked without replacement from jbjnbnjnnjnmtnnnntjn?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -1*9\/6. What is the fourth smallest value in 1\/4, -0.2, p, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 180 - 170. Calculate the lowest common multiple of 20 and (5760\/(-75))\/((-4)\/k).\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3057?\nAnswer: 3, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 11*h**2 - 61*h + 93. What is the thousands digit of i(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3*s - 1217538 = 0, 2*i + 130883 = -5*s + 942587. Suppose -159204 = -34*r + i. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -m**3*q + 3*m**3 - 2826*m**2*q**2 - 673*m - 1 wrt q?\nAnswer: -m**3 - 5652*m**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 p, and 2 d when four letters picked without replacement from jpjdj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1005 is divided by 110.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 817292327 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4 - 14*g**2 - 1 - 2*g + 15*g**2. Let m be h(4). Suppose 2*u + z - 12 = 6*z, 2*u - 28 = -m*z. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 5 + (0 + 6 - 4)*(2 - 3 + 4))*(0*d - d**4 + 0*d).\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 16*t**2 + 9*t - 13. Let v be p(-4). Suppose 22*y = -y - v. Is y at least 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -147409 equal to -147425?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 + -14. What are the prime factors of (-3)\/p - (-18)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 9:50 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + x + 6 = 0. Let c be 0*((-4)\/(-2))\/x. Solve c = q - 5*p + 10, 0*p - 31 = -5*q - 2*p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of o**6\/45 - o**5\/15 - o**4\/18 + 2*o**3\/9 + o. Factor g(d).\nAnswer: 2*d*(d - 2)*(d - 1)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -229, -456, -683, -910, -1137, -1364?\n\"Answer: -227*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) -0.4 (c) -11 (d) 17 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + q + 14 = -11, -3*p - 4*q + 5 = 0. Suppose i - 3*f = -p*f - 20, 0 = -2*i - 4*f - 24. Let u = i - -10. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -539 + 546. Suppose -p + 2 = 0, v*s - 110 = 4*s - p. What is the highest common divisor of 558 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60397 is divided by 15065.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*x - 2*x. Let c = 1 + 3. Suppose -x = c*d + 5*q + 4, 0 = q + 5. Solve 0 = d*s - 5*s - 6, -3*i + s + 18 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -7957 = -1.35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a0aa (base 14) to base 9.\nAnswer: -41755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (-4 - (-4)\/2) + (-43)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 8*f - 5. Let d = 26 + -31. Let h(z) = -39*z + 24. Let w(b) = d*h(b) - 24*q(b). What is w(-4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3 + (2 + sqrt(11) - sqrt(11) - sqrt(11))**2 + sqrt(11) + 3*((sqrt(396) + sqrt(396)*2 - sqrt(11)) + sqrt(11) - sqrt(11))**2 + 0.\nAnswer: -3*sqrt(11) + 9554","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 12) in base 16?\nAnswer: 9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -388*b*j + 29552*b + 25*j**4 wrt j.\nAnswer: -388*b + 100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7 + -3 - (6 + -4). What is the third derivative of -2*d**2 + d**2 - 5*d**2 + 49*d**3 - 6*d**m wrt d?\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.40985nm to millimeters.\nAnswer: 0.00000040985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 23980, 47956, 71926, 95890, 119848, 143800, 167746?\n\"Answer: -3*t**2 + 23985*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, g: 4, o: 2, r: 2, d: 4, p: 1}. Give prob of picking 2 g.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -f, -24 = -4*u + 5*f - 3*f. Let k = 81 + -58. What are the prime factors of k\/2 - 2\/u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -394*b - 98 = -408*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f + 0 + 0*f - 3. Let s be m(-6). Let p be ((-5)\/(-10))\/(2\/4). Solve -p - 2 = s*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**7*v)\/(v*v\/v**(3\/7)))\/(v**(-5)\/(v**(1\/5)*v)) assuming v is positive.\nAnswer: v**(442\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 3*j - j)*(3*j - 8*j + 13*j) + (3*j - 2*j + 0*j)*(4*j - 2*j + 3*j).\nAnswer: -11*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 5*z**2 - z + 7. Let f be i(5). Suppose -938 = -f*d - 2*n, 0 = d + 4*d - 5*n - 2395. Suppose 6*a = 2328 + d. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 297 = -i - i, 0 = 2*j - 2*i - 188. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**5 - 10868*a**4 - 29539218*a**3 - 59002380*a**2 + 88552467*a = 0 for a.\nAnswer: -5433, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 20*s + 32 + 10 - 21*s.\nAnswer: -s + 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -135*g**3 - 5*g**2 - 2*g + 13. Let r(o) = -134*o**3 - 4*o**2 - 2*o + 11. Determine 5*d(v) - 6*r(v).\nAnswer: 129*v**3 - v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + sqrt(200)*-2 + 1 + (-1*(sqrt(200) + 0) - sqrt(200)*2*4))**2.\nAnswer: -1320*sqrt(2) + 24236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -5*j + 35, -2872 = -12*j - 2788 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 64 - 53. Suppose -u*s - s - 120 = 0. Is 5 a factor of (0 + s\/4)\/((-2)\/36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/6 of a week?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 281 + -412. Let s = c + 135. Solve -4*k = -20 + s for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(12\/5))**(-1\/6)*(v**2)**(-16\/11) assuming v is positive.\nAnswer: v**(-182\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/33)\/(8\/(-16)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(8*17\/(-544)))\/((-4)\/7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/((-4)\/(-2)) - -4. Put 1, -2, -7, t in ascending order.\nAnswer: -7, -2, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69946 is divided by 1574?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-68) + 656\/136. Solve -30 = 5*t - f, -14*f = -15*f + l for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.3962388 to three decimal places.\nAnswer: 1.396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 6*r - 1. Let w(x) = -2*x**2 - 12*x - 2. Give -7*o(n) + 4*w(n).\nAnswer: -n**2 - 6*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 8*t**2 - 2*t + 3. Let y(l) = -8*l**2 + l - 4. Let u(z) = -4*s(z) - 3*y(z). Let i(r) = 33*r**2 - 21*r. Give -5*i(c) - 21*u(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*x - 185*x = -1384656. List the prime factors of x.\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 1. Suppose -4*w + z = 4, -w - 2*z - 1 = 3*z. Let f(a) = -143*a - 25. Let k(j) = 230*j + 39. Let x(r) = 8*f(r) + 5*k(r). What is w*x(h) - 6*d(h)?\nAnswer: -6*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y + 422 = 772. What is the remainder when 90 is divided by y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 279.\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/9)\/(384\/(-1440)). Sort a, 3, -11, 5.\nAnswer: -11, a, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1353, 2716, 4091, 5484, 6901, 8348, 9831, 11356?\n\"Answer: g**3 + 1356*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 - -50. Let h be (2\/p)\/((-2 - 4)\/(-594)). Let b = -62 + h. Solve b*d + 5*r - 3 = -6, 2*d + 2*r = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2234, -3, 1\/5 in decreasing order.\nAnswer: 0.2234, 1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + (-22 - -5) + (-1 - (-5 + -2))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -182404 - 1935530?\nAnswer: -2117934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -347 = -18*x + 49. Solve -20*d**3 - 16 - 15*d**4 + 46*d**4 + x*d + 4 - 2*d**5 - 19*d**4 = 0.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 653846 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (829 + 756 - 647)*(-3*p**2 + 2*p**2 + 0*p**2).\nAnswer: -938*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r + 72. Determine d(27).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 206 = -2*l + 112, -4*l = -4*k - 316. Let h = k - -243. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4*1360\/(-204).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8505 (base 11) to base 10\nAnswer: 11258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -4*t + 944, 15*z - 18*z + 2*t + 584 = 0. Is 4 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 1903 = -6*k. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-28))\/(16\/56). What is the nearest to -1\/3 in 2\/5, w, 2\/13?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffdihhddyahyhhdfdidd. What is prob of picking 2 f and 1 y?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -597569220 or -597569223?\nAnswer: -597569223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n + 1. Let t be a(1). Let g(u) = -u**3 - 5*u**2 - u - 4. Let p be g(-5). Put p, -4, t in decreasing order.\nAnswer: p, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuvuvuvuv. Give prob of sequence vvuv.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.9564 rounded to 1 decimal place?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -53022*l + 211725. What is r(4)?\nAnswer: -363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.05 - -0.35. Let x = -97 + 80. Let p = 86\/5 + x. Which is the smallest value? (a) -0.5 (b) s (c) -10 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 1. Suppose 32 = -3*l - l. Let h be m(l). Is h\/(-6)*(-74)\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -4 - (-35 + 34).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**7*y**(-4\/3)*y*y)**(13\/4)*((y**(-1\/3)\/y)\/y)**(-24)*y**(1\/4)*y**2*y assuming y is positive.\nAnswer: y**(271\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 222\/13 in 1, -0.18, -2, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 146003 (base 9) to base 8.\nAnswer: 257106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 46.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 8032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.4580562 rounded to 2 decimal places?\nAnswer: 5.46","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 divided by -1.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 7:08 PM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2680 + 129?\nAnswer: -2552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -163, -660, -1493, -2668, -4191, -6068?\nAnswer: -8305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2450 or 2376?\nAnswer: 2376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-1424636\nAnswer: -142463.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**3*t)**(-17)*(t**(1\/5)\/t*t)**(-17) assuming t is positive.\nAnswer: t**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 18513 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/278698 and 73\/42840?\nAnswer: 50165640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - ((-4)\/20 + (-4)\/5). Suppose -2*x + b + 6 = 0, -4*x - v*b = 9 - 1. List the prime factors of x\/(4 + (-2268)\/568).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t**2 - 1498433*t + 2996862 = 0. What is t?\nAnswer: 2, 1498431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k**2. Let c be ((-76)\/(-57))\/((-4)\/(-18)). Let m(g) be the first derivative of -10 - 5*g**3 + 17 + c*g**3. What is r(m(b))?\nAnswer: -27*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/19)\/(139\/(-139))?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (48\/40)\/((-9)\/(-8850)). What is the greatest common factor of g and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.9 - -0.7. Let r = 0.13 + 0.15. Let o = q - r. What is o rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**21*j)\/j*j*j**(-37))\/((j*j**(-3))\/j*j*j**(19\/3)) assuming j is positive.\nAnswer: j**(-58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.1 (b) -14\/9 (c) 0.4 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(672)\/sqrt(6) + sqrt(7)).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1, -26, -69, -130, -209?\n\"Answer: -9*r**2 + 2*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170637?\nAnswer: 3, 23, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -317, -1129, -2219, -3371, -4369, -4997, -5039?\nAnswer: -4279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10800 by 135.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43 + 122. Calculate the remainder when z is divided by 36\/(-27)*15\/(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fjpjljfleeepeplpeyjf. What is prob of sequence pll?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11942 - -11947. Which is the closest to -1\/4? (a) 3 (b) k (c) 93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 867 + -876.5. What is r rounded to 0 dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5488?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**3 - 23*x**2 - 12*x + 15. Let q be g(-11). Suppose -4*n - 5*r + q = -5*n, -3*n = -4*r + 45. What is the units digit of 5\/(-60)*-4 + n\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68266, 136798, 205330, 273862?\nAnswer: 342394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 17, 0, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2105 - 2108 + 6320 - 7*b - 26*b + 10*b - 2106.\nAnswer: -23*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 224 in ascending order.\nAnswer: -5, 5, 224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/21 + (-1995)\/(-245). Let r(h) = -h**3 - 2*h**2 - h + 4. Let b be r(-3). Solve 0 = 2*i + m + n, m = -4*i - b for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-114)\/(-21) + (-9)\/21. Solve 0 = -2*j + h*j + 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112, -222, -332, -442, -552?\nAnswer: -662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 147233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1643977973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (50 + 107 - 40 + (0 - 2 + 3)*(1 - 2 + 3))*(0*u + u + 2*u)*(-2*u + u + 3*u)*(-2 - 1 + 4)*(0 + 1 - 4) in the form j + v*u**2 + g*u and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 80 = -5*o, -82 = 5*o + 2*f + f. Let l = o - -6. Let c(d) = d + 27. Let y be c(l). Solve 5*v + y = v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 25*s - 149. Let h be m(-15). Let w be (30\/9)\/5*3. What is the greatest common factor of w and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 12 - 20. Let a = -4 - l. Let h = 27 + a. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1032000 to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 181 + -159. What is the remainder when 171 is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-15))\/(18\/(-450)). Suppose 4*s + 4 = 0, 2*j - j - 11 = q*s. Let f(x) = 4*x - 9. Calculate f(j).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c - 17. Calculate the remainder when i(7) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/6588 and 95\/111186.\nAnswer: 13564692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.24 + 4.76. Let b = y - 6. What is the third smallest value in 1.1, b, 1\/2?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 0*z**5 - 8 - 1\/2*z**6 + 9\/4*z**4 - 2*z**3 + 0*z + 0*z**2. Suppose i(x) = 0. Calculate x.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4*a**2 + 17*a - 1. Let h(t) be the first derivative of t**3\/3 - 2*t**2 + 165. Determine -2*g(s) - 9*h(s).\nAnswer: -s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 105838 divided by -19\nAnswer: -105838\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -4*t**3 - 31956*t**2 - 83569440*t - 71102638400 = 0.\nAnswer: -3020, -1949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 6952 - 3168 - 3480 - 7*i + 2*i in the form d + v*i and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 411521490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -51140 to the nearest one thousand.\nAnswer: -51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 0, 304, 1134, 2754, 5428?\n\"Answer: 44*v**3 - v**2 - v - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/sqrt(216) - (sqrt(1100) + sqrt(1100) + -3 + sqrt(1100))**2.\nAnswer: -9909 + 1081*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/6)\/(40\/(-12))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -218 + 315. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -0.02.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 26*s + 58. Let a(m) = m**3 - 13*m**2 - 12*m + 128. Let y be a(13). Let n be c(y). Suppose -1\/6*z**n + z - 4\/3 = 0. Calculate z.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -80*n - 5\/2*n**2 - 280.\nAnswer: -5*(n + 4)*(n + 28)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24568333 - 7?\nAnswer: 24568325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + k - 4 = -4*y, 4*y + 4*k - 16 = 0. Solve y = -2*d - 0*d - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*q**3 - 117*q - 56*q**3 + 114*q + (-3*q**2 + 5*q**2 + 0*q**2)*(5*q - 5*q + 2*q) as a*q**2 + y*q**3 + j + p*q and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z - 25. Let g(l) = 1816. Let o(s) = -641. Let b(r) = 6*g(r) + 17*o(r). Calculate 3*b(c) + k(c).\nAnswer: c - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 813 and 5602893?\nAnswer: 1518384003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16118 + -847. What are the prime factors of s?\nAnswer: 15271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*l = 0. Suppose -h = 2*o - 6*o + 1272, 3*o - h - 953 = l. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3525666?\nAnswer: 2, 3, 53, 11087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 53*c - 3. Let i be q(4). Suppose -7*a - 6 = -i. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 2940.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4 + 44*g**3 + 42*g**2.\nAnswer: 2*g**2*(g + 1)*(g + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**2 - 41*p - 8. Let y be s(14). Let l be ((-9)\/y)\/(4\/(-440)*3). Let a = -46 + 51. Calculate the highest common divisor of a and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 8*x**2 - 17*x - 6. What is v(7)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 15. Let j be c\/4*187*-2. Let n(g) = 2*g**2 + 4*g + 1. Let z be n(-4). What is the greatest common divisor of z and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4836 and -0.2.\nAnswer: 967.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 466758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 4*b, -2*b = h - 5*h + 10. Suppose h*f + p = 240, 134 = f - p + 5*p. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22020222021112 + -111?\nAnswer: -22020222022000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 522.8691 centimeters?\nAnswer: 5.228691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -0.293509.\nAnswer: 3.293509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1438, -1440, -1440, -1438, -1434, -1428?\nAnswer: -1420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 684461731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -27*m**3 - 2*m**2 - 3*m. Let w be d(-2). Suppose -5*b + 46 = -w. List the prime factors of b.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -376999654\nAnswer: -1130998962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*x**6 + 84072552*x**5 - 3787973*x**2 + 2*x wrt x.\nAnswer: -240*x**3 + 5044353120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(15\/6)*21\/(-14)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 18*l**2 + 3247*l + 58412. What is u(-18)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**3 - f**3 + 75*f**2 + 96*f**2 - 171*f**2 - 5*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -499 + 856. Let m = h - 356.99767. What is m rounded to 4 dps?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + q + 6 = -4*c, 0 = -3*c + 3*q. Let n be (0*1\/2)\/c. Let k = 129 - 125. Put -1, k, n in increasing order.\nAnswer: -1, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 19*d + 133. Let i be a(-3). Suppose -i*h - 3711 = -79*h. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 71*m**2 + 88*m - 123. Does 28 divide f(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -301*w**4 + 11*w**3 - 460. Let r(f) = 100*f**4 - 4*f**3 + 153. Let z(u) = 4*h(u) + 11*r(u). What is the derivative of z(j) wrt j?\nAnswer: -416*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/(7 + -30)*-11.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o. Let r be h(-3). Is 7 a factor of ((-7)\/r)\/(1\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 814270091 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 802a (base 11) in base 7?\nAnswer: 43065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -669 + 684. Suppose -k - 34 = -r - 5*k, y*r - 4*k = 54. Is r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66548 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -1 + 12\/21*-7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*d = -1327, 3*d = -18*r + 13*r + 2257. Calculate the remainder when r is divided by (18\/16)\/((-12)\/(-80))*6.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5676*t - 204*t**3 - 5676*t)*(-13*t + 13*t - t**2).\nAnswer: 204*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 525*b - 39 + 138*b + 39 to y + g*b and give g.\nAnswer: 663","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 223 * 4\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9563, 17256, 24949, 32642, 40335, 48028?\n\"Answer: 7693*h + 1870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/2365 and 2\/19393.\nAnswer: 96965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 1. Let d(t) = -23*t**3 - 92*t**2 - 92. Determine -d(u) - 92*h(u).\nAnswer: 23*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 66*w**2 + 209*w + 342. What is s(-69)?\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r + 2. What is k(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.28 - 0.242. Let t = b + 141.962. Let o = -142.00000122 + t. Round o to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 24 = -0*a. Suppose 5*x = -4*n - 89, -2*x = -3*x + 3*n - 14. Let w = a + x. Let o(b) = b**3 + 4*b**2 - 3*b - 1. Calculate o(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 9*s + 26. Let b(r) = -23*r - 27. Calculate -3*b(g) - 4*p(g).\nAnswer: 33*g - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 156*t**2 - 2*t - 1. Suppose 10*v = 11*v + 1. Let k be a(v). Let q = k - 105. What is the highest common factor of 13 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -5*z**3 + 1150*z**2 + 25*z - 5752. What is n(230)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 60.6 and -1.\nAnswer: -60.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/10 + 1871*h**2\/5 - 3500641*h\/10.\nAnswer: -h*(h - 1871)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 81*v - 8748. Determine t(108).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126619.\nAnswer: 127, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2285, 10061, 23021, 41165?\nAnswer: 64493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -21 (b) 4 (c) -1 (d) -9 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -5*r**2 - 2*r**2 + 0*r**2 + 5*r**2. Let w(v) = -6*v + 10*v + 2*v. Let q(z) = -29*z. Let t(y) = 4*q(y) + 22*w(y). Calculate b(t(f)).\nAnswer: -512*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1926511 divided by -1583\nAnswer: 1217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 151255103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/((g*g**(2\/9)\/g)\/g*g)*g*g\/(g*g**(2\/9))*(g**(-1))**(18\/13))\/((g*(g*g**(-1\/4)*g)\/g)**14)**(-28) assuming g is positive.\nAnswer: g**(80399\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 158773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -476507904 divided by 37.\nAnswer: -12878592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 1086*z - 65. Is x(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = 5*q - 2*x, 34*q + 6*x = 77*q - 38*q - 103 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 14) to base 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/15)\/(4\/10). Let n be 1 + (q*4)\/2. Suppose 0 = 2*i + 1 - n. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66 + -35. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21201433 (base 5) in base 16?\nAnswer: -2b8c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/3839 and -24\/8027.\nAnswer: 88297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*i + 2*i - 550*i**2 + 544*i**2 - 5*i**2 + 2*i**2 + 0*i**2 + (4 - 4 - 1)*(-1 - i**2 + 1).\nAnswer: -8*i**2 - 14*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -152*r - 29189. Calculate o(-192).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven quarters of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/206?\nAnswer: 1\/206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*f + 7*f - 13*f)*(f**3 - 3*f**3 - 2*f**3 + f**3).\nAnswer: -120*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11781 by -119.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 618 a factor of 9578382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 1:44 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3b417 (base 13) to base 10\nAnswer: 110546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-128)\/9024)\/((2\/5)\/((-10)\/(-25)))?\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5372853, -10745712, -16118571, -21491430, -26864289, -32237148?\n\"Answer: -5372859*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1510, -1503, -1474, -1411, -1302, -1135, -898, -579?\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of 17*l**7\/42 - 10*l**6\/9 + 47*l**5\/60 + l**4\/18 - 2*l - 26. Factor v(o).\nAnswer: o**2*(o - 1)**2*(51*o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1048191 to the power of 1\/2, to the nearest integer?\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.97 + -1.43. What is l rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -134377.\nAnswer: -13437.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 294385 and 647?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + (-11 - -22) + -1 + -11?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 1:33 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 0.09, -64, -1\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17176 + 17175.7. Which is the fourth smallest value? (a) 1 (b) -0.2 (c) -5 (d) 1324 (e) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7908 and 108.\nAnswer: 71172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*x = 4*q + 6, -5*x = 2*q - 17. Let j(k) = 4*k**2 - k**3 + 1 + k + 0*k**3 + 4*k. Give j(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -108 - -117. What is the remainder when 335\/z - (-24)\/(-108) is divided by 26?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 6*g**2 + 8*g - 7. Let y be z(5). Let d(r) = -r**3 + 9*r**2 - 7*r + 9. What is the units digit of d(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4542 divided by 3\nAnswer: 1514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - (-1260)\/98)*-77?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-16 - -3) + -25 + 21?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**5 + 276*p**4 - 8*p**3 - 552*p**2 + 4*p + 276 = 0. What is p?\nAnswer: -69, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-105)*7 + 5388\/(-20). Let f = d - -271. Solve 7*c + 18 = 3*c + f*p, -3*p = -3*c - 18 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/28*(-1704)\/(-71))\/((-15)\/(-70))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 58604034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tftn when four letters picked without replacement from tfntnnnfttfnnntnfnt.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3070, 5, 3, 201 in decreasing order.\nAnswer: 3070, 201, 5, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3934746 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.48 in 9, 0.08, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 633 a factor of 368835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17382927427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 53915 times -0.1?\nAnswer: -5391.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/4 and (-87)\/8*(-1)\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c + 53. Give m(-29).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8312*x - 150899 = -26219 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47 and 542709?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 2*h - 3520, -2*u + 5274 = u - 3*h. Let i = -677 + u. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-4)*(-40)\/36*3. Let w = p + 7. What is the units digit of w - (-3 - (-2)\/(-2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 6 - 25*z**2 - 25*z - z + 0*z. Let k be t(26). Are -2 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1479939 to the nearest integer?\nAnswer: 1217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-67)\/(-4221))\/(2\/(-24)*2)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22251 divided by -3?\nAnswer: -7417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 147018771*t**4 + 6378*t**2 - 4829 wrt t.\nAnswer: 3528450504*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 518955715*n**3 - 22*n**2 - 4*n + 1110620 wrt n?\nAnswer: 3113734290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -2*o + 2, 1758*l - o - 4 = 1754*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 274036?\nAnswer: 2, 7, 9787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1037 in 5, 23\/6, -0.2, 0, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, c: 3, x: 7, l: 2, o: 1, f: 3}. Give prob of picking 1 c, 2 l, and 1 f.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 104\/(-3)*(-1569)\/(-4184).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 123*g**2 - 24*g + 103. Let h(w) = -62*w**2 + 12*w - 52. Let p(q) = 5*h(q) + 3*x(q). What is the hundreds digit of p(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 p when two letters picked without replacement from {p: 2, k: 1, w: 1, b: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.6 + 6.5. Let p = g - -5. Let o = -0.11 - -2.11. What is the second smallest value in 2.5, p, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qnqrrwm. Give prob of picking 1 q, 1 m, and 1 r.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r + 0*r + 3*r + 0*r. Let k be p(-3). Is 6 a factor of -9*k\/(-3)*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15304834100 rounded to the nearest one million?\nAnswer: 15305000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 421, 443, 465?\n\"Answer: 22*z + 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9596\/3 + -3188. Let d(r) be the third derivative of o*r**3 + 1\/60*r**5 + 0 + 0*r - 2\/3*r**4 + 4*r**2. Factor d(p).\nAnswer: (p - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40103200 (base 5) to base 6.\nAnswer: -10435110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3038*l + 18 = -3037*l + 4*a, 0 = -3*l - 2*a + 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 11\/133, -0.5, -111?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -25, -18, 37, -1 in descending order.\nAnswer: 37, 0, -1, -18, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 3\/(-28))*(-12131)\/3466?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.326 rounded to 1 dp?\nAnswer: 9.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*p + 136 = p + 952. Solve 7 - p = x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f**3 + 4*f - 4*f + 5*f + 10 - 4*f + 7*f**3 + 4*f**2 to the form d + h*f**3 + y*f + c*f**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2669*r + 9428. What is d(3)?\nAnswer: 1421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of a**3\/3 - 2*a + 14. Let m(i) = -i - 1. Let o(l) = 4*l**2 + 8*l + 8. Let t(g) = -8*m(g) - o(g). Calculate s(t(q)).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 137*p = 2176. Let r(l) = -l**3 - 5*l**2 + 3*l - 3. Let v be r(-6). What is the remainder when 67 is divided by (1*-17)\/(v + p)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -524.95 + 525. Which is the nearest to -1\/2? (a) t (b) 3 (c) 0.5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + i = -41 - 2, 4*f + 5*i - 46 = 0. Suppose -4*g + f = -3. Solve -w + 19 = -5*p, -2*p - g*p - 18 = -2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39538391387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of s**8\/504 - 4*s**7\/315 + s**6\/36 - s**5\/45 + 4*s**2 + 12. Let w(k) be the second derivative of z(k). Factor w(q).\nAnswer: 2*q**2*(q - 2)*(q - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j + 20. Calculate b(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5*w - w**3 + 4*w + 6*w**2 + 8 + 0*w**3. Let z(d) = -d**2 - 2*d + 779. Let s be z(-29). What is the hundreds digit of f(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*u - 31*u - 5*f - 25 = 0, 0 = -2*u + 5*f + 10. Solve -3*q + 7 = -4*i, -u*q + 7*q + 3 = -5*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -62a1 - 1?\nAnswer: -62a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ceyeeefeyygfwfw. Give prob of picking 1 g and 2 f.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -367, -725, -1083, -1441?\nAnswer: -1799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*q - 55. Suppose 0 = -4*j - 1224 + 1272. Suppose -j*y + y = -q. Solve 7 = 4*f - y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6214 is divided by 6170.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 2263*l**2 + 14.\nAnswer: -2263*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 761792459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r\/r**(-3)*r)))\/r)\/r*r*r**(-10)*r**7*r*r*r**(-2\/21) assuming r is positive.\nAnswer: r**(61\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/33*(-42)\/8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 741 is divided by 125?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10d2e23 + 0?\nAnswer: 10d2e23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -17607118 > -17607117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 276 by -69.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43880 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 836?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21851 is divided by 560.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4003417.\nAnswer: 11, 363947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -58 divided by 2\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -a6?\nAnswer: -a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d + d - 4*d + (-2*d - 2*d + 5*d)*(-3 - 3 + 8) + (5 + 0 + 3)*(-4*d + 4*d - d).\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 0*h = 4*g - 108, -75 = -3*g + 5*h. Suppose p = 231 - 219. What is the highest common factor of p and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -2 - 2 - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 + 5*u**3 + 2*u**3)*(-5 - 1 + 1).\nAnswer: -30*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17581 is divided by 846.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5*q - 77. Let x(n) = n - 19. Let h(u) = 2*p(u) - 9*x(u). Determine h(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 13*w**2 + 2*w - 38. What is n(13)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 - 26. Suppose 13 = -0*p + p + 3*t, -11 = p - b*t. Suppose -22 = -5*a + 3*l, -2*a + 6*a - 12 = l. Solve -4*z + 8 = p*g, 3*g = -5*z + 6 - a for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**3 + 116*r**2 + 32*r - 1851. Let q be o(58). Let x be 4\/1 - 4\/2. Sort q, x, 4 in descending order.\nAnswer: q, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -59482 divided by -29741\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(1700) + sqrt(1700) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*y - 16*y = -34240. Put y, 4, 2 in increasing order.\nAnswer: y, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/5, -36, -3\/7, 7\/2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8911 (base 10) to base 8\nAnswer: 21317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2757795 by -4969.\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t - 7. Let f be h(5). Let x be (2\/(-10))\/(f\/(-10)). Determine j, given that 0 - 2*j**3 + 4\/3*j**2 + 0*j + x*j**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0 + 0*v**2 + 28*v**2.\nAnswer: 28*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**4*u**2 - a**4 + 4*a**3*u**3 + 9*a**2*u**3 + 9*a*u**3 wrt a.\nAnswer: 48*a*u**2 - 24*a + 24*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i - 4. Suppose -2*q + 7*q = 55. Let u = 7 - q. Does 4 divide l(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k - 25 + 61. Let x be 6*(-15)\/10*-1. What is the greatest common factor of x and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**4\/9 - 28*b**3 - 272*b**2\/3 + 1552*b\/9 + 704\/3 = 0 for b.\nAnswer: -4, -1, 2, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/291 and 4\/15.\nAnswer: 1455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1036940849?\nAnswer: 7, 29, 131, 38993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-70)\/6)\/((5\/(-8))\/(3\/4))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5009501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + (-44)\/(-12))*-3. Let b(a) = -2*a + 1. Let m(s) = s. Let k(g) = -b(g) - 3*m(g). Give k(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18968 divided by 9484\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.9 - -3.1. Let p = l + -0.2. Which is the biggest value? (a) 3 (b) p (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + -32 - (-1 - -2 - 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 42918612 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*c**4 + 6*c**2 - c + 2712 wrt c?\nAnswer: -12*c**3 + 12*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/((5\/(-25)*-5)\/((-8)\/8)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**10\/30240 + 7*t**6\/720 + t**5\/30 - 5*t**2. Let j(k) be the third derivative of l(k). Differentiate j(q) wrt q.\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -9*z**3 - 4*z + 5. Let b(r) = -8*r**3 - 3*r + 4. Let u be 3*(-4)\/24*(-12)\/(-2). Let s(t) = u*h(t) + 4*b(t). What is s(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3 + 4)*(-3 + 1 + 0)*(-3 - 2 + 4)*(-3*k**3 + 6*k**3 - 2*k**3) in the form x + s*k + b*k**2 + y*k**3 and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 65545 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -8, 4 in ascending order.\nAnswer: -8, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 326471 - 163650. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87, -83, -75, -63, -47?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126664*p = -126642*p + 22 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 394, -0.4, 2\/3, -16, 4?\nAnswer: 394","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/9)\/((k**(-4)\/k)\/k)*k**(-2\/3)*(k*k**(-5))\/k*k)**(-2\/27) assuming k is positive.\nAnswer: k**(-28\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220022 + -21211?\nAnswer: -1012010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 29*u + 23*u. Solve 3*c + 20 = 4*j - c, 5*j - 2*c - 10 = u for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 - 46. Find the second derivative of -19*j**2 - 19*j - 10*j**2 - 6*j**w - 4*j**2 wrt j.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 8:57 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j - 144 = -12*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m + 8. Suppose 0 = -109*p + 91*p - 72. Calculate l(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.45 + 0.75. What is the nearest to -1\/4 in -1, l, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239*w - 1828 = 235*w. Suppose 0 = 9*n - w + 88. What is the remainder when n is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b. Let w(t) = 4*t**2 - 12*t - 6. Let x(y) = h(y) + w(y). Let j be x(4). Solve -6 = j*l - 4*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -4*b - 4*f + 12, 0 = 4*f - 4. Put -15, 17, b in increasing order.\nAnswer: -15, b, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y + 48 + 57 = -75 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1162 = -6*p + 1136. What are the prime factors of p?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1347941?\nAnswer: 7, 27509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/77*4\/(-2)*1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p - p + 3*p)*(6 - 4 + 0)*(5 - 1 + 1)*(-24 + 22 + 13) in the form n + x*p and give x.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131682, 131678, 131672, 131664?\nAnswer: 131654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 1, 3.5, 5 in ascending order.\nAnswer: -26, 1, 3.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000941971588 to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, a: 3, l: 4}. Give prob of sequence la.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3858.3 rounded to the nearest 100?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 16 = j - 29, h = 3*j - 9 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 75 - 71. What is the highest common factor of 6 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 10 (c) 50 (d) 0.1 (e) 5 (f) 16.96\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/7)\/((300\/10)\/(-6))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + (11 - (0 + -20)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*u = -10554, 11*u = -3*w + 7*u + 7932. List the prime factors of w.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 31*o - 24. Let z(w) = -16*w + 11. Give -4*b(d) - 9*z(d).\nAnswer: 20*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -24263, -48493, -72713, -96917, -121099, -145253, -169373?\n\"Answer: v**3 - v**2 - 24234*v - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of r**4\/2 - 3*r**2\/2 - r + 10. Suppose -4*k - 4 + 20 = 0. Suppose 5*z + 2 = k*z. What is l(z)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1529 divided by 139.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -54, 0 in decreasing order.\nAnswer: 4, 0, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 13. Suppose 0 = -w - 4*f + 11, 13 = 3*w - w + m*f. Let i be ((3\/(-15))\/((-114)\/(-380)))\/(-2). Which is the closest to -2? (a) i (b) w (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2 + p - 2*p**2 - 3 + p + 0. Let h be m(2). Let q(r) = 61*r + 305. Let a be q(-5). What is the closest to h in -1\/3, -2\/7, a?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -215*m**5 + 59*m**5 - 620*m**5 - 279*m**5 + (3 - 3 - m)*(0*m**4 + 2*m**4 + 0*m**4).\nAnswer: -1057*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 13 = p, p - 5*f - 17 = -4. Suppose 17*t - p*t - 16 = 0. Suppose 5*x = -t*s + 403, 300 = 3*s - 3*x - 36. Is s a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u. Suppose 0 = 3*y - 2*y + 4*q - 22, -5*y = -5*q + 15. Let i(n) = 33 - 12 - 7 - 15. Let w(j) = y*i(j) + g(j). Give w(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + -23. Suppose w*l - 2*l = 15. Does 14 divide l\/(0 - 5) - -73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/1109557762 and 17\/8.\nAnswer: 4438231048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + q - 295, -q - 80 = 5*b + 215. Let j = 73 + b. Factor j + 13 - 10*f + 35*f**2 - 20*f**3 - 32.\nAnswer: -5*(f - 1)**2*(4*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (411 + -11)\/(-10)*(-3)\/12.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + 79 + -37 - 30\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4*(0 + sqrt(171))*-6 + -1 + sqrt(171)*-4 + 2)**2.\nAnswer: 120*sqrt(19) + 68397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1612 - 4*u**4 - 1499 + 2*u**4 - 6*u**2 wrt u?\nAnswer: -8*u**3 - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 44335 or 44345?\nAnswer: 44345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 5:37 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.006 - 0.061. Let n = w - -0.055135. What is n rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 1, -5*m + 17 = -2*m - 5*b. Let n(v) = -3*v + v + 5*v. Calculate the remainder when n(2) is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 256253346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3002 (base 6) to base 4.\nAnswer: -22022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 551 = -393. Let s = 47 - -1. Suppose -44*t = -s*t + f. List the prime factors of t.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50*l**2 - 2011 + 2012 + 38*l**2 to the form w*l**2 + r*l + s and give w.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -345733, -1382938, -3111617, -5531770, -8643397, -12446498?\nAnswer: -16941073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12503840 and 70720?\nAnswer: 2720","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 235358568.54 + -235359336.54000619. Let g = -49.7 - -817.7. Let j = l + g. What is j rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/4)\/v)**41\/(v*v\/(v\/(v**(1\/24)\/v))*v**(-1\/9)) assuming v is positive.\nAnswer: v**(-3685\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/484 and -47\/242478.\nAnswer: 58679676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3494716264 to the nearest integer?\nAnswer: 1518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239600714?\nAnswer: 2, 191, 627227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 12*o**2 + 16*o - 9. What are the prime factors of n(6)?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -410*1\/6*996\/(-830).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*g - 2*z, 4*g + z - 4 - 4 = 0. Suppose 4*t + n - 482 = -15, -g*t = 4*n - 244. What are the prime factors of t?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1640443 (base 11) to base 8.\nAnswer: 12526642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6779*s + 15493 = 937*s - 161560 + 15017 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 8*h**2 - 13*h. Let q be 4\/(-14) + (-1)\/((-14)\/(-52)). Let c(m) = -4*m**2 + 6*m. Let x(u) = q*o(u) - 7*c(u). Find the second derivative of x(p) wrt p.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (2 + -11 + (-230 - -236)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 63 in 0.03, 6, 2, 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -14350000 to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 159.8725 and -1.5?\nAnswer: -239.80875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 30\/2903 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -15*r**3 + 16*r**3 - 78089*r + 78090*r. Let h(m) = 11*m**3 - 4*m - 1. What is -h(x) - 4*j(x)?\nAnswer: -15*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 854 and 122.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 30248*l**3*t**2 - 153*t**2 + 90 wrt l.\nAnswer: 90744*l**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + l = 4 + 8, 5*l = -5*n - 90. Let q = n + 15. Suppose q = 5*h + 10, -2*k + 4*k - 240 = -2*h. Calculate the remainder when k is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 144 - 134 - 7*q**2 + 7*q - 6*q**2 + 8*q**2. Give p(-2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 3*b = -1 + 10, -2*h - 2*b = -6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 4:09 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004879954 to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 81 (b) 2 (c) 0.1 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14207 is divided by 307?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 36*r + 4. Let j be l(1). Let t = -24 + j. Solve t = 7*w - 3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (2\/(-7) - (10 - 6)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 8*i**2 - i - 2. Let c be f(-9). What is the greatest common factor of c and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -7*h**2 - 66*h - 77. Let f be v(-8). Factor -2\/3*y**4 - 16\/3*y**2 - 10\/3*y**f + 0 - 8\/3*y.\nAnswer: -2*y*(y + 1)*(y + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 6. Let s(u) be the first derivative of u**3\/3 - 5*u + 1. Let r(a) = -3*l(a) - 4*s(a). Find the first derivative of r(t) wrt t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -5.724.\nAnswer: -9.724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -33. Let t be r\/(-12)*(-3 - 0). Let x be t\/14 - (-5598)\/7. What is x rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99922\/26575*(-50)\/(-4).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 85?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59 + -57. Suppose w = 3*r - 0*w - 15, -2*r = -q*w - 10. Suppose -5*b + 9 = -y - 8, r*b = 2*y + 14. Solve y*x = 6 - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t + 77 = -43. Let f be (-6)\/12*-29 - t\/(-8). Solve f = h + 11 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-112) + 86\/16)\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000142276 rounded to 6 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*y - 56938 = 0, -82*y - 113844 = -4*c - 84*y. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*q - 2*q + 3*q.\nAnswer: -18*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -4*w, 2*w = -4*y + 5*w + 44. Suppose 2*g = y, -5*g + 8 = -2*p - 2. Solve p*u - 3*t - 15 = -55, -u - 25 = -4*t for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 345429, 345446, 345463, 345480?\nAnswer: 345497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8621719?\nAnswer: 269, 32051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6615 + 0.7915. Which is the second smallest value? (a) z (b) -0.6 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (2 + -3)) + 18 + 3 + -30?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4 = -2*q. Let o be 2\/((q + -3 + -2)\/(-6)). Suppose -3*s + 9084 = 4*b - 5*s, o*s + 9084 = 4*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**4*r - k**3*r + 43*k**3 - 2*k**2*r + 5*k**2 - 2*r wrt k?\nAnswer: -48*k*r - 6*r + 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3\/64 + -695\/192. Find the common denominator of 18\/5 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + (-4)\/4 + 2. Let i = -4 - -9. Suppose 270 = x*g - i. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-8))\/((-40)\/(-2160))*-2\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213 - 331 = 46*a + 296 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 162893 = -42*y. What is the greatest common divisor of 29 and y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.02 (b) -3\/25 (c) 22 (d) 32 (e) 4\/3 (f) 4 (g) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 12133 = 10*q - 12280, q + 4*m = 3 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-16) - (-1506)\/(-8). Let s = h + -77. Let r be (-2)\/3 + s\/(-21). Solve -3*a + r = 3*k + 3, 5*k = 25 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 296, 1\/6, -1, -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-585)\/(-6)*(-8)\/(-6). Suppose 3*o = -o + 12. Suppose -2*p + v = o*p. Does 13 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 5*a**2 + 4*a - 1. Let c be p(-4). Suppose -r - 10 = 2*l, 0*l - 3*l - 8 = -2*r. Which is greater: c or r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.8 + -2. Let y = -0.01 + -2.99. Let o = 7\/2 + -4. What is the closest to o in y, i, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.617422 to two dps.\nAnswer: 17.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 3. What is the tens digit of 10*(-6)\/(-4) + g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -118*y + 12. Let w be h(-2). Let l = 123 - w. Let a be (-50)\/l*145\/2. Calculate the highest common factor of 232 and a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 3*q - 93 + 85, 11*u - 5*q = 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.46 - 22.46. Let z = 21 + u. Which is the nearest to z? (a) -1 (b) -6 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24281*p**3 + 7641.\nAnswer: -72843*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 7:09 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**4 - 6*g**3 + 8*g = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -120.6*94\nAnswer: -11336.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 686149.2 millilitres in litres?\nAnswer: 686.1492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 88097879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (-19 - -5) - 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**2. Let c(m) = 107*m. Give w(c(h)).\nAnswer: 34347*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1198 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 7.5943.\nAnswer: 37.9715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 435 - 3904 = 0. What is the thousands digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-13)\/(4\/(-3) + 1). Let o be (-19)\/v - (-2)\/6. Put o, 2\/15, -1 in descending order.\nAnswer: 2\/15, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 1. Suppose 3*o + 2*j = 2093, -2*o + n*j = -5*o + 2078. Let d = -9 - o. What is d rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/2)\/((-4)\/(-8)*3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3\/7 + 732*t**2\/7 + 9444*t\/7 - 49680\/7.\nAnswer: 3*(t - 4)*(t + 18)*(t + 230)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15602327159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1349574.\nAnswer: 2, 3, 224929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 50523437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/(-35)*(-5)\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 7:09 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -1\/2 + 2*j**2 - 3\/2*j = 0?\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p + 120*p + 29*p - 58*p + 171*p.\nAnswer: 266*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 7 = -14*j. Sort j, 0.2, 0, 0.4 in descending order.\nAnswer: 0.4, 0.2, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/20*5*-1. Let d(t) = -879*t**3 + 4*t**2 + t - 2. Let p be d(v). Round p to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -27, -50, -73, -96, -119?\n\"Answer: -23*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 2*f - f + 2 - 3*f - 2 + f - 6*f + 3*f + (f + 0*f - 2*f)*(-6 + 1 + 1))*(2 + 2 + 0).\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x + 1. Let t(g) be the first derivative of 5*g**2\/2 + 4*g - 4. Let q(s) = 2*t(s) - 9*w(s). Determine q(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, e: 6, a: 12}. Give prob of sequence aja.\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0081 - -96.9919. Let r = -96.9944 + x. Round r to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16*(-6)\/20 - 4\/20. Put 4, a, -6, -3 in descending order.\nAnswer: 4, -3, a, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1712165?\nAnswer: 5, 7, 13, 53, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a**2 + 101*a*p**3 + 37*p**3 - 2*p wrt a.\nAnswer: -2*a + 101*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 32 - ((-17 - -15) + 19 + -5)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 13489 and 13492 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3*w + 9. Let s = -3 + w. Is 4 a factor of (-21)\/(-4) + s\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + b - 1 - 10*b)*(-7*b**4 - 19*b**4 - 29*b**4).\nAnswer: 550*b**5 + 55*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**3 - 670*c**2 + 2725*c + 4409. Determine f(-339).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -744 by 8.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7258 is divided by 137.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w + 0*w + 5 - 2*w. Let j be z(5). Let s(f) = f**2. Let l be s(j). Is -2 at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15886109*p**2*v + 95351904*v with respect to p.\nAnswer: 31772218*p*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v**3 + 2*v**2 - 3*v. What is the units digit of h(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3066 divided by -3066\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/672 and 125\/696.\nAnswer: 19488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 148614, 149494, 150374, 151254, 152134?\nAnswer: 153014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*q + 6*d - 4*d, -q = 5*d - 21. What is the remainder when 262 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u + 583. Let g(x) = 2*x. Calculate g(h(t)).\nAnswer: -4*t + 1166","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -7*m**2 + 15*m - 9. Let f(t) = -15*t**2 + 31*t - 19. Suppose w + 12 = -2*g, -5*w - g = -0*g + 33. Let o(u) = w*f(u) + 13*z(u). What is o(6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -32? (a) -0.4 (b) -100\/7 (c) -1\/6 (d) -153\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135, -139, -145, -153, -163?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3055 and 130?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 9. Let l be 4\/r*(-3)\/(-2). What is the derivative of -3 - 2*y**l + 0*y**2 + y**2 wrt y?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 96 - -20. Calculate the lowest common multiple of t and 6.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 412, 735, 850, 643, 0, -1193?\n\"Answer: -19*k**3 + 10*k**2 + 426*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**2\/6 + 2867*d\/6 + 59614\/3 = 0.\nAnswer: -41, 2908","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d + n = 5, d = 2*n + 6 + 13 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 7*k**3 + k + 1. Give p(-2).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 1013 = -3*r + 1109, -4*r - 4*o = -2792. Suppose 4*j - r = -2*j. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/m**(1\/22)*m)\/m)**(19\/2)\/(m**(1\/13)*m)**(-49))**(-15) assuming m is positive.\nAnswer: m**(-612075\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -u**4 + 160*u**3 - 3*u**2 - 88*u?\nAnswer: -24*u + 960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12510)\/17514*((-2)\/(-2))\/1?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - 2*n**2 + 0*n**2)*(-n**2 + n**2 - 2*n**3) - 51*n**2 - 21*n**2 + 913*n**5 - 917*n**5.\nAnswer: -2*n**5 - 72*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4031786?\nAnswer: 2, 11, 183263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4608510253?\nAnswer: 23, 479, 563, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**5 - 2*a**4 + 60452*a**3 - 2701334*a wrt a.\nAnswer: 20*a**3 - 24*a**2 + 362712*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 822 + -792. Calculate the greatest common factor of 900 and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9555.09 millilitres?\nAnswer: 9.55509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*d*g**2 + d*g + 52285845*d + 5745*g**2 - 2*g wrt g.\nAnswer: -8*d*g + d + 11490*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 2*l**3\/39 - 15*l**2\/13 - 32*l\/13 - 18. Factor w(q).\nAnswer: 2*(q - 16)*(q + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75) + (sqrt(75) + sqrt(75)*2 - sqrt(75))**2 + sqrt(75) + -1*sqrt(3) + -3 + 4 + (sqrt(243) + 0)**2.\nAnswer: 9*sqrt(3) + 544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -34404 divided by -47\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = -b + 5*z - 20, -5*b - 26*z + 29*z = -6*b - 7 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**3 + s**2 + 2*s + 29. Give m(6).\nAnswer: 509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 10851390459?\nAnswer: -10851390460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 6 = -f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -25. Suppose -2*q - 32 = 2*g - 5*g, q + 1 = 0. What is the lowest common multiple of f and g?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q - 522 - 519 + 1565 - 524.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4834 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12886 rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 636.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2 - c + 5. Let o(r) = -1. What is j(u) + 5*o(u)?\nAnswer: -2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*(-6)\/(-45))\/1*6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2599 is divided by 766.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 8 + 2. Find the common denominator of -15\/11 and 548\/(-80) - l\/(-8).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -36\/5, 10, 4, 2\/9, 5\/47, -3?\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -23. Let l be 19\/(-38) - (-14)\/(-4). What are the prime factors of t*l\/(-10)*81?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 14 - 14 + 9*j**2. Let b(x) be the third derivative of x**7\/2520 + x**5\/20 + 9*x**2. Let t(d) be the third derivative of b(d). What is t(g(q))?\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 480\/256*10\/(-25). Let a(n) = -n - 1. Let t be a(-3). Let v = 0.3 - 0.5. Put f, v, t in decreasing order.\nAnswer: t, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + 16. Suppose h = 3*f + 118 - 1, 0 = -2*f + 3*h - 78. Let x = f + 45. What is the lowest common multiple of c and x?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12926 not equal to 12916?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 25332\/7*r**3 + 4\/7*r**4 + 37629174524\/7*r + 53475852\/7*r**2.\nAnswer: 4*r*(r + 2111)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 18.2649 and 51.5.\nAnswer: 69.7649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1032025863?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 5*g - 2. Let u be f(-3). Let y = u - -10. Which is the closest to -0.1? (a) y (b) 4 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -6\/13*a**2 - 4\/13*a + 0 + 14\/13*a**4 + 6\/13*a**3 + 6\/13*a**5 = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -17*x**5\/120 + x**4\/3 - 209*x**3\/3 - 3. Let g(j) be the third derivative of u(j). Let i(h) = -h**2. What is i(g(b))?\nAnswer: -289*b**2 + 272*b - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/84)\/((-1)\/8).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18323 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + u - 6*u + 26, u = s - 6. Suppose -10*j = -s*j - 15. Suppose -4*p = -0 - 8. Solve -p*t - 6 = -j*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 168 and 252.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in -1\/2, 0.5, -23?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**3 - 7*d**2 + 31. Let m(o) = -o**3 - 4*o**2 + 16. Calculate -7*m(t) + 4*u(t).\nAnswer: -t**3 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*i + 14 + 250 = 0, -3*o = i + 264. Let h be (o\/(-55))\/((-2)\/(-5)). Sort -8, 2, h in increasing order.\nAnswer: -8, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from smmccmmccs. Give prob of sequence scc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/((t\/(t*t**(-3)))\/t*t))**(11\/2)\/(t\/(t*t**(2\/11)))**(-2\/19) assuming t is positive.\nAnswer: t**(-2307\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 260569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6720, 13438, 20156?\nAnswer: 26874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17899 - -17899.11277. Let f = -242.111 + 242. Let k = f + h. What is k rounded to 4 decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -389570287*t**2 - 11*t + 299376 wrt t.\nAnswer: -779140574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1840047.\nAnswer: 3, 11, 37, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8862 and 58447.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 20*a**4 + 8*a**2 - 8*a + 11. Let r(d) = -d + 3*d**2 + d**4 - 2*d + 4 + 6*d**4. Let u(t) = 3*c(t) - 8*r(t). Find the first derivative of u(o) wrt o.\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) -4\/5 (c) 4 (d) -0.4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206282?\nAnswer: 2, 103141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29204 is divided by 2919?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -65 - -68. Let w = -5 - -8. Let z be 0 + 1 - w\/v. Solve -10 + z = 5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3. Let x(f) = -5 + 1 - 3*f + 2*f + 8. Let r be 2\/(-9) - (-377)\/117. Let n = r - 5. Calculate n*x(v) + 3*b(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 249.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 11*b**2 - 18*b + 5. Let r(k) = 4*k**2 - 6*k + 2. Let c(t) = 8*r(t) - 3*s(t). Let y be c(5). Suppose y + 11 = j. List the prime factors of j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o**2 - 3*o**2 + 114 + 120 - 236 - 19*o**3 to the form f*o + m + q*o**2 + r*o**3 and give r.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14c5b - -15?\nAnswer: 14c72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*4\/12 + -2. Let j be v\/(-12)*2 - 0. Let u be 2*-1*9\/54. Which is the closest to j? (a) -2\/9 (b) u (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(243) + (-1 + sqrt(243))*3 + 4 - ((sqrt(243) - ((sqrt(243)*-1 - sqrt(243)) + -2)) + 5)))**2.\nAnswer: -198*sqrt(3) + 364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11383 + -15?\nAnswer: -11408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1489000 rounded to the nearest 10000?\nAnswer: 1490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 6*b - 3. Let n be q(-7). Suppose -r - n*r - 15 = 0. Let v be 10\/r*(-3)\/1. Solve 2*p = -3*w - v, -5*w - 15 = 2*p - 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 + 28. Let h(j) = -3 + 2*j**3 + 5*j + 2*j**3 + 12*j**2 - k*j**3 - 6*j**2. What is h(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, i: 9}. What is prob of picking 1 z and 1 i?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 671*r + 143*r + 265*r + 10790 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 2*y + 1. Let z be u(-3). Suppose -3*g - z = -4*g. 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(t) = 462*t - 922*t + 453*t - t**3 - 6*t**2 - 9. Determine f(-6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (560\/(-100) + 4)*-1090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3965 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 178871*i**4 + 164415.\nAnswer: 715484*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*l - 5*c - 15 = 0, l - 3 = 2*c. Suppose 6 = 3*n + 3. Sort l, n, 3 in descending order.\nAnswer: 3, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-125 + 319 - 100)*(2*k - 3*k + 0*k)*(0*k + k + 3*k).\nAnswer: -376*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4*n = 2*n - 56, -2*n + 16 = 2*i. Suppose -g + 4*q + 1 = -i, -g + 5*q = -16. What is the remainder when (-1 - 1*-2)*2 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13204 + -9324. List the prime factors of h.\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 8:10 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72191 and 119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23340?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -215*f - 561. Is 11 a factor of d(-36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/16 + (-207)\/24. Let z be 1066\/(-18) - 2\/l. List the prime factors of (z*2\/2)\/(-1).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(5\/6)*g*g**(2\/19) assuming g is positive.\nAnswer: g**(221\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*f - 21. Let t = 8 + f. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(0 - 0 - -1). Suppose -4*r + 85 = -27. Let d = r - 28. Is d < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9\/10 of a microgram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 8 = 3*d + 4*r, -5*d - 5*r = 20. Let a(v) = d*v - 2 + 0 + 5 - v. Calculate a(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -10*h + 17. Find g, given that g**3 + 6*g**2 + 2*g**2 + h*g - 8*g**2 + 3*g**2 + 1 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 425 divide 18725500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-38)\/10)\/(4\/(-20)). Let z(c) = 2*c + 42. Let i be z(k). Suppose -2*b - 10 = -i. Does 21 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a - 2*a**2 - 6*a - 2 + a**3)*(-4 - 4*a + 4).\nAnswer: -4*a**4 + 8*a**3 + 8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 - 5*k**3 - 3*k**2 + 17*k - 10.\nAnswer: (k - 5)*(k - 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 182 and 53767.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30)\/(-195) + (0 - 76\/(-13)). Suppose -18*g = -m*g. Let t be (1 - 2\/14)\/((-5)\/(-35)). Solve -t*a + a = g for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 5*v**2 - 3*v**2 - 4*v**3 + 11*v**3)*(-3 - v**2 + 3) + 3 - 2*v**5 - 3 + (2*v**4 - 3*v**3 + 3*v**3)*(-v - 7*v + 2*v).\nAnswer: -21*v**5 - 2*v**4 + 5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**2 - 5*a**2 + 5*a**2 + (a - 2*a + 0*a)*(-2 + 2 - 3*a) + (-3*a - 4*a + 6*a)*(-2*a + 4*a + 3*a) to c*a + u + y*a**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 6. Suppose 0 = 5*l + 4*z + 3, -k = 3*l + 4*z + 3. Solve 0 = 2*h - s + 13, -h - s = -0 - l for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65991.27 months to millennia.\nAnswer: 5.4992725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36002, 71919, 107836, 143753, 179670?\nAnswer: 215587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3404 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3313b40 (base 12) to base 4\nAnswer: -211013332200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o + 10 + 8 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13481 is divided by 3118?\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 10*j + 10. Let y be 22\/((-3)\/(-6)*-4). Is l(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24731 is divided by 12254?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 6 - 14. Suppose 120 = -r*y + 2*y. Let p = -18 - y. What is the highest common divisor of p and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((4\/14)\/1)\/((-138351420)\/(-4323480) + -32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 246090 and 430170?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -7. Let j(o) = 0*o + 5 - 1 + o. What is the units digit of j(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91710713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2 + 2*a - 6. Let z(g) = 1. What is f(s) + 5*z(s)?\nAnswer: 2*s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50)\/sqrt(2) + sqrt(25) - sqrt(25))*1 - sqrt(150)\/sqrt(6)*-3)\/(4*sqrt(50)\/(2*sqrt(1210) - sqrt(10))) + -3.\nAnswer: -3 + 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 591.9013 weeks to milliseconds.\nAnswer: 357981906240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -7, -0.064, -118.3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 59600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 2*l + 1. Calculate d(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2020052 to 4 decimal places.\nAnswer: 0.202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2584 and 584188.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 9*m**2 + 4*m. Let q(s) = 5*s**2 - s - 2. Let w(h) = -8*h**2 + h + 3. Let o(j) = -3*q(j) - 2*w(j). What is 4*o(d) - z(d)?\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/3 + 58\/(-66). Let m = 1 - -3. Let n be (3\/(-6))\/((-7)\/(-4)). Which is the nearest to -0.1? (a) q (b) n (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364581395.\nAnswer: 5, 23, 149, 21277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 29. Let f be (2 - 48\/q)*(-5)\/2. Let s be 40\/30*1\/f. Which is the biggest value? (a) 0.02 (b) s (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 2209 - 2208.99999371. Round c to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7729427 to the power of 1\/2, to the nearest integer?\nAnswer: 2780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*d - 4, 3*p + 2*d = 149. Suppose -w - 22 = -2*l, 4*w - 2*w + p = 5*l. Let i = 20 + w. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -1\/23, 20.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*x + 336 = -126 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01837 and 128.\nAnswer: 2.35136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 5618151?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0370662897 to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 10*u + 150. Give w(-16).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.5 - 3.2. Let l = -0.2 - g. Round l to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 211 + -151. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -7.\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49628*w**2 - 54721*w**2 + 100261*w**2 + 1467*w wrt w.\nAnswer: -8176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43693621411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2318334 divided by 158\nAnswer: 14673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 19, -20, -4 in ascending order.\nAnswer: -20, -4, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 3*m - 210 + 209, -4*t = -3*m - 11. Let c = 0.09 - 0.1. What is the nearest to 1 in t, -0.1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 129654455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9525.726l in millilitres?\nAnswer: 9525726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -22, -2 in ascending order.\nAnswer: -22, -2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 16*g + 2142 = 0. Let c = g + 308. Solve -o + c = 6 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) - (-4*sqrt(468) - sqrt(468)))*1.\nAnswer: 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55 and 53317735.\nAnswer: 586495085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 2 = -3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -h**7\/21 + 8*h**6\/45 - 5*h**4\/9 + h**3\/3 + 2*h**2\/3 - 5*h. Determine l, given that w(l) = 0.\nAnswer: -1, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -221756 (base 12) to base 16\nAnswer: -844f2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1150\/79 at most as big as -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 6818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/2*g**2 + 755\/2*g + 0 = 0.\nAnswer: -755, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 141, -1.\nAnswer: -5, -1, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(104)*-2*-6 - -2*(sqrt(104) + -1*sqrt(104) - sqrt(104)))\/(sqrt(1568) + (sqrt(1568)*4 - sqrt(1568)) - sqrt(1568)).\nAnswer: -10*sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 3*o**2 + 6*o. Let k be q(-5). Let v be 8\/k + (-294)\/(-15). Suppose 3*u - v = -5. What is the second smallest value in 0, 2\/5, u?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 8 = -2394*p + 2390*p + 70 - 7, 0 = 3*p - 2 + 17 for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 16. Is 2\/7 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -9*u**2 + 5*u**2 + 3*u**2 + 16*u + 15 + 2*u**2. Let q be t(-16). Solve -6*m + q = -3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zhwsssksw. Give prob of picking 1 s, 2 w, and 1 k.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-34 - 3\/(24\/16))*-12. What is the greatest common factor of 1488 and a?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2*v = -72, 2*k + 4*v - 16 = -0*k. Let j be (-4)\/(-26) + (-56)\/26. Let n be ((-1)\/k)\/(j\/12). What is the smallest value in 5, n, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -6842*b + 130003. Determine t(19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + (-1 - -2) - -2. Which is smaller: v or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -357503480 divided by 4.\nAnswer: -89375870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/(-12))\/((-27)\/756*7))\/(2\/84)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3454140 and 13202.\nAnswer: 991338180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (763\/70 + 5\/(-2)*104\/65)?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c. Let q(h) = -h - 3. Let x be 6*4\/3 - (1 + 6). Determine x*q(y) - 3*n(y).\nAnswer: 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 14*p + 5. Suppose -4*f + 3*o = -31 - 1, 4*f = 2*o + 36. Calculate the remainder when i(f) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3c0c (base 15) in base 16?\nAnswer: 3225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -235*f + 5163. Let r be g(22). Sort -1, 45, -4, r, 1.\nAnswer: r, -4, -1, 1, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.75 + -0.25. Let g = v + 9. Let i = -2\/155 - 767\/620. What is the nearest to -1\/3 in g, i, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 9*r**4\/4 + 2*r**3 - 9*r**2\/2 - 6*r - 11. Factor w(a).\nAnswer: 3*(a - 1)*(a + 1)*(3*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 4*t + 18, -3 = s - t - 12. Find the second derivative of -65*p + s*p**2 + 10*p**2 + 99*p wrt p.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-66)\/231)\/((-80)\/35)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1093 - 4445\/4. What is the common denominator of h and 61\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 + 3*z**2 - 3*z**2)*(18 + 4*z - 39 + 20)*(z - 4*z + 2*z).\nAnswer: -8*z**5 + 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 5*v - 2*j, v + 0 = 3*j + 4. Suppose -8*x - 18 = -v*x. Suppose -r + 20 = f - 8, 0 = 5*r + 10. Calculate the least common multiple of x and f.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 19*b - 14*b + 26 = 0, -b - 10 = -2*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 9:53 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 60308.69l?\nAnswer: 60308690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in -27, -2, -1, -0.015, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1431 and 159?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1320322.8 (b) -4\/5 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (0 - -11) - -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305 = -8*f + 4*f + 2*h - 295, 7 = 7*h for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/(-21)*10\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + (2*(sqrt(104) - sqrt(104)*3) - sqrt(104)))\/sqrt(8).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)*1*-3.\nAnswer: -9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 606 by -115.\nAnswer: -606\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3083851 rounded to four dps?\nAnswer: -0.3084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 - 45*k - 640. Give y(-12).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3 = -d - 0*o, d = -4*o + 17. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**2 - 3*i**2 + 5*i**2 + (4 - 4 - 3*i)*(-2 + 2 + 2*i).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*j - 49*j + 20*j - 65*j - 222*j + 41*j.\nAnswer: -415*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 22*s**2 - 157*s + 96. What is the units digit of z(29)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - t + 46, 4*n + 82*t = 47*t + 84 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383*r - 159705 = -162*r + 293*r - 1269*r for r.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 67443970 divided by -923890?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -504.2806 to the nearest integer.\nAnswer: -504","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 26*a**2 + a. Let t(s) = -77*s**2 + 276*s - 2. Calculate -3*n(l) - t(l).\nAnswer: -l**2 - 279*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 11:36 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -31*q**2 + 102*q - 22. Determine w(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/(-12) + (-1431)\/81?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 - -4 - (4 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1253, -2816, -4741, -7208, -10397, -14488, -19661, -26096?\nAnswer: -33973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3*0.76489611\nAnswer: -2.29468833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17915 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19908133891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-10)\/((-100)\/(-795)))\/(15\/(-80)) and 318?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2927808, 5855624, 8783440, 11711256, 14639072, 17566888?\nAnswer: 20494704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 1:34 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2122 - -11001111200?\nAnswer: 11001121022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*g - 3 - 18*g - 2*g)*(1 - 3 + 0)*(-2 - 1 + 4)*(1 - 5 - 2).\nAnswer: -324*g - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20212103 + -11?\nAnswer: -20212120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 39*s + 2454. Let k be o(-63). Let c be 6*(2 - (-65)\/(-33)). Sort k, c, 6 in descending order.\nAnswer: 6, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**2 + 0*k - 2*k + 21*k**4 - 12*k**4 - 15*k**4 to the form q + z*k**4 + m*k + a*k**2 + j*k**3 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.95 + 0.05. Let v = -751\/6 + -133\/2. Let k = -190 - v. Is w at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -2. Suppose -2*r = -w - 268. Suppose -149 = -3*t + r. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 476?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*o = -518, -10*g + 7*g + 4*o = -508. Calculate the greatest common divisor of g and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78 and 286?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 33 - 30*q - 68 + 33 as z + c*q and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121223 - -33?\nAnswer: -121130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1356 + 1358. Factor -2 - 1\/2*l**y - 2*l.\nAnswer: -(l + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2772 = 7*d. Let r = d - -647. List the prime factors of r.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2 + (-42)\/(-20))*(-330)\/(-8) and (-116)\/48 - (-2)\/2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-8)*-1)\/1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - 4527\/1035 - (-3)\/5. Let u = d - -4\/23. Let v be 0 + 1 - (-2)\/(-5). Which is the nearest to -0.2? (a) v (b) 1\/6 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 8, 4\/5, 1, -5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*t = -373*t + 734 - 36550 for t.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52472 + 159063. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 44617 - 479807 = 59*o. Round o to the nearest 100.\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6, 28, 84, 192, 370, 636, 1008?\n\"Answer: 3*i**3 - i**2 + 4*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/20 + 10854\/540. What is the greatest common divisor of n and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, d: 2, h: 3, b: 2, c: 1, t: 3}. What is prob of picking 1 b and 1 h?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-22)\/(-18)) + 14467\/(-14076)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/10*(-5)\/(110\/4). Suppose -2*z - 3 = -5*z. Which is smaller: z or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**4\/2 + 13781*b**3 - 189085701*b**2\/2 - 5731979330*b + 66760302350 = 0.\nAnswer: -70, 10, 13811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 4. Let v = 7 - q. Let l = v + -10. Which is greater: 2 or l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24432727\/418 + (-1 - 1*2\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 2118977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + j - 2*j + 11*j + j**4 + (j + 1 - 1)*(3*j**2 + j**3 - 3*j**2) in the form v + n*j + y*j**2 + t*j**3 + x*j**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - 2*n + 26, -5*n + 55 = -3*y + 8*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -694 divided by -12941?\nAnswer: 694\/12941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 13*j**2 + 25*j - 44. Let g be o(11). Let s(b) = -2 + 0*b - b - b. Let h(w) = 10*w + 10. Calculate g*s(y) - 2*h(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5152 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4 = -0*u. Let o be 41\/(-205) - (1 - (-18)\/10). Which is greater: u or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3594 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, v: 4, j: 4, f: 5, w: 1}. Give prob of sequence wjjf.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 19 + 147 + 72 - o**2 + 7*o + 5*o. Let h be l(0). Let k = 3 + 31. What is the greatest common factor of k and h?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(((-76)\/(-57))\/(2*-1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 + -6)\/(4\/2868*(-30)\/35) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 5263 = -5279 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-4*sqrt(108)*1 - sqrt(108))\/sqrt(6))\/((sqrt(9) - sqrt(72)\/(sqrt(8) + sqrt(8) + sqrt(8)*1))*5).\nAnswer: -3*sqrt(2)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 19 = -m + 4*t, 5*m = -2*t + 23. Let d be ((-3)\/(-3))\/(m\/30). Solve 2*z = l - d, -3*z + 4*l + l = 22 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7}. What is prob of sequence eeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93743?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -67.73 (b) 0.055 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22.4 - -1165.9.\nAnswer: 1188.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11, -26, -43, -62, -83, -106?\n\"Answer: -i**2 - 12*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2. Suppose 4*y - 28 = 5*q, 5*q = 2*q - 12. Let x(g) = 0*g - 8*g**y + 0*g + 0*g. Calculate f(x(k)).\nAnswer: -64*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/2)\/(-4*9\/(-216)). Solve -5*c = -5*x - 5, -d = x - 3*c + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*k - 6*k + 2*k**3 - 2*k + (-4*k**2 - k**2 + 4*k**2)*(-3*k + 4*k - 3*k) - 50*k**3 - 52*k**3 + 16*k**3.\nAnswer: -82*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 9*i**3 - 15*i**3 + 5*i**3 - 11 + 7*i + 2*i - 4*i**2 - 5*i**2. Calculate x(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a millennium in months?\nAnswer: 31500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -348530*x**2 - 462212*x**2 + 250534*x**2.\nAnswer: -560208*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 5 - 4 + 2*s + (-6 + 6 - 3*s)*(-4 - 3 + 6) - 2*s - 2*s + 6*s - 143*s - 10620 + 10620 as m*s + f and give m.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + i. Let p be 7\/28 + (-13)\/4. Let f(c) = c**3 - 4*c**2 - 3*c - 4. Let n(q) = p*w(q) - f(q). Let l be 2*1\/2 + -1. What is n(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-1\/28))\/(s*s\/(s**(-6)\/s*s*s)))\/(s**(-2\/55)\/(s\/s**(5\/4))))**(-1\/18) assuming s is positive.\nAnswer: s**(401\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4162, -5487, -6812, -8137, -9462?\n\"Answer: -1325*f - 2837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lccwlcfccllclllll. Give prob of sequence fw.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 48446362816 and -1.\nAnswer: 48446362815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 9\/3)*4. Suppose -5*u = -v + 1045, 0*v + g*v + 860 = -4*u. What is u rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-605)\/(-280) + 315\/(-168).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 490 and 245.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 2, -2\/19, -1\/3, 5\/3, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*s - 175 = 4*f - 41, s + 1602 - 3200 + 1593 = 0 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -251.74 + 251.7. Put -1\/8, 2, a in increasing order.\nAnswer: -1\/8, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.122 - 35.878. Let f = h + 40. Suppose 8*c + 3 = 9*c. Sort 0.3, f, 0.02, c in increasing order.\nAnswer: 0.02, 0.3, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -109 (b) 0.04 (c) -4 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a century in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/27 (b) 1\/8 (c) 5 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2627.4 minus -0.191?\nAnswer: -2627.209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 13373220.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-10)\/(-4)*(10017\/405)\/53.\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -422 by -2430.\nAnswer: 211\/1215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4.1 and -295379.\nAnswer: -295383.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t - 37. Let z be q(33). Suppose 5*v + 63 = -42. Let r = v + z. What is the highest common divisor of r and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1\/3, 0.4, -10?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1450.06218576 - 5\nAnswer: 1445.06218576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -667, -1352, -2037, -2722, -3407, -4092?\n\"Answer: -685*c + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*c**2 - 9*c**2 + c**4)*(9 - 3 - 4) as g*c + r*c**4 + z*c**2 + o*c**3 + f and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 985*r + 22323 - 77483 = 0 for r.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*b - 13. Suppose 9*g - b*g - 20 = 0. Solve a - 2*o = -1, -8 - 18 = -g*a - 2*o for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1633302 divided by -18.\nAnswer: 90739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 4)*(5 + 5 - 4)*(-150*p - 217*p - 87*p) as s + l*p and give l.\nAnswer: -8172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2667*s**2 + 3084 wrt s?\nAnswer: -5334*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 159 (b) 9 (c) 5 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8466 + 4303. Is 0 at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44847833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -517914500 to the nearest one million.\nAnswer: -518000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 253.9 + -253.92029. Round m to 4 dps.\nAnswer: -0.0203","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 4, 169, 3, -1, -4, -125.\nAnswer: -125, -7, -4, -1, 3, 4, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 11:53 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 496 and 3782.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 4, -21?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 683 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 smaller than 12696?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6226884\/161 - -38676. What is the common denominator of y and 29\/56?\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 172\/36 - 6\/(-27). Suppose w*i = 9 + 6. Suppose -2*v = 5*k + i*v + 35, 0 = -5*v + 20. Is -10 <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 406*o - 2835. Let s be d(7). Calculate the highest common divisor of 3199 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88860 is divided by 22215.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 9*z**3 - 16*z**2 + 10*z + 29. Let h(d) = 16*d**3 - 31*d**2 + 20*d + 47. Let j(y) = 4*h(y) - 7*r(y). What is j(11)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 135*w**3 + 285*w**2 - 110*w = 0?\nAnswer: -22\/9, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(9\/4)*1224\/272. Suppose -3*n = k*n - 27. Solve 5*z = -5*p, -2 = -4*z - n*p + p for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 e when three letters picked without replacement from {l: 11, e: 3, r: 1}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 32035, 64064, 96093?\n\"Answer: 32029*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1064 = -3*s + 2*s + 3*q, 2128 = 2*s - 3*q. Suppose -3*h + s = h. Let m = -187 + h. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {d: 2, p: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50052.8ug to tonnes.\nAnswer: 0.0000000500528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)\/(sqrt(968)*-1) + 0)*-6)**2.\nAnswer: 612\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 794 is divided by 100?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q = -4*p + 3*q + 8, -4 = 5*p - 2*q for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-3683\nAnswer: -1841.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 - 179*t**2 + 83*t**2 - 187*t**2.\nAnswer: -281*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 1561*p + 1. Let u(c) = 3104*c + 2. Determine 9*k(g) - 5*u(g).\nAnswer: -1471*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 324 - 395. Which is bigger: h or -69?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 3.57, -2\/9 in decreasing order.\nAnswer: 3.57, -0.2, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**4\/6 + y**3\/2 - 2*y**2 - 26*y\/3 - 8 = 0.\nAnswer: -3, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 8:02 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fnnf when four letters picked without replacement from efeffneennene.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-24)*3*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 86100 and 675?\nAnswer: 774900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**3 - 1305168*i**2 + 1305168*i**2.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.79 and 39.3.\nAnswer: 38.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1751, -3558, -5365, -7172, -8979?\nAnswer: -10786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 19) + (-15 - 12) + 70\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -158? (a) -1\/7 (b) 1\/4 (c) -3 (d) 14290 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/((-2)\/12*(-45)\/(-70)). Find the common denominator of ((-1032)\/b)\/(36\/14) and -81\/116.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, q: 2, y: 1, u: 1, e: 1, h: 5}. What is prob of sequence kkhk?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1152998.6 - -1152998.639098385. Let h = 0.0391 - z. Round h to seven dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 7 = 3*a + 3*t, -3*t + 5 = 4*a. Let v(o) = -a*o**2 + o**2 + 0*o**2. Let n(h) = -12*h. Let f(w) = -5*w. Let z(k) = -10*f(k) + 4*n(k). Give z(v(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(147) - (-1*sqrt(147) + 5)))**2.\nAnswer: -84*sqrt(3) + 597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2 - 23*v - 9. Let o be k(-11). Suppose -n + o*n = -2*a + 1545, 5*a = 5*n + 3825. Is 21 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*p + 11 = 6, 3*t + 2*p = -2. Suppose 0 = -5*s - 5*v + 55, 4*s + t - 26 = 2*v. Solve -s = h + h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and 541545.\nAnswer: 541545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g**2 - 7. Let b(z) = -17 - 13 - z**2 - 12 + 39. Let t = -10 - -7. Give t*v(y) + 7*b(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1313 and 5584391?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 6) to base 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 2. Let w = -87 + 81. What is the third smallest value in w, -3\/5, o?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88b15 (base 13) in base 3?\nAnswer: 110121010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 - 560 = -2*j. Let a(w) = j*w + 2 - 314*w - w**3 - 5*w**2. Does 8 divide a(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -3. Let w be (5\/((-15)\/12))\/(-7 + 6). Suppose w*v + 2 = 42. Solve 5*c - 14 + 0 = t*l, -v = -5*c for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, p: 3, u: 1, v: 4}. What is prob of picking 1 b and 2 v?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 811, 1621, 2433, 3247, 4063?\n\"Answer: b**2 + 807*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4003792 to the power of 1\/2, to the nearest integer?\nAnswer: 2001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 892\/100 - 4\/(-50). Solve 3*q - r = -6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 9*f**2 + 8*f + 1. Let d be h(8). Let n = d - -28. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 15*d**3 - 2*d**2 - d + 1. What is u(2)?\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p + 1. Let i be j(-2). Suppose i - 7 = h. Let n be (0 - 0 - h) + -1. Sort -3, -1, n in ascending order.\nAnswer: -3, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1978333376 to the power of 1\/3, to the nearest integer?\nAnswer: 1255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 391 = 2296. Let m = b - 357. Solve 4*t = 2*f + 10, 1 = 3*t - 5*f - m for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (609411\/59)\/(3\/8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4031577 or 4031579?\nAnswer: 4031579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 163 by 1599.\nAnswer: 163\/1599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of 1\/3*q**3 + 11\/30*q**5 + 1\/8*q**4 + 0*q + 4*q**2 + 0. List the prime factors of a(-1).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 9*g + 11. Give w(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -15. Let o = s - 7. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 1 = -2*n + 15, -3*q = 4*n - 4. Suppose 4*b = -2*v - 10, -n*b = 3*v - 2 + 7. Let f = 4 - -1. Solve f*z + 18 = -3*x, -x + 2*z + v = -0*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.8 + -1.1. Let y(t) = 10*t. Let p be y(1). Let f = -20840 + 20840. Put o, p, f, 1 in descending order.\nAnswer: p, 1, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -5*a + 7*a. Let q be a\/15 + 4\/10. What is the nearest to 1 in q, -1\/2, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*m**3 + 10270*m + 13732*m - 10*m**3 + 1.\nAnswer: -m**3 + 24002*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*j - 12 = -113 + 621 + 592 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 414350 (base 11) to base 13.\nAnswer: 1a3661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 26011 + 16969 = 5*r, -34393 = -4*r - c. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 24. Let r be -3 + (-2)\/2 + 3. Put r, y, 3 in descending order.\nAnswer: 3, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*a - 3*x, 3*x + 2*x - 2 = 2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.8746037*0.3.\nAnswer: 1.76238111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((16 - -35) + -57 + (-2)\/(-12)).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from npvkhrv. Give prob of picking 1 v, 1 p, and 1 r.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -2*r + 2, -9*y + 289*r = 294*r - 100 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*v + 0*v**2 + 6*v**2 - 5*v - v**2 + 0*v**2 - v**2 - 5*v**2 + 3*v**2 + 0*v**2 + 2*v**2 - 2*v + 2*v + (2 - 2 + v**2)*(-3 + 1 + 3).\nAnswer: 5*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080171847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8527.\nAnswer: 8527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 60731 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zfz when three letters picked without replacement from {f: 4, k: 2, e: 1, z: 2, p: 2, i: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j**3 + j**2 - j**3 - 2*j**3)*(-148994 + 148994 - 2600*j) to the form p*j + l*j**4 + m*j**2 + s*j**3 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**5 + 34*t**4 - 126*t**3 + 54*t**2 + 216*t = 0.\nAnswer: -1, 0, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4342 + 116440?\nAnswer: 112065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-3)*(-6)\/4. Let m be 2 - (-1 + 1\/x). Let n be -1 + 3\/6*10. Solve 6 = m*k - n for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11926, 13671, 18506, 28009, 43758?\nAnswer: 67331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.448 to 0 dps.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 28060 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -17387845*0.3\nAnswer: -5216353.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(18\/10) - 12\/(-36). Let v be (-195)\/(-115)*t - 3. Let o be (-3)\/9 + -3*4\/18. Which is greater: v or o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13440*c*t*v*y + 8*c*t + 17*c*v**2 + 72*t*v**2 + 29563*t*v*y - v**2 wrt c?\nAnswer: -13440*t*v*y + 8*t + 17*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-12)*(-2 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 5 + 2 - 3 - 3*z.\nAnswer: -3*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -412996695 divided by -15\nAnswer: 27533113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2606?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20602911 to the power of 1\/2, to the nearest integer?\nAnswer: 4539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/80 of a kilometer?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 402811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.067 (b) -0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bmt when three letters picked without replacement from bqqbwmqbwbqbbbqtbmm.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/(-4) - 2)*4. Let d be ((-1)\/(v\/20))\/(-1). Let z be (3\/9 - -5) + (-2)\/6. Solve 2*c + r + d = 0, 2*c + z + 2 = -3*r for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 747331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xf when two letters picked without replacement from {x: 5, f: 2}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2 = 2*x, 3*n - 4 = -x + 5. Suppose -569*b = -587*b. Solve b = 2*q + x*u + 22, -3*q - u - 3*u = 31 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 12*h**2 - 4. Let d be j(-12). Let s be ((-8)\/(-5))\/(d\/10). Let i be (1\/8)\/(s\/24*2). Which is the nearest to -2? (a) i (b) 1\/2 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3765, 14646, 32801, 58248, 91005?\n\"Answer: 3*i**3 + 3619*i**2 + 3*i + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fcu when three letters picked without replacement from {q: 2, f: 2, v: 2, u: 1, c: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**3 + 335519490*h**2 - h**3 - 335519490*h**2.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*a - 2*g = 147*a - 32, 4*g - 20 = -3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + (sqrt(325) - sqrt(325)*-3)*2)**2 + sqrt(325) - sqrt(325).\nAnswer: 26325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-6))\/(7\/(-8) - 1)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -4310431?\nAnswer: 4310433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11443317 (base 9) to base 16.\nAnswer: 552220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -112*t**2. Let u(n) = 2*n**2 - 5729585*n. Give u(a(k)).\nAnswer: 25088*k**4 + 641713520*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 s, and 2 x when four letters picked without replacement from {x: 2, w: 2, q: 1, s: 4, d: 6}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/115 and 57\/115.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 905.8246 meters?\nAnswer: 905824.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-17 - (-20 - -10))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (29 - (27 + 29))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4*u = -796, 5*l - l - 5*u = 604. Suppose 0 = 4*v - l - 196. Suppose -4*d + c + 14 = -58, 0 = -4*d - 3*c + v. What are the prime factors of d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + r - 2*r)*(r - 2*r + 0*r) + (2*r**2 - 4*r**2 + 3*r**2)*(4 - 3 - 2) + (-4*r + 4*r - r)*(-r - 2*r + 2*r) - 2*r**2 - 1 + 1.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*h = h + 25, -h - 5 = -5*u. Suppose 3*m = 2*o + 1, u*m - o = -3*m + 5. Suppose -12 = -l + 2*l - m*a, -2*a = -l - 7. Solve 12 = -0*i + l*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 2*j - 232, -j - 388 = 3*w + 4*j. Let p = -73 - w. What is the units digit of (-4)\/(-6) - p\/(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*t - 44*t = 20. Solve -t*i + f + 3*f = 5, 3*i + 4*f - 29 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + (-5 + 1 - -3) - -587. Suppose -12*q = -u - 1102. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 602022710 by 301011355.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4173705623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4902.283324491 from -0.12.\nAnswer: 4902.163324491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (1 + 3 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qj when two letters picked without replacement from eqj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -150*m**3 + 12*m**2 - 60*m + 12. Let o(x) = x**3 + x**2 - x + 1. Let t(g) = c(g) - 12*o(g). Let r(v) = 17*v**3 + 5*v. Give -48*r(d) - 5*t(d).\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/((-47)\/(-20)) - 25599\/1281?\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 1 - 1 + a**5)*(3 + 0 - 4)*(3 - 4 + 2).\nAnswer: -a**5 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -60?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u. Let i(l) = -8*l + 48. Let y(r) = -2*r + 16. Let j(f) = -2*i(f) + 7*y(f). What is p(j(s))?\nAnswer: 6*s + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/1)\/(-1 - 1). Suppose h = -5*k + 3*y + 8 + 8, -2*k = 2*y. Solve -3*t**3 + k*t**3 + t - 4*t**4 + 3*t**4 + t**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + sqrt(35)\/(sqrt(7)*-1) + sqrt(5) + -4) + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91765030.\nAnswer: 2, 5, 7, 911, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -185*x**5 - 190*x**2?\nAnswer: -11100*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 11:26 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-27 - -33) + 0 + -5 + -2 + 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*y**3 - 4*y**3 + y**3)*(0*y**2 + y**2 - 2*y**2) + 44*y**5 - 3*y + 5*y - 49*y**5.\nAnswer: -13*y**5 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, u: 11, v: 1}. Give prob of sequence uvuj.\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wfzfvgvr. What is prob of sequence rvfw?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 7:02 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**3 + 763*a**2 + 16464*a + 7255. What is k(402)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3906 by 2617.\nAnswer: 3906\/2617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-4))\/(8\/(384\/18)). Factor 3\/11*v**2 + 1\/11*v**5 + 0*v + 5\/11*v**o + 7\/11*v**3 + 0.\nAnswer: v**2*(v + 1)**2*(v + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-43 - -49) + -1 + -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -78*z - z**4 - 3 + 36*z + 43*z + 2*z**3 as j*z + g + a*z**2 + t*z**3 + b*z**4 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*w - 15*w - 1119 - 1198 = 1340 for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12726895*r**2*x - 7*r*x + 1238*r - 3*x - 26 wrt r.\nAnswer: -25453790*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 880783*g**3*h*u**3 - 42*g**3 - 156*g*u - 3*h*u**5 + 3*h*u + 21*u wrt u.\nAnswer: 5284698*g**3*h*u - 60*h*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, n: 1, x: 7, j: 7}. What is prob of sequence jjxe?\nAnswer: 7\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = b + 3, -12*a = -5*b - 10*a - 38 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1171 + 571*l**2 - 1171 + 7*l - 9*l + 8*l**3 in the form u*l + t*l**2 + b*l**3 + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 3549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-three quarters of a millennium?\nAnswer: 1325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-616)\/462)\/(4\/(-145686)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1916 + -15253\/8. Suppose 57\/4*d**2 - q*d**3 + 3*d**4 - 3\/8*d**5 - 21\/2*d + 3 = 0. Calculate d.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11118040 to the power of 1\/2, to the nearest integer?\nAnswer: 3334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and -19.5356.\nAnswer: -17.5356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 2*s + 31*s + 11 + 4*s + 1 as j*s + u and give u.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is 33832.1 rounded to the nearest 1000?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7612419, -15224827, -22837235, -30449643?\n\"Answer: -7612408*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (21\/6)\/1*2. Let p = x + 1. Solve -3*u - 4*n - 31 = 0, -4*u + 0*u + 3*n - p = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3115, 6294, 9651, 13258, 17187?\nAnswer: 21510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 1 - (52 + -59)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i = -4*h - 2*i + 756, -3*h = -2*h - 4*i - 253 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -19. Sort -3, 1, -4, x in descending order.\nAnswer: 1, x, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -313002 (base 4) to base 3\nAnswer: -11211110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhmm when four letters picked without replacement from {h: 5, m: 15}.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 244 - 199. Let k = -64 + d. What is the second smallest value in k, -3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*s**2 + s**3 - 53*s**2.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 25. Let y be 0 + ((-32)\/j - -3). Let t = -39 + 38.9. Which is the smallest value? (a) t (b) y (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -71 + 91. Suppose -z + 4 = 3*a - 4, 65 = 4*z + a. Let d = z - -53. Calculate the highest common factor of b and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -487002+-0.14\nAnswer: -487002.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(1595\/(-1044)))\/(21\/(-15) + 1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295129715?\nAnswer: 5, 59025943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -103 - -3?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.279331s in hours?\nAnswer: 0.0106331475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -597170, -597174, -597180, -597188, -597198?\n\"Answer: -t**2 - t - 597168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59320 and 2280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeereeerer. Give prob of sequence eere.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54677 and 68255?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 168551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 194, 183, 172, 161, 150, 139?\n\"Answer: -11*g + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -4. Suppose 0 = -x*o - 21 - 36. Let q = o + 32. Does 10 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7\/12 + 5\/12. Suppose 3*t = -d - 0*d + 10, 4*t - 16 = -2*d. Let x = 268\/5 + -54. Which is the nearest to -7? (a) x (b) d (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m + 255 = 24*m. Does 11 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19158*h**3 - 30*h**2 - 1032921 with respect to h.\nAnswer: 57474*h**2 - 60*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/219240 and 167\/156600.\nAnswer: 1096200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - 3*sqrt(13))*3 + -5.\nAnswer: -6*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2*h + 104. Let t be 6\/15 + h\/(-20). What is the derivative of 1 - 3 + 4 - t*v + 3 wrt v?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*j + 33*j + 4750 + 920 = 0 for j.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -c**5\/60 + 10*c**3 + 105*c - 2. Let d(p) be the second derivative of l(p). Let w(t) = -109*t. Determine d(w(u)).\nAnswer: 218*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from iihhi.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -190995195 and 4?\nAnswer: -763980780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**3 + 15*w**2 - 44*w + 30. Give v(-10).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -6 - d + 36 - 28. Calculate p(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c57 - 524d?\nAnswer: -60a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**2 - x + 19. Let s(r) = -r**2 - r + 10. Let n(c) = 2*f(c) - 5*s(c). Let h be n(-5). Which is bigger: h or -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 77 = -4*a + 3*g, -24 = -a + 2*g. Let y = a - 8. Solve -s = 2*s - y for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/3 - -1)*1. Suppose -k*v + 5474 = 13074. What is v rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.07 + -0.14. Let w = 4.43 - h. Let t = 4 - w. Which is the smallest value? (a) 10 (b) t (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8450*d**4\/3 - 220220*d**3\/3 - 13528*d**2\/3 - 208*d\/3 = 0. Calculate d.\nAnswer: -26, -2\/65, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 393*j**3 + 6529*j**2 - 3*j - 394*j**3 - 6530*j**2 to g*j**3 + k + m*j**2 + u*j and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 401 = 95*m - 16*m, 2*s + 3*m = 11 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l*w**6 - l*w**3 - 12*l*w**2 + 17*l + 244*w**6 wrt w.\nAnswer: 120*l*w**3 - 6*l + 29280*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 487*m**2 + 242*m**2 - 1217*m**2 + 3*m - m**2 - 9*m + 0*m**2 + (0*m + 5*m - 3*m)*(3*m - m - m) to k*m + d + a*m**2 and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**3 + 0*u**3 + 0*u**3 - u**3.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -3. Suppose f = 1 - h. Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100000001011 + -110?\nAnswer: 1100000000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (114\/(-95))\/((-4)\/(-10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -n, c + n = 2*n + 6. Suppose 4*r + l - 165 = 150, 3 = -c*l. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i - 10. Let k be l(-4). Which is smaller: k or 68?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80109900 divided by -325?\nAnswer: -246492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.8, 11, 2\/11, 1\/6, 7\/254?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 + 12*r**2 - 2 + 2 - 40*r**2 - r.\nAnswer: -26*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 3)*30\/(-9). Let z = a + 10. Let g be 72000\/((-3)\/15 + z). What is g rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**4 - z**4 - 2*z**4 + 0*z**2 + 0*z**2 + 2*z**4 + (0*z**2 + 2*z**2 - z**2)*(3*z**2 + z**2 - 5*z**2) + 6*z**4 - 4*z**4 + 0*z**4)*(-2 + 2 + 2).\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -236, -905, -2010, -3539, -5480, -7821, -10550, -13655?\n\"Answer: 2*v**3 - 230*v**2 + 7*v - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + 8*f - 3*f)*(-2 + 2 - 1)*(-4 + 8 + 2).\nAnswer: -48*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*i**2 + 1\/2*i**4 + 1\/2*i**3 + 0 - 1\/2*i.\nAnswer: i*(i - 1)*(i + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 918*h**2 - 404*h**2 + 2364*h**2 as o*h + d + y*h**2 and give y.\nAnswer: 2878","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bajlfjjjqjj. What is prob of sequence jal?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 903479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1369512973 to the nearest integer?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**3\/11 + 9512*d**2\/11 + 13997640*d\/11 + 5947027200\/11 = 0. What is d?\nAnswer: -2010, -736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 38943596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1954160657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -4037370?\nAnswer: -4037370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 6:52 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*p + 32*p - 33*p)*((-p**4 + 0*p**4 + 0*p**4)*(-2 - 1 + 2) + p**4 - p**2 + p**2 + 0*p**4 + 5*p**4 - 3*p**4 + 166*p**2 + 4 - 166*p**2 - p**4).\nAnswer: -51*p**5 - 68*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -9) + 8 + 62 + -17 + 0.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -2*o - 227, 0 = 2*o + 62*h - 64*h + 224. Let j(s) = -38*s + 3. Let k be j(3). Let r = k - o. Solve -8*a + 4*a = r for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = -5*z - 3*w + 34, -2*z + 2 = 9*w - 22 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3152357647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21.43 or -0.07807?\nAnswer: 21.43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40.1 - 42. Let s = 2 + a. Let q = 1573 - 1569. What is the closest to -1 in -2\/3, q, s?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b + 1 - 4*b + 0*b - 2*b. Let d(w) = -7*w + 7. Let r(a) = -d(a) + 6*l(a). Give r(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 27*h**3 - 15*h. Suppose -5*d = -4*a - 36, -353*d - 20 = -354*d + 4*a. Let c(i) = -7*i**3 + 4*i. Let o = -54 - -69. What is d*z(y) + o*c(y)?\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76 and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(4\/7)*k)**(15\/7)\/(k**(2\/25)*k*k**(-11)) assuming k is positive.\nAnswer: k**(18902\/1225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 38 = -45*f + 41*f, 3*a + 17 = -7*f for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.0519 - 0.2825. Round x to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 0.2, -5 in descending order.\nAnswer: 5, 4, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 171\/(-9)*12*-1 - 1. Suppose -3*u + t + 137 = 0, -3*t - p = -4*u - u. What is the remainder when u is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbw when three letters picked without replacement from wbbbwlbl?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 2036666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(10\/3)\/h))**10 assuming h is positive.\nAnswer: h**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -34180*w**2. Let s(y) = -2*y**2. Give s(g(f)).\nAnswer: -2336544800*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 1 - w + 1 + 0. Suppose -2*o - 15 = o. Let j be c(o). What is the greatest common divisor of 21 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -12. Let r = -18 - -24. What is the remainder when r is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -5*i**3\/6 + 5*i**2\/2 - 3*i. Is u(-8) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 928*m**2 - 928*m**2 - 33*m**3.\nAnswer: -33*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 176 + -183. Let r(c) be the third derivative of c**4\/24 + 7*c**3\/3 + 19*c**2. Let k be r(h). Let o(x) = x**3 - 6*x**2 - 10*x + 4. Give o(k).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4768, 4759, 4750?\nAnswer: 4741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1391993540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 41, 93, 157, 239, 345, 481, 653?\n\"Answer: f**3 + 45*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 16. Let t(m) = m**3 + 8*m**2 + m + 9. Let x be t(w). Let k(n) = 6*n + 4. Let s(a) = -a - 1. Give x*k(l) + 4*s(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -240726, -481459, -722196, -962937, -1203682, -1444431?\nAnswer: -1685184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 9*l - 1067 = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2266.054 to the nearest ten.\nAnswer: 2270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1*z*z\/(z**(1\/65)*z))\/(z**(2\/15)\/z*z**(1\/26)) assuming z is positive.\nAnswer: z**(1097\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 4*m - 2*g - 27, 0 = m - 5*g - 35 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27441218?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/4 - (-1274)\/(-56). Let g(q) = -66*q + 23. Is g(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/53 - -97\/477. Let a = -0.59 - 5.71. Let u = a + 2.3. Put u, 4, c in ascending order.\nAnswer: u, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-109115.1.\nAnswer: 436460.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -5*d + 10 + 2*d + 2*d - 18. Calculate y(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -i - 3*o - 47, 3*o = 4*i - 79. Let m = 4 + 4. Let b = 14 - m. What is the remainder when i is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0254 and 3009.54?\nAnswer: 3009.5654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 5031?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -3*c**4 + 284226*c**3 - 6801131535*c**2 + 3264802285404*c - 3258001438092 = 0.\nAnswer: 1, 489, 47126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 692, 5327, 17906, 42401, 82784?\n\"Answer: 662*j**3 + j + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 6*f + 3. Suppose l = 5*d + 20, -2*l + 6*l = d + 4. Let i be (d\/(-3))\/((-4)\/(-24)). Suppose i*g - 20 = 13*g. Determine o(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 12:20 PM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((d\/d**(1\/7))\/d)\/d*d)\/d*d**(-6))\/(d*d**1*d**(-2)))\/(d*d**0*d*d*d*d*d**(1\/4))**(1\/7) assuming d is positive.\nAnswer: d**(-221\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 2*p + p)*(-2*p - 3*p**4 + 2*p) - 4*p**5 + p**5 + p**5 + (-3*p + 3*p - 2*p)*(3*p - 3*p - p**4) + 3*p**5 - 5*p**5 + p**5.\nAnswer: -4*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 2. Suppose -2*l = -q*d - 2, -5*l + 5*d - 3 = -4*l. Suppose -3*y + 4*k + 1 = 0, k + 0 - 1 = l*y. Which is smaller: y or -2\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*v + 6*v. Suppose v = 5*g + 5*d + 10, -g = 2*g + d. Solve 5*h - 24 = b - 0*b, -4*b + h = g for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w*w**5)*w*w*w)*w*w**(-2\/3))\/((w\/(w*w*w**(-4)*w)*w*w)\/w**(1\/4)))**3 assuming w is positive.\nAnswer: w**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24\/5*h - 74\/5*h**2 + 0 - 6*h**4 - 78\/5*h**3 - 2\/5*h**5.\nAnswer: -2*h*(h + 1)**3*(h + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/15 - 228*v**3\/5 - 1376*v**2\/15.\nAnswer: 2*v**2*(v - 344)*(v + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.22 - -0.12. Let l = -0.8 - -4.8. What is the smallest value in l, h, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -778*i - 817. Calculate f(-1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1134)\/(-243)*15\/(-20)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 202995?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + 1 - sqrt(243)) + -1 - (sqrt(30)\/(sqrt(90)\/(-1*sqrt(9))))**2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -374*a**2*i**2 + a**2*i - 2*a**2 + 303*i wrt i.\nAnswer: -748*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60178.9 or 0.1?\nAnswer: -60178.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7518 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 208 + -123. What are the prime factors of v?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 3*k - 12. Suppose x + k = 4*z - x, 0 = x + 2. Suppose -102 = -2*s + 3*c, 3*c + z*c = 6. What is the highest common divisor of 18 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1195 + -1105. Is 90 != f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4966 - 4970. What is the fourth biggest value in -0.5, i, -272, 2\/3?\nAnswer: -272","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (72\/392400)\/(2\/24). Let l = -1\/2296845342 + -6708744967873\/6258903556950. Let m = l - s. Calculate the common denominator of m and 10\/3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ofe when three letters picked without replacement from oeooflhheeleoe.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 344\/21, -0.5, -10682?\nAnswer: 344\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5104*t + 15302*t - 5119*t - 5108*t.\nAnswer: -29*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 - 6)*(3*m**3 - 2*m**3 + 2*m**3) - 3 - 10*m**3 + 9 + 0*m**3.\nAnswer: -40*m**3 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/10 + 1608\/5. Let s be 2\/(-8) + r\/8. Let l be (-6 - (-153)\/18)\/((-1)\/(-40)). Calculate the highest common divisor of s and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - 3. Let x = 0 - h. Suppose -3*m - x*g = -51 - 28, 0 = -m - 2*g + 27. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48273984 and 342?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3947, -15821, -35603, -63287, -98867, -142337, -193691?\n\"Answer: o**3 - 3960*o**2 - o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 3. Let z(n) = -3*n - 5*n**2 + 4*n**q - n**2. Let i(r) = -r**2 - r - 1. Determine i(d) - z(d).\nAnswer: d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3916.93 + -3916.8. What is the third biggest value in b, -8.1, 0.1?\nAnswer: -8.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1443*v**2 + 789 - 1577 + 788 to the form j*v**2 + f*v + l and give j.\nAnswer: -1443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -274.46 - -694.7. Round h to the nearest ten.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 times -0.0487?\nAnswer: 4.0908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 196 + p + p**2 - 3*p - 196. Give z(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3302\/11 + 300. Which is the biggest value? (a) -3 (b) 1\/8 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2740 divide 428489420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -119 divided by 4?\nAnswer: -119\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*p + 125*p + 123*p + 125*p - 756*p + 126*p + 128*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -35, -0.08?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*k - 79*k - 93*k - 5*c = 25, 15 = -6*k - 3*c for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 14*k**3 - 11*k**2 - 11*k. Suppose 0 = -31*d + 19 + 43. Let t(q) = -3*q**3 + 2*q**2 + 2*q. Give d*v(y) + 11*t(y).\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 0 - 4 - t + 0. Let q be s(-5). Is 4 a factor of (-1)\/(1\/((-8)\/q))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_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 k(t) = 14*t**2 + 20*t + 37. Let w(p) = 5*p**2 + 7*p + 12. Let g(o) = -6*k(o) + 17*w(o). Let h be g(5). Solve -h*c - 5 + 1 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l + 20*l + 16 = 0. Let d(a) = a**2 + 8*a + 3. Let c be d(l). Calculate the highest common divisor of 24 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1119963?\nAnswer: 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 31307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from eeeeeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -287, -282, -277, -272?\n\"Answer: 5*u - 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 21 = -3*g. Let z be g\/(-3)*(-1 - 0). Find the second derivative of -2 - 1 + p + p**4 + z wrt p.\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooou when four letters picked without replacement from {o: 3, u: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*((-2)\/(-4))\/((-2)\/(-38)). Let l = 6 + -3. Solve -3*z = -3*j - 8 - 13, -l*z = -2*j - t for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61129961?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**3 - j**3 - j**3)*(11*j + 4*j - 4*j).\nAnswer: -22*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 1427 - 395 = 0. Let c be 1\/(-6) + j\/(-36). Solve 0 = 5*a - 2 + c for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 1432?\nAnswer: 7160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 10*o**2 + o**3 + 8*o**2 - 6*o**2 - 3 + 31*o. Let p be y(-5). Which is smaller: p or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 10*c**2 - 10*c + 22. Let s be b(7). What is the highest common factor of s and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 430*i**2*v**2 + 322*v**2 + 1 wrt i?\nAnswer: 860*i*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (((-60)\/(-16))\/(-5))\/(453\/(-5436)) + 620\/(-28)\nAnswer: -92\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13 or -68637?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1476.665713 - -0.01?\nAnswer: -1476.655713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -5*l**4\/12 + 49*l**3\/2 - 78*l**2. Let g be t(15). Is -17\/9 <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-1 + sqrt(468) + -1)*-3)**2 - (0 + (sqrt(1573) + (-3*1*sqrt(1573) - sqrt(1573) - sqrt(1573)))*-3)**2.\nAnswer: -222296 - 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500 is divided by 227.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 673585 and 1628?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -62535 divided by 5\nAnswer: -12507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/25 + -3)\/(248\/(-155))\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -13204*i + 6483172. Give n(491).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125) + 1 + 0.\nAnswer: 1 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 970359?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4161 or 1910105\/459?\nAnswer: 1910105\/459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56362644 - -1.\nAnswer: -56362643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.23 (b) 2 (c) 7 (d) 0.4 (e) 4\/3 (f) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-6))\/((-24)\/54).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 4*m + 1 = -10*x, 2*x = -4*m - 2. Let k = -0.991 - 0.009. Let f = 0 - -0.2. Which is the nearest to x? (a) f (b) k (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-71)\/(-12) + (1*-3)\/(-36).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**3\/6 + 4*j. Determine m(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/50)\/(17255\/(-13090) - 6\/33)?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**2)*w*w*w**(-2\/11))**(-29) assuming w is positive.\nAnswer: w**(-1218\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 28. Calculate the greatest common factor of 40 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -3943 - 161. Find the common denominator of (-4492)\/d - (-4)\/38 and -65\/33.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3596641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54 - 45 - (3 + 17 - 0) - -10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 11. Let n = 1.3 + -0.8. What is the biggest value in n, y, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*c**3*o*x + 11*c**3*x**3 - c**3 + 65*c**2*o*x + 51*c*o*x**3 - 2*c*o*x wrt x.\nAnswer: 66*c**3*x + 306*c*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 61*a - 25*a - 7020. Suppose 0 = -5*i, 5*i - 5 = 3*k - 50. What is the highest common factor of k and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541883.\nAnswer: 103, 5261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*((m*m**(10\/3)*m)\/m*m)\/m*m)\/m)\/m**(3\/8)*((m*m*(m\/(m\/(m**(-12)*m))*m)\/m)\/m)\/(m*m**(1\/3)))**(1\/41) assuming m is positive.\nAnswer: m**(-51\/328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of y**8\/9240 - y**6\/990 + y**4\/132 - y**3\/3 - y**2. Let b(n) be the first derivative of s(n). Factor b(a).\nAnswer: 2*(a - 1)**2*(a + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 401 + 372 - 9701*j**4 + 9704*j**4 + 38*j**2 wrt j?\nAnswer: 12*j**3 + 76*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: 4431 (base 6) to base 7\nAnswer: 2665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**4 - n**4 - 6*n**4 + (0*n**2 - 3*n**2 + 2*n**2)*(-n - 2*n**2 + n) + 3*n**4 - 3*n**4 - 3*n**4.\nAnswer: -6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100010111 (base 2) to base 4.\nAnswer: -30113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 292 - 74. Let b = 223 - o. Solve 0 = b*i - 17 + 27 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -35*x + 2120. What is the remainder when 140 is divided by x?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -232?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.171087 months?\nAnswer: 0.00001425725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 8705631?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 16 = -26. Calculate the remainder when 9*3 + 0\/1 is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -2 - (8 - 10 - -7) - 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -0 + 6. Suppose 0 = -f*h + 2*h + 704. Suppose -9*g + 7*g = -h. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*v**2 + 36*v**2 - 3*v**2)*(0 - 1 + 0).\nAnswer: -21*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 16999)\/((-2)\/(-6)). Round j to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -6*o. Let d(k) be the first derivative of 31*k**3\/3 - 725. Give a(d(y)).\nAnswer: -186*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 25641?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 2\/17 (b) -3 (c) -4 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19673810?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-322)\/345 - ((-12)\/9 - 0). Suppose -3*a = -6 - 3. Factor 0 + 0*p + 0*p**2 - c*p**a.\nAnswer: -2*p**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2090159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 10 = 4*c - 3*k, 3*c + 5*k = -25. Let q(t) = -4*t**3 - 2*t**2 - t - 1. Let v be q(-2). Suppose 5*m - v = 20. Sort 4, m, 5, c in descending order.\nAnswer: m, 5, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*b - 2*v - 2*v, 0 = b + 2*v - 5. Let t = b + 7. 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: Expand (-4 - 1 + 3)*(0 - 2*z + 0) + 2*z + 11*z - 2*z.\nAnswer: 15*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 279c6a (base 15) to base 16\nAnswer: 1d167c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 249, 1031, 2339, 4173, 6533, 9419?\nAnswer: 12831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.285 - 55.\nAnswer: -56.285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3\/4, 0, -1, -14?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 + 83 + 28 = 17*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -47*y + 48*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1354105 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1734 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3184\/3 - -1062. Let c = -5\/21 + 4\/7. Factor 1\/3*d**2 + c - m*d.\nAnswer: (d - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**3\/4 + 29*u**2 + 477*u\/4 + 90 = 0.\nAnswer: -3, -1, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -32*m**3\/5 - 248*m**2\/5 - 276*m\/5 + 72 = 0.\nAnswer: -6, -5\/2, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2321 - -3.6321. What is the closest to -1\/4 in 1, w, -2, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4*f\/((f*f**(-36))\/f*f))**(-48) assuming f is positive.\nAnswer: f**(-1920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 3214 divide 58025556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57.32 + 56. Let o = 0.32 + w. Which is the second smallest value? (a) 0 (b) o (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -5. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/(-30))\/(3\/3)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 461, 281, -135, -907, -2155?\n\"Answer: -20*p**3 + 2*p**2 - 46*p + 525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.31 + 0.61. Which is the closest to -1? (a) -0.3 (b) -2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 145*g**3\/3 - 3*g + 23. Is f(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -32, -28, -24, -20, -16?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.8 - -5.1. Which is the second smallest value? (a) -7\/5 (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 4:21 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 6*t**2 - 7*t - 7. Let g be z(-5). Suppose g*v - 4 - 245 = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -2*x + 8. Suppose -m - 3*w + 95 = x*m, -5 = -w. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -69*j**2 - 132*j - 27. Let a(w) = -5*w**2 - 10*w - 2. Let q(o) = 27*a(o) - 2*z(o). Let i(s) = -s**3 - 7*s**2 + 12*s. Determine -3*i(r) - 7*q(r).\nAnswer: 3*r**3 + 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90)\/(-135)*(-6)\/8)\/(12 - (-10852)\/(-904))?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 2*i + 1, 9*v = -5*i + 8*v + 11. Solve i*y + n + 9 = 0, y - 5*n - 35 = 6*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/(-2145))\/((-2)\/(-24)*(-3 + 5)).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 273083286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*x + 9 - 24 + 15 to the form z + i*x and give i.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 + -17)\/((-6)\/5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-24)\/(-3)*5\/10. Let f = -8 + 6.1. Let g = 1.1 - f. Sort g, 25, p, -0.1.\nAnswer: -0.1, g, p, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 144424 - 2598679\/18. Let r = -901\/9 + i. Let v = r + 47. Which is the nearest to 0? (a) -0.2 (b) 3\/7 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 13*y - 18. Let o be j(-7). Let m be 3*4\/o*-2. What is the nearest to m in 3, -0.5, 1\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 347 + ((-1)\/3)\/(45\/810) + 4?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8\/25 of a kilometer?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 5, 2, 2\/19, -1.32.\nAnswer: -1.32, 2\/19, 0.4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - (2 + 5)) + -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 344 + -284. Let u be (2*(-6)\/l)\/(4\/(-40)). Factor 6\/7*g + 12\/7*g**u - 6\/7.\nAnswer: 6*(g + 1)*(2*g - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -2522 + 952. Let i be a\/(-6) - (-12)\/(-9). Let b = i + 5. Does 18 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4485, 4476, 4453, 4410, 4341?\nAnswer: 4240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6338, 6345, 6352, 6359, 6366?\nAnswer: 6373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 82*r**2 + 80*r - 88. What is x(-81)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 1:09 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.2 and -217016?\nAnswer: -260419.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46853.91 days to minutes.\nAnswer: 67469630.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -461909.926 take away -1?\nAnswer: -461908.926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.6586 and -53309.\nAnswer: -53309.6586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15163438 is divided by 2829?\nAnswer: 2827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -9*m + 24. Suppose 3*n - 1 = m*u - 3, -2*n + 4 = 0. Suppose 0 = -4*d - 8, u*i + d = 2*d + 220. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-126)\/(-28) + 20\/(-8). Solve 14 = 2*o + z*o - j, j + 2 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -15*t + 262. Give i(19).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + -6)\/(-1) - 1. List the prime factors of 606\/36 - n\/(-12).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/6*(-105)\/300?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 574.2633 litres?\nAnswer: 574263.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2\/7, 3, -3, -0.0082?\nAnswer: -0.0082","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 18 = 21. Let f = a + 49\/4. Let o = 0 + -0.5. What is the second smallest value in f, o, 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*p + 3288 = -256*p + 40*p for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k = -3*z - 9*k - 6, -5*z - 5*k = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -231*l**2 - 6*l. What is m(-1)?\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.248 + -2.248. Let u = 63 + -61. Suppose -x + u*y - 11 = 0, 5*x - 2*y + 25 = 2*y. Which is the biggest value? (a) d (b) 21 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l + 20. Let g be t(9). Let u = -6 + g. Suppose -u*j + 16 + 59 = 0. Calculate the greatest common divisor of 6 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of 2*f**2 + 0 + 0*f + 17\/60*f**5 - 1\/8*f**4 - 7\/2*f**3. Is n(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 6 = 4*q - 5, -2*q = -2. What is the common denominator of 97\/18 and (-7 - (-447)\/108) + x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.96 + 0.04. Let w = c - 3. What is the second biggest value in -0.3, w, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -162000 - 97200*o - 276*o**3 - 3788*o**2 - 6081*o**2 - 3*o**4 + 1229*o**2 = 0. What is o?\nAnswer: -30, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2. Suppose 2*s + 5*c - 106 = 0, -5*c + 72 = 5*s - 178. Let m(p) = s*p - 97*p - 28*p - 10*p + 3. Determine v(m(i)).\nAnswer: -7569*i**2 + 522*i - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/21 and (-2 - 84\/(-39)) + (-733)\/117.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) + -1*sqrt(325)*1)*4)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/2 - (-5)\/2. Suppose -2*g + p = -1. What is the second derivative of f - f + 5*f - 5*f**g wrt f?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/(41\/(82\/(-50)))?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 580*t - 3488 - 1732 = 0 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*(15\/(-6) + 3). Let p be 1 + (j + -1 - 0). Solve -3*a = -2*u + 11, p = -2*a - 2*u - 7 + 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13067 and 2409?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*g - 659 - 16 - 585 = 0. Solve -3 = -3*x + g for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - v + 0*v + (-3*v + 3*v + v)*(1 + 1 - 1) + 1 + 1 - 1 + v)*(-3 - 6 - 2).\nAnswer: -33*v - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.5, -1, -1\/3, -3, 1 in increasing order.\nAnswer: -3, -1, -1\/3, 1, 2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 59*k + 8571. Calculate p(-166).\nAnswer: -1223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w + 362*w**3 + 7 - 364*w**3 - w**2 + 2*w. List the prime factors of f(-5).\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 155643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 450*r - 1404. Calculate a(4).\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, 3, -19467?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -7055 smaller than -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13*g**2*w*x + 2*g**2*w + 2*g**2 + 2*g*x + 56*w*x + w - 2*x wrt g?\nAnswer: -26*g*w*x + 4*g*w + 4*g + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 131 - 137. Let u(s) = -s**2. Let a(n) = -35*n**2 - n + 2. Let l(q) = p*u(q) + a(q). What is the second derivative of l(r) wrt r?\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14069772 and 298.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 285*i + 1. Let f be d(2). Suppose 0 = -5*o + 124 + f. List the prime factors of o.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/33 and -7\/57.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*a - 90175 = 0, -11322 - 33764 = -h + 3*a. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - f = -x + 12, -2*f = 2*x - 24. Let i = 13 - x. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 0. Suppose t = -5*s - 20 + 100. Suppose p + s = -4*k, 2*p - 2*k = k + 23. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/2, -5, -2\/3, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 63 (b) -4 (c) 4 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 times -20.28\nAnswer: -18.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3739*l**2. Let m(f) = -6*f**2. What is m(u(r))?\nAnswer: -83880726*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (68\/(-51))\/(3\/(-72)). What is the greatest common factor of 1 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -68.9 - -69. What is the closest to 0 in -0.4, w, -2\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rinrpppirppixnxxrr. What is prob of picking 1 n and 3 i?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - 1 - (-25 + -5 + 7 + -3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5, 44266, -63?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10678b1 (base 13) in base 11?\nAnswer: 2915977","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 116*k**3 + 115451*k**2 + 483480557?\nAnswer: 348*k**2 + 230902*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -390 divided by -29.\nAnswer: 390\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5436 + 11674. Let z = m + -3621. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/4*(-68)\/(-595)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 5*u + 2*u + 158 = 0, 4*u = 2*b - 84. Let x = -22 + b. Calculate the greatest common factor of x and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 6*o**2 - 54 + 18 + 21.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 5*p + 5. Let t be u(-5). Let k(b) = -b + 3. Let z = 14 - 7. Let i be k(z). Sort i, t, 1 in ascending order.\nAnswer: i, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.964 + -0.164. Which is the biggest value? (a) p (b) 0.3 (c) 0.4 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -127 - -112. Is b less than or equal to -31\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c - 3 + 3 + (-3*c + 3*c - c)*(1 - 2 + 3) + c - 3*c + 3*c + (-5 + 3 + 1)*(1 - 2*c - 1))*(c**2 + 0*c**2 - 3*c**2)*(2 + 1 - 5).\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 31599 times 5\nAnswer: 157995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 97347841 or 97347844?\nAnswer: 97347844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (44 - 38)*2\/3. Solve -2*q = 3*x - 2, r*q - 8 = x - 5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 47 = -2*s + 74, 0 = 3*b - s + 17 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 2*n + 1. Let a be v(-3). Solve -4*s + a = -4*p, -4*s + s = -p - 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 + 32. Which is the smallest value? (a) -2 (b) m (c) 1 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27.55 + -26. Let t = l - 1.55079. What is t rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 12) in base 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -42*k - 127. Is p(-17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.04 - 0.1. Let z be 95\/(-19)*((-2)\/(-1))\/(-2). Suppose -6*v - 33 = z*v. Which is the nearest to 0? (a) 1\/11 (b) v (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 698251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13686 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 2*x. Suppose -4*v - 16 = -0*v. Calculate the smallest common multiple of q(v) and -2 - 5*(-2)\/2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(4\/7)\/a)\/a)\/a**(-6))**(2\/9) assuming a is positive.\nAnswer: a**(64\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 82068655 or 82068652?\nAnswer: 82068655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of 23\/6*w**4 + 0 + 0*w**5 + 0*w**2 + 0*w**3 + 3\/7*w**7 - 10*w + 0*w**6. What is the third derivative of y(q) wrt q?\nAnswer: 1080*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -7\/120*o**6 + 11\/60*o**5 - 8*o**2 + 0*o**3 + 0 + 0*o + 0*o**4. What is the third derivative of z(m) wrt m?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52)\/(-182)*(-81)\/54.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.126 - -0.04. Let y = z - 2.594. Round y to one dp.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111 - 100?\nAnswer: 100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -1\/5 (c) -0.5 (d) -0.096 (e) 1\/2 (f) -241\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -r**4\/4 - 6*r**3 - 15*r**2 + 55*r - 348. Suppose -3 = c - 93. Calculate the remainder when c is divided by a(-16).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 greater than 10217\/2905?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 974101 less than or equal to 974119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (44\/(-33))\/((-1)\/3). Solve -5 = -p, 2*p - 5 = -w*v + 3*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(117)*-2*-4 + sqrt(117)))\/(1*sqrt(1296)*-4) + 0.\nAnswer: 9*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/5 of a minute?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of 0*l**4 + 1\/15*l**5 + 2*l**2 + 0*l + 0 + 0*l**3. Is i(-1) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12\/(-30) - (-210)\/25 and 73?\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -892 - -897. Solve j = -3*u - 2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 12:58 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 985849 is divided by 121.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1376 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 2)*(3 + -2). Suppose 3*w + 5 = 2. Let c = 3 + w. What is the biggest value in c, h, 0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2716 + 4*h**2 - 67*h - 262*h - 87*h.\nAnswer: 4*(h - 97)*(h - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2. Let h(m) = -3185*m**2 - 20. Let b(k) = 472972*k**2 + 2968. Let u(g) = -5*b(g) - 742*h(g). Calculate c(u(j)).\nAnswer: 2528100*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 303.7238mm in kilometers?\nAnswer: 0.0003037238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(1584) + sqrt(3520)\/sqrt(5) + sqrt(11).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 155.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 270656975 to the power of 1\/3, to the nearest integer?\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 151 = 3*v - 520, 2*d + 484 = 4*v. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3185)\/(-1022))\/13*1300\/(-7). Let m = 3\/146 + h. Find the common denominator of -6\/5 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -102\/5 in -30\/13, 7, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12650000 rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 15\/3*12\/(-10)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.064 - -5.064. Let v = 3 - 2. Put -3, v, c in decreasing order.\nAnswer: c, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j**2 - j. Let b(p) = 10*p**2 + 9*p + 1. What is -b(l) - 2*c(l)?\nAnswer: -4*l**2 - 7*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 7328.0067.\nAnswer: -2198.40201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m + 15. Suppose 2 = -2*z + 3*z. Let t be (0\/(-1))\/(z + -4). Is o(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.366 rounded to 1 decimal place?\nAnswer: -60.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 177510458969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 2*z + 3. Let u(y) = -y**3 + y**2 - y - 3. Let a be u(0). Let r(g) = -g. Let d be r(a). What are the prime factors of v(d)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - 4750?\nAnswer: -4757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 - 2.7. Let v = -0.565 + -1.035. Let u = w - v. Which is greater: -0.1 or u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - -69) + -8 + 28 + -18?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 61401 (base 7) to base 11\nAnswer: 10258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20\/33 or -100?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -2*o + 3, -m - 1 = 4*o for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of 0 - 199\/6*t**3 - 15*t - 8*t**2. Is y(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36.1*-4.1274.\nAnswer: -148.99914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1718? (a) -4 (b) 0 (c) -2 (d) -0.5 (e) -1\/30 (f) -2\/103\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f + 4. Let l be j(12). What is the greatest common divisor of l and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 63*a**3*b**2 + 2*a**3 + 219*a**2 - a*b**2 + b**2 with respect to b.\nAnswer: 126*a**3*b - 2*a*b + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -14. Calculate the remainder when 54 is divided by (76\/f*-1)\/(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 5*p + 32 + 30, 3*p = -a - 36. Calculate the remainder when (-139)\/(-2) + p\/(-130)*-5 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r. Let c be q(-6). Let x be (4\/c)\/((-6)\/81). What is the third derivative of 5*t**4 + x - 7 + 10*t**2 - 2 wrt t?\nAnswer: 120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 46838531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/138842 and -37\/33902692.\nAnswer: 372929612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -207, 0 in ascending order.\nAnswer: -207, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 36 - 99 - 33*t - 150*t**2 + 689*t**2. Is p(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -366 (b) 11 (c) -0.6 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ukvn when four letters picked without replacement from {n: 3, v: 2, k: 1, s: 8, x: 3, u: 1}.\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 99348.91um in kilometers?\nAnswer: 0.00009934891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*g = 4*o + 4, 3*o - 4*g + 16 = 0. Let c be (-5)\/(-15)*(o + 0). Suppose -l = -c*l - 12. What is the greatest common divisor of 12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 363909.\nAnswer: 3, 7, 13, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2506320 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j - 15. Let p be n(7). Let z(c) = -6*c**2. Let s be z(p). Let t be 2\/s + 28\/(-60). Which is greater: -2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1244 is divided by 89?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z + 1. Let i(v) = 2 - 3 + 3*v - 1 + 6 + v**3. Let k(p) = i(p) - 4*w(p). Suppose k(s) = 0. What is s?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 494300 is divided by 8100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 0 - 44 = -x, 12 = 3*h. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 42.3695 millimeters?\nAnswer: 4.23695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/(d*d**(1\/5))*d*d*d)\/d*d)\/d)\/(d\/(((d\/(d\/d**(-2\/3)))\/d*d)\/d))*(d**(-1\/3))**(-1\/5) assuming d is positive.\nAnswer: d**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -514785, -1029183, -1543591, -2058015, -2572461, -3086935, -3601443, -4115991?\n\"Answer: -y**3 + y**2 - 514394*y - 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, j: 5, s: 2}. Give prob of picking 2 s.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-4\/9))\/f)\/((f\/f**2*f)\/f)*(f*f**(1\/5)*f)\/(f\/f**6*f))\/((f*f**6)\/(f\/f**(7\/2))*f**(-5)\/(f\/f**(1\/2))) assuming f is positive.\nAnswer: f**(124\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 91959 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x - 3*x**2 + 6 + x - 6 to the form r*x**2 + w*x + g and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 210 and 4467?\nAnswer: 312690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32230301013 (base 4) to base 12.\nAnswer: 1359b73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -2d85?\nAnswer: -2d81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -7 + 1. Let z be 7 + 217\/(-28) + v\/4. Suppose 5*b + 0*b + j = 427, b + j - 87 = z. List the prime factors of b.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*z = -3, -3*f + 6 = -6*z + 3*z. What is the nearest to 0.02 in f, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qp when two letters picked without replacement from {p: 1, x: 2, t: 1, q: 2, f: 1, y: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 c when four letters picked without replacement from {r: 5, c: 4, e: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 7*r**2 + 4*r + 10. Let t(n) = n**2 + 10*n - 32. Let k be -4 + (-1)\/(1\/9). Let g be t(k). List the prime factors of l(g).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - 2*x - 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10552 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4)*l)\/(l*l*l**12*l)*(l**5)**(-2) assuming l is positive.\nAnswer: l**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17175.\nAnswer: 3, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 66585*k + 12159. Let z(q) = 197*q + 36. Let h(p) = 4*b(p) - 1351*z(p). Let o(j) = -2*j. Give h(o(r)).\nAnswer: -386*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 5 + 95 + 28*l**3 + 23*l**3 - 69*l**3 + 16*l**3.\nAnswer: -2*l**3 + 119","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**17)**(-47)*(b*b**(-3\/11)\/b)\/(b**(1\/3)*b*b*b) assuming b is positive.\nAnswer: b**(-28037\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -805*a*f**4 + 1189*a*f**2 - 2*f**4 wrt f?\nAnswer: -19320*a*f - 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -795*i - 3902 = 4048 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*x**2 + 904 - 2*x - 51*x**4 - 904 wrt x?\nAnswer: -1224*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - 4*n - i - 3, 2*i = 4*n + 26 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1028204 - 742?\nAnswer: -1030046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1485 is divided by 26?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 7797*v - 397667. Give n(51).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 11. Let k be (2\/4)\/(c\/(-64)). Let q be ((-48)\/(-20))\/(k\/(-20)). Let u(d) = d**3 - 5*d**2 - 7*d + 7. Calculate u(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5125*r - 10 + 5143*r + 10.\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-90))\/((-4)\/(-24)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -276888 divided by -18\nAnswer: 46148\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h - 7. Let t(d) = d**3 - 5*d**2 - 4*d + 7. Let b be t(6). Let p = b + -13. What are the prime factors of z(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-1\/4))**(-2\/69)*(b**(-2\/3))**(-19\/4) assuming b is positive.\nAnswer: b**(72\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 32630000 rounded to the nearest 1000000?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50*g**3 - 74 + 74)*(-2 - 1 - 1 + 2*g).\nAnswer: -100*g**4 + 200*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 114832, 114831, 114830, 114829, 114828, 114827?\n\"Answer: -f + 114833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 311002 + -22002?\nAnswer: 223000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 463445085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.579999653 + 1.58. Round f to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 21492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of d**4\/4 + 4*d**3\/3 - 4. Let m be q(-3). Let f = m + 11. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(260)\/(sqrt(10)*-2 - sqrt(10) - sqrt(10)))\/(sqrt(200)*-4).\nAnswer: sqrt(13)\/160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113824.\nAnswer: 2, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57670117 to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -64 + 64. Suppose 0*n + 4*n - 2*n = h. Suppose t - 477 = -4*o - n*t, 2*t + 126 = o. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/((-3 - -1) + 4). Let h(j) = j**3 + j**2 - 2*j**2 + 0*j**3 - 3 - 3*j. What is the remainder when h(v) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -6*r**3 + r**2 - 4*r. Let w be -6 + ((-42)\/(-20) - (-10)\/(-100)). Let c(k) = -11*k**3 + 3*k**2 - 7*k. Calculate w*c(x) + 7*l(x).\nAnswer: 2*x**3 - 5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 9*o**2 - 9*o + 9. Determine w(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1581638000 rounded to the nearest one million?\nAnswer: 1582000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 110.31176*0.2\nAnswer: 22.062352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96153 is divided by 326?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(63\/(-9)))\/(-8*(-3)\/6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -34.7, -3\/4, -0.32, -2\/5, -1 in descending order.\nAnswer: -0.32, -2\/5, -3\/4, -1, -34.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 28*o**2 + 29*o + 5. Let t be k(-29). Let s be t\/(-10) + (-187998)\/4. Round s to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9624*f = 9712*f - 1584 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*h + 3 = -32*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 217 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2362\/7 - 9455\/28. What is the closest to 3 in -19, -1\/6, f, -4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*m - 9 = -9 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2941? (a) 1 (b) -0.5 (c) 1352\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -e1d2?\nAnswer: -e1d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5232, -10437, -15642, -20847, -26052, -31257?\nAnswer: -36462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 32*i**2 - 35*i - 60. Let k be c(-33). Let y(o) = 17*o**2 - 10*o - 12. Is y(k) a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6188981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10422959?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/4 + (-36630)\/2220.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 + 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1931013101?\nAnswer: 1009, 1913789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j**2. Let u(i) = 4*i**2 - 861. Give u(p(n)).\nAnswer: 64*n**4 - 861","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -0.3, 1175242\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = -25 - 47. Let j be l\/(-68)*987 + (-6)\/51. Suppose 0 = q + 4*f - 16, -3*q = -6*f + f - j. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-1449))\/(6\/21*1)*4.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276*t + 278*t = -8, r + 5*t + 19 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*-1*3\/6. Sort 3, 1, k in increasing order.\nAnswer: k, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 164 - 682. Let m = s + 518. Solve m = -b + 25 - 24 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 3*r = -19, 3*u - 30*r = -25*r + 13 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 10:17 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 5*h**2 - 3*h + 6. Let g be ((-6)\/(-4))\/((-3)\/(-8)). Let o be y(g). Does 13 divide 1\/(o\/8*(-20)\/(-550))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25\/13 + 535\/26. Find the common denominator of r and (-130)\/8 - 3\/(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**3 - 96*k**2 - 95*k + 328. Let f be p(49). Calculate the greatest common divisor of 19 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1131331220 (base 4) to base 16\nAnswer: 5df68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 110*o + 1124, 3*o + v - 108 = -144 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/40)\/((-5)\/45).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 49587\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-278)\/(-12) - 2\/12. Let p(v) = v**3 + 9*v**2 + 5*v - 10. Calculate the remainder when d - (-1 + 2 - 3) is divided by p(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 1 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 11. Suppose -f*p = -8 - 2. Suppose 4*y - 26 - 10 = 0. Solve p*i + i = -y for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -19. Let o = 11 + x. Let m(q) = -8*q**2 - 5*q - 2. Let j(c) = 12*c**2 + 8*c + 3. Let d(n) = 5*j(n) + 8*m(n). What is d(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -923 - -12?\nAnswer: -911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -462*u**3 + 171*u**3 + 294*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b. Let n(d) = 1. Let i(l) = 3*l**3 - 20*l - 19. Let y be i(-1). Let k be 3 + -6 + 3 - -2. Determine k*n(j) + y*v(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2448)\/135 - (-4 + (-290)\/(-75)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of r**8\/28 - r**4\/2 + r + 1. Let y(q) be the first derivative of v(q). What is the third derivative of y(l) wrt l?\nAnswer: 240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 985382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16 + -10)*(4 + 0). Let z = -21 + g. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/5*-2*35. Let w = z + -24. Solve 7*m + 12 = w*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*q - 9 = 0. Suppose -f + 4*v = 20, q*f + 5*v - 15 = 2*v. What is the tens digit of (-66)\/(-2) + f\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 188759 - 188755. Find f, given that -1\/5*f**o + 4\/5*f**3 + 27\/5 + 6\/5*f**2 - 36\/5*f = 0.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -345 + -2465?\nAnswer: -2821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u**4 - 5*u**3 + u + 5. Let j(k) = 0*k - 3 + 0*k**4 + 2*k**4 + 3*k**3 - k. Let r(s) = 5*j(s) + 3*x(s). Find the second derivative of r(q) wrt q.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/6)\/(4\/64*8). Let l = -0.8 + -4.2. Let m = 357 + -353. Which is the closest to 0.1? (a) r (b) l (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 254982 and 0.029.\nAnswer: 7394.478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/9 (b) -5 (c) -0.071 (d) 466\/7 (e) 3 (f) -7\/4 (g) 0.4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -68163 and 603?\nAnswer: -41102289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 28766832 and -161.55?\nAnswer: 28766993.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.402 * 0.9972.\nAnswer: 0.4008744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7513 - 7509. Which is the closest to -1\/4? (a) s (b) 0 (c) 2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = -o + 6*o. What is the remainder when o is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = y + 19, -2 = -2*y - 2*t - 0*t. Let n = -4 + y. Solve o - 2*o + n = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + k - 1. Let h(c) = -6 + 22*c**2 - 16*c**2 + 3*c - 9*c**2. Give -h(t) + 4*z(t).\nAnswer: -t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 + (-6)\/(84\/77))*-1278?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 4*u**2 + 6*u - 2. Let s be x(-5). Let a(b) = -6*b**2 + b**2 + 3 + 4 + 6*b**2 + 6*b. Is 14 a factor of a(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (-2)\/40*-5. Let x = 3.1 + -3. Which is the smallest value? (a) k (b) x (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 13*k + 30. Let s(t) = 3*t + 6. Calculate -11*s(z) + 2*x(z).\nAnswer: -7*z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 44015 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 495040550?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6))\/((-82)\/(-7503))*6\/(66\/11).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k + 35 - 85 + 50. Let q(s) = 4 - 30*s - 3 - 1. Calculate f(q(i)).\nAnswer: 60*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*h + 99 + 3*h - 35*h**4 + 81*h**4 - 36*h**4 wrt h?\nAnswer: 40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (45408\/12298)\/((-4)\/(-26)). What is the greatest common factor of 6824 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*o + 7*k - 45*k, 0 = 2*o - 3*k - 83. Solve 31*w + 3*p - o = 36*w, 4*w + 17 = -p for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 9 = 3*r. Let h be 2 + 3 + r + 2. Solve 0*o + h*o = 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 388*a**2 - 93*a - 486. Let d be w(-6). Calculate the greatest common factor of d and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -36*l**3 + 18*l + 9. Let t(g) = g**3 + g - 1. Let b(r) = -p(r) + 18*t(r). What is the first derivative of b(w) wrt w?\nAnswer: 162*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -13, -65, -163, -319, -545, -853?\nAnswer: -1255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21 + 177?\nAnswer: 176.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 149861\/103512 - 361\/227. Calculate the common denominator of -10\/627 and y.\nAnswer: 5016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -160*u**2 + 18*u. Let z(j) = j**2 + j. Let g(f) = 3*f**2 + f. Let m(v) = g(v) - z(v). What is b(m(s))?\nAnswer: -640*s**4 + 36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8216620 a multiple of 1244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35220 + -12.\nAnswer: 35208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 260667 + -4?\nAnswer: 260663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 219*z**2 + 10335*z - 1044. Determine t(-69).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 6*m - 3. Let s(o) = 2*o - 1. Let i(z) = -6*s(z) + 2*v(z). Let q(r) = 0 - 8*r**2 + 1 + 0 - 2. Determine q(i(u)).\nAnswer: -32*u**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -m - 90973, 3*m + 363883 = -m + u. What is m rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f - 20. Let l be y(8). Let p be 0\/(-4*2\/l). Solve -t = -p - 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (121\/42 + -3)\/((-222)\/(-24) + -24 + 16)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49.08 or 5\/7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1719 is divided by 93?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5*r + 6. Calculate h(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 4*i + 20, 3*w + 0*w - 5*i = 14. Suppose -j - 4*t = 8, 2*j - 9 = -5*t - 28. Let y be 0\/(-3) - j\/(-4). Sort 3, y, w in ascending order.\nAnswer: y, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1280 minus 26.207734?\nAnswer: 1253.792266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 22. Suppose a*r + 5 = 23*r. Let g(m) = -m. Let b(z) = -4*z. Let s(v) = r*b(v) - 3*g(v). Let l(t) = -10*t. Determine l(s(n)).\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125 - 40*f + 9*f - 125.\nAnswer: -31*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 9883*b - 68 = 9887*b, -12 = -4*b for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 2 - 118*p + 12 - 68*p.\nAnswer: -186*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 28*a**2 + 3*a + 4. Is l(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 5*k + 1. Let r be x(5). Let z(b) = b - 6. Let f be z(6). Suppose 7*o - 5 = 2*o - 5*v, f = 2*o + 3*v - r. Solve 5*q - o*q - 15 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1284497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**3 - 8*o**2 + 45*o + 45. Calculate v(-8).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + (-22)\/(-4))*(-23 + -11 + 12).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/3 (b) -8204\/11 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m + 3. Let t(h) = h + 2. Let o(w) = 3*i(w) - 5*t(w). Suppose -13 = 3*x - 1. Let r = -1925 - -1926. Let k(z) = 3*z - 2. Give r*k(y) + x*o(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8235 and 4215195.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65cab6 (base 16) to base 4.\nAnswer: -121130222312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11)\/6 - 1 - -1. Let f be 3\/(20 + 1) + 1495\/(-714). Let y = b - f. Are -1 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 + 2*q - 2*q)*(3*q + 0*q - q) + (3 + q**3 - 3)*(3 - 3 + 1) + 0*q**3 - 4*q**3 + 0*q**3.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 46 - 112. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(5\/6)\/z*z)**(-49))**(-8\/5) assuming z is positive.\nAnswer: z**(196\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2368 + 2364 + 535*p - 198*p - 7097 + 2366 in the form w + i*p and give i.\nAnswer: 337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 3094 = -3*g + 3133, g - 5*h = -25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45898727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-6)\/8*-1*12\/(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.01, 4, 1.\nAnswer: -3, -0.01, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 266230 and 553.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 82 - ((45 - 89) + 23).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4\/7 + 970*b**3\/7 - 7888*b**2\/7.\nAnswer: 2*b**2*(b - 8)*(b + 493)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (306\/(-8))\/(-17) - (-1)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267 = 15*f + 72. Calculate the highest common factor of 208 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*q - 38*q**2 - 2*q**2 + 6*q + 11*q + 29*q + 22*q**2.\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 - 130 = -36*d + 6 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = l - 2. Put l, -2\/23, 0.2 in decreasing order.\nAnswer: l, 0.2, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*z = 467, f - 4*z - 479 = -2*f. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 275732 = -7*q + 65*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tkktttttttkttt. Give prob of sequence tt.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6 + (-3 - 0) + (-67)\/(-4) and 69\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and 94832014?\nAnswer: 94832011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by 37.\nAnswer: 23\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 11440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i + 12 = 10*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 5, -22, -3 in descending order.\nAnswer: 5, 2, 0, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -85742 + 86533.93. Let d = 788 - s. Let b = 0.07 - d. What is the second smallest value in 2\/5, b, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*o*u**4 - o + 2*u**4 - 17*u + 1 wrt u?\nAnswer: 396*o*u**2 + 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6720, 7995, 9280, 10581, 11904, 13255, 14640, 16065?\nAnswer: 17536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7004.\nAnswer: 2, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*i + 255 = -146*i + 602 + 283 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1611 divide 397286741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 6:04 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1343927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3 - 76*r**2 + 5152*r + 116032.\nAnswer: -4*(r - 37)*(r + 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -144?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 2\/9, -23, -4, 0, 33.2 in descending order.\nAnswer: 33.2, 2\/9, 0, -4, -8, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*4*(sqrt(117) - (sqrt(117) + 0) - sqrt(117)) - (2 + 2 + -1*sqrt(117)))**2.\nAnswer: 552*sqrt(13) + 61909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 168.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1514 + -8645?\nAnswer: -a059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20*(-12)\/195)\/(-8).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14\/10*1476\/(-2583)*-40\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(243)*-3 + -1)*-6 + 3)*-4)**2.\nAnswer: 233280*sqrt(3) + 6305040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y. Let a(t) be the third derivative of t**4\/4 - t**3\/6 + 1588*t**2. Give -a(z) - 5*o(z).\nAnswer: -11*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1424195 is divided by 56963.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4322?\nAnswer: 2, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4)\/(418\/152).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3359178302.\nAnswer: 2, 19, 1303, 67843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -156.7 or -140?\nAnswer: -140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o - 5*o + 13*o + 1 - 2*o**2. What is n(5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 5*m**2 - 7*m + 7. Let t be v(3). Let p(y) = 2*y**2 - 5*y - 3. Let o be p(t). Solve 2*j = -3 + o for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d + 4. Let m(r) = -2*r - 3. Give -4*g(y) - 5*m(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -34*o + 903. Calculate i(32).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 4:42 AM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(5)*1*1 + -6*(sqrt(5) + 1*sqrt(5)) - ((sqrt(245) + -1)*-4 - 5*(sqrt(245) + sqrt(245) + 0))) + -3)**2.\nAnswer: -1740*sqrt(5) + 37945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-96)\/(-112))\/(36\/(-112)).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2*g**2 - 683*g**3 + 2 - 5.\nAnswer: -683*g**3 + 2*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - y + 3 + 0)*(-26 + 0 - 33*y + 26) as d*y**2 + u*y + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 132*h**2 + 9 - 265*h**2 + 150*h**3 + 134*h**2 to the form z*h + w + p*h**3 + x*h**2 and give p.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1264129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34002*s**3 - 34024*s**3 + 68082*s**3.\nAnswer: 56*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s**2. Let n(g) = -58382*g**2 + 2*g + 2. What is n(w(y))?\nAnswer: -525438*y**4 + 6*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 133686, 1069162, 3608308, 8552958, 16704946?\nAnswer: 28866106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000 (base 2) to base 14.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 0*u + 3*u**2 + 4*u**2 + 9*u + 3 - 5*u**2. Let s be o(-4). List the prime factors of (1*-25)\/(s\/(-3 - -8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 - 34. Solve 5*z + 14 = 2*m, -2*m + 3*z + h = m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4 = 0, -4*c + 23 = -5*d - 7. Suppose 4*l - 64 = -8. Suppose -j - c = -o + 2*j, 3*j = 5*o - l. Calculate the remainder when 3 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*g - 2464 - 28286 = 0. What are the prime factors of g?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-3*(sqrt(153)*-2 + sqrt(153) - sqrt(153) - sqrt(153)))\/(-1*sqrt(9)*4))**2.\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.5 - -1. Let a = o - -0.5. Let p = a + 0.9942. What is p rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l + o + 14 - 9, -5*l + 4*o + 11 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -328 - -465. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - k + 1. Let q(v) = -3*v**2 + 8*v - 8. Suppose -3*y - 446 - 1053 = -4*s, s - 376 = y. Let d = 377 - s. Determine d*c(p) + q(p).\nAnswer: 3*p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -8*r**2 - r - 63. Let x(w) = -4*w**2 - 31. Let a(g) = -4*q(g) + 9*x(g). Let z be a(-8). Is 7 a factor of (-3 + 2)\/(5\/z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 185 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/(-276)*-4*(-1 - (-2)\/(-6)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -12*p - 4*p. Let r(z) be the third derivative of 0*z**5 - 1\/35*z**7 + 0*z**4 + 1\/6*z**3 + 0*z + 0*z**6 + 5*z**p + 0. Differentiate r(o) wrt o.\nAnswer: -24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 823 - 41 = 0. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -345.\nAnswer: -345, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 98 - 54. Let u be -4 + 5\/1 + (-1 - -4). Let f be ((-22)\/u)\/((-6)\/(-60)*-5). What is the highest common divisor of f and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22767 (base 9) to base 14\nAnswer: 5784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of p**6\/1800 + p**5\/300 - 4*p**3\/3 - 1. Let n(o) be the third derivative of t(o). Factor n(z).\nAnswer: z*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 5*k - 20 = 0, 5*g - 15*k = -11*k - 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 55.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 11*x + 12. Let d be c(-9). Does -0.1 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(20*3\/15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 11\/2 of a minute?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (201 - (-317530)\/(-1582))*((4 + 0)*-3 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2 + 2 - 2*a**2. Let x(t) = -15*t**2 + 148*t - 72*t - 76*t. Calculate l(x(h)).\nAnswer: -450*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4452331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 519623 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 40\/2*(-119)\/476\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**5\/3 + 180*q**4 + 3178*q**3\/3 + 872*q**2 - 2112*q = 0.\nAnswer: -264, -4, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 766 (b) -0.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7580300 rounded to the nearest 10000?\nAnswer: 7580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*u - 2191 + 2091. Solve -q + 15 = 3*z, 5*z - u*z + 3*q + 11 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4500571?\nAnswer: 23, 195677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -7*j**3 + j**2 - j - 2. Let f be (88\/12 - (-2)\/(-6))\/1. Let h = f - 9. Is q(h) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 11:13 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 56 = -10*k. Let l be (-35)\/252 - k\/48*3. Let t = 122 - 485\/4. Which is the nearest to 5\/3? (a) t (b) l (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - r + 70. Let w = 150 + r. Suppose z - w = -x, 0 = 4*z - 4*x - 597 + 121. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 521623310?\nAnswer: 2, 5, 13, 4012487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a kilogram in grams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1155 and 774639.\nAnswer: -894708045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3022 + 32233?\nAnswer: 23211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 68 + -40. Is 28 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20350413 + -1?\nAnswer: 20350412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/4*(13 + -17). Let f = b - -29. What is the greatest common divisor of f and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 k when two letters picked without replacement from {k: 2, g: 10}.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from daazzd. Give prob of picking 1 d and 1 z.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqgqkuqutuigtqq. Give prob of picking 2 g.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2*y - 60. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 5*z - 324, 3*o - 2*z + 6*z - 472 = 0. Suppose -5*k + 3*k + o = 0. Does 20 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -357972040 take away -0.3?\nAnswer: -357972039.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9959222 divided by 9959222\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 4*c**3 - 49*c**2 + 141*c - 48. What is s(8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1124591041 to the power of 1\/3, to the nearest integer?\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4417*x + 506*x - 334*x = 2850*x - 794640 for x.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 14) to base 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ba when two letters picked without replacement from {t: 5, k: 2, a: 4, b: 8}?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2*n - 2)*(3*n + 3 - 3)*(1 - 1 - 5*n) to the form h*n + v + c*n**2 + u*n**3 and give u.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1313285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and 10213727.\nAnswer: 10213724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z. Let h(l) = 366*l**2 + 4*l - 4. Give h(m(t)).\nAnswer: 366*t**2 + 4*t - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (1020\/18)\/10\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17030\/(-18340)*28\/(-1872)?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzzzzzzyzyzyy. What is prob of picking 1 y and 2 z?\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pzm when three letters picked without replacement from hpmzzzhcpcmsmmhmhhmh?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 5 + sqrt(288) + (1 + sqrt(288) - sqrt(288)) + sqrt(288))**2.\nAnswer: 384*sqrt(2) + 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -12b70 (base 12) to base 8\nAnswer: -62404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*a + 15*a = -104*a + 17034. Let y = -20 - -88. What is the greatest common factor of y and a?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -21*u**2 + 42. Let a(l) = 1. Let g(y) = 42*a(y) - w(y). Let t(j) be the second derivative of -j**4\/4 - 866*j. What is t(g(s))?\nAnswer: -1323*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 322\/2990 - (-1)\/5?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 324*a**2 + 5*a + 5. Let r(q) = -1620*q**2 - 24*q - 24. Give 24*o(k) + 5*r(k).\nAnswer: -324*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -170, 3, 2\/13 in descending order.\nAnswer: 3, 2\/13, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (77\/11)\/(158\/(-632)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 1\/3, -1, -0.4, -3\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of n**3\/3 - 2. Let w be 280\/45 + (-2)\/9. Let y(z) = 5 - w*z - 5. Give y(x(j)).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 6*s**2 + 15*s - 8. Let h(d) = -5*d**2 - 14*d + 8. Let y(k) = 5*h(k) + 4*z(k). Suppose 3*n + 0*n + 24 = 0. What is the tens digit of y(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kw when two letters picked without replacement from wjjwkjkwwjwjjkw?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1e + 1?\nAnswer: -1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of 65*m**3\/3 - 11*m**2 + 22*m + 145. What is the remainder when v(1) is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -2142893?\nAnswer: 2142889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31.2 + 31.1999843. What is b rounded to six dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -336 - -337. What is the closest to b in -1\/10, 0.06, -1?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 1228.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9224, 9152, 9076, 8996, 8912?\nAnswer: 8824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -20 from -868.\nAnswer: -848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8664*d - 5924*d - 5507*d + 5467*d - 1083*d.\nAnswer: -15711*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.997075 - -12. Round s to 4 decimal places.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/(-40))\/1)\/(((-899)\/(-1218))\/31).\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + -3 + 24\/4. Suppose -f*h + 6*h = 1581. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*t**2 - 5*t**3 + 6*t**2 - t**2)*(0*t + 3*t - 2*t).\nAnswer: -5*t**4 - 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -189, -21, 221, 573, 1071, 1751, 2649, 3801?\n\"Answer: 6*x**3 + x**2 + 123*x - 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -178 - -251. Let i = -72.5 + y. Which is the second biggest value? (a) -2\/3 (b) i (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2523211029?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31426713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**3 - 137*l**2 - 99*l - 4187. Calculate c(47).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15a2489 (base 13) to base 16.\nAnswer: 6a6a73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1127)\/(-1) + 8 + 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/80)\/((-28)\/70)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -912*p + 24476. What is i(27)?\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.06 and 31.9.\nAnswer: 31.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (sqrt(1331)*-3 - sqrt(1331)) - (3 + sqrt(11) + -1))**2 - (sqrt(88)\/(sqrt(8) + (sqrt(800) - sqrt(800)*2)))**2.\nAnswer: 176*sqrt(11) + 1725289\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5228 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 123, 187, 251, 315, 379?\nAnswer: 443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c7f5c (base 16) in base 13?\nAnswer: -5050c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*a = 360. Calculate the smallest common multiple of a and ((-224)\/(-24) + -9)\/(2\/(3 - -93)).\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 238190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -346*x + 61. Calculate a(1).\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a + 3. Let p be v(-3). Let w be ((-4)\/p)\/(1\/(-6)). Suppose -w*c - 3*c + 175 = 0. What is the remainder when c is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104311555?\nAnswer: 5, 23, 151, 6007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f, 8867*a = 8869*a + 4*f for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6573 = -164*t + 477*t for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 6:17 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.4 (b) -22 (c) 2\/9 (d) -38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1721662 to the nearest integer?\nAnswer: 1312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + sqrt(272) + (-3*sqrt(272))**2*4).\nAnswer: 16*sqrt(17) + 39176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a - 12 + 12 - 2*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 50*s**2 + 5*s + 4. Let y be z(-1). Calculate the highest common divisor of 49 and y.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.37? (a) 0.6 (b) -0.1 (c) -360877\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 126.81 rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c*y**2 + 775*c*y + 726537*c - y**2 wrt y.\nAnswer: 4*c*y + 775*c - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-9))\/((-2)\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -25 (b) -1\/6 (c) -1\/3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 68969, 68967, 68965?\n\"Answer: -2*y + 68971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45*y**4 + 4875*y**3 + 3082677*y**2.\nAnswer: 1080*y + 29250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*s + 44*s - 94*s - 396 = 0 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 158814 and 14688.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - -1) + (-6 - (-6 - 13) - 19).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) - (-1 + sqrt(637))**2 - sqrt(130)\/sqrt(90)) + -5*(sqrt(13) + -1)**2*-5.\nAnswer: -288 - 88*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -n + 20, 4*n - 41*l + 80 = -53*l for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 + 3350 - (3 + 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 - 4*i**3 + 0*i**2)*(i + 4 - 4).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 4 - 1. Let r(u) = 11*u + 302. Let w be r(-27). What is the units digit of j*45\/w*-7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 730 + 1 = 849*k - 892*k for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 12*g**2 - 14*g + 52. Give x(13).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -94\/72675 and 1\/67575.\nAnswer: 3851775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -97.6 minus 5.282?\nAnswer: -102.882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 9) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 128533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5520 and 228390.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 932?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 2937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -643\/3 - -217. Find the common denominator of 50\/3 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/74735 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -5, -0.27102?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**2\/3 + 169356878*z\/3 + 7170438031476721\/3 = 0?\nAnswer: -84678439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 6:11 AM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1257960 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - -19) + (14 - (10 - 17)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.559410046 - 0.040590734. Let l = -0.2 - 1.4. Let z = l - v. What is z rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11630 (base 7) to base 12\nAnswer: -192b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 4*p - 26, 5*p + 28 = o + 3*o. Factor -g**2 + 5*g**4 + 15*g - 10 + 4*g**3 - 19*g**3 + 6*g**o.\nAnswer: 5*(g - 2)*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 14*h**2 - 13*h - 4. Let v be a(-13). Let b(x) be the first derivative of 2*x**3\/3 + 3*x**2 + 3*x - 2. Calculate b(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2404?\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2074 and 1250622?\nAnswer: 1250622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/(-4))\/(-3))\/(15\/30)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 8*o**2 + 6*o + 10. Is f(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -3151?\nAnswer: 3150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 0. Suppose j*t - 32 = 2*t. Is t a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 14) + 9 - -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29699862623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 v when two letters picked without replacement from vcvvr?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1674)\/(-189) + 1\/7. Let q(c) be the first derivative of a + c**2 + 0*c**3 - 3\/2*c**4 + 0*c - 4\/5*c**5. Find v such that q(v) = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*a**3*z - 84*a**3 - 14*a**2*z - a*z - 6*z - 15 wrt a.\nAnswer: -36*a*z - 504*a - 28*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-2) + (-6)\/(-4). Solve 2 = 4*j + y - 2, y = 5*j + v for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 8*g - 12. Determine u(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/2 + 28*q + 58.\nAnswer: -(q - 58)*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001058957 rounded to seven dps?\nAnswer: 0.0000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 p when four letters picked without replacement from mplpmlllpllppl.\nAnswer: 25\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(124\/(-2)))\/(23*45\/(-2070))?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 144 = 8*g. Suppose 6*z - g = 14. Solve 4*b + 16 = 2*u, -z*u + 13 = -2*b - 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i + 63 + 22 = 0. Let x(q) = q**3 - 6*q**2 + 2*q - 8. Let j be x(6). Solve 2*h - 5*n - 8 = 0, -i*n - 12 = -j*h + 6*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 15, 24, 41, 66, 99?\n\"Answer: 4*z**2 - 3*z + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 - -30. Calculate the remainder when d is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -9 + 2 - (3 - 6). Let f(x) be the third derivative of -5*x**4 - 3*x**3\/2 + 3*x**2 - 79. Is f(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -2.7. Let b = c + -0.4. Let y = -5 - -3. What is the second biggest value in -1, b, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.008, -0.1, -2\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a - a + 0*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -416*u**3 + 11*u**2 - 422. Let l(x) = 83*x**3 - 2*x**2 + 84. Let s(b) = -2*h(b) - 11*l(b). What is the derivative of s(k) wrt k?\nAnswer: -243*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - 3*n, n + 12 = 4*m. Suppose 3*h = 3*f - 15, 16 = 4*f - 0*h - m*h. Let g(o) = -o**3 - 2*o + 1. Calculate g(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*d + 8*d + 23452 = 0. Is d a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m + 19. Give d(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -19*z**2 - 10*z + 10. Let c(o) = 48*o**2 + 24*o - 24. Let q(r) = 5*c(r) + 12*p(r). Let i(t) = -t + t - t + 0. Give i(q(l)).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2367876, -4735913, -7103948, -9471981, -11840012?\nAnswer: -14208041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*m + 0*m + m**2 + 2*m.\nAnswer: m*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110100001111 (base 2) to base 14.\nAnswer: 130b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.189 - 2.781. Let u = -0.03 + z. Suppose 3*a - 13 = p, 3*p + 19 = 8*a - 4*a. What is the second smallest value in p, u, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-14)\/(-133) + (-911113)\/(-1387) is divided by (4 + 0 + 0)*5.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -665 = -36*t + 29*t. Suppose 5*v = t - 15. Does 3 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k - 5. Let d = 22655 + -22662. Let x(u) = 4*u - 9. Let v(f) = -3*f + 10. Let q(a) = 7*v(a) + 6*x(a). Determine d*w(r) - 2*q(r).\nAnswer: r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*y + 124*y - 240*y = -8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**5 - 747*k**4 + 765*k**3 + 3759*k**2 + 2250*k = 0. Calculate k.\nAnswer: -250, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1.5, 96, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*d - 690 = 45*d. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73c7c (base 13) in base 9?\nAnswer: 347182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -400 rounded to the nearest ten?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4 + sqrt(15)\/sqrt(3))**2.\nAnswer: 8*sqrt(5) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d**3 + 7407345*d**2 - 44444097*d + 66666159 = 0. Calculate d.\nAnswer: -7407351, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 2\/25, -4?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -85.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2025\/300 + (-7)\/1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-37)\/(-740))\/(4\/10)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1142 + -773. What is the remainder when t is divided by 94?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -13*l**6\/30 - l**4\/3 - 3*l + 12. Let b(s) be the first derivative of u(s). Find the third derivative of b(c) wrt c.\nAnswer: -312*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/36 and -167\/109326.\nAnswer: 655956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or -1\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hz when two letters picked without replacement from {q: 1, h: 9, y: 4, z: 1}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3636 - b - 515 - 2*b**3 - 217.\nAnswer: -2*b**3 - b - 4368","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9771*a**2 + 9208?\nAnswer: 19542*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -128.32 - -0.32. Let y = l - -127.527. What is y rounded to 2 dps?\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 211\/13 + -212\/13. Which is the closest to 2\/5? (a) 0 (b) -2\/41 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -767*v - 21. Let y be m(3). What is the hundreds digit of (y\/(-18))\/((-2)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 4*h**3\/3 - h**2\/2 - 2*h. Let d be o(1). Solve -10 = 2*a - d*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39290813 + 234683?\nAnswer: 39525496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 13*q**2 - 27*q - 2. Let s be z(11). Let r be s\/(-9) + 8\/12. Which is the nearest to 2\/9? (a) 2\/15 (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/7 and 47\/915.\nAnswer: 6405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252*u - 12 = -258*u. Solve -2*d - n = u*d, 5*n = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 2*q - 2. Let d(p) = 5*p**2 + 9*p - 8. Suppose -5*g = -72 + 27. Give g*r(h) - 2*d(h).\nAnswer: -h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, -1, -93, 3 in descending order.\nAnswer: 7, 3, 1, -1, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 - 33. Let u(q) = 5*q**2 + q + 1. Let j be u(-1). Which is the closest to 1? (a) p (b) -1\/6 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of g**3 - g**2\/2 - 4*g. Is 24 a factor of u(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 6:25 AM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12861925?\nAnswer: 5, 127, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4074507489.\nAnswer: 3, 13, 157, 409, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84*0.001.\nAnswer: -0.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 495385.\nAnswer: 5, 11, 9007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457344 is divided by 2659.\nAnswer: 2655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/80 and -13\/22.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u\/u**(2\/15))\/u*u)\/(u*u**(-2\/9))*(u**(-1)*u)**(-25) assuming u is positive.\nAnswer: u**(49\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.3, 0, 530, 18\/17, -3\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.25, 2, 0.3, -5 in increasing order.\nAnswer: -5, -0.25, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 554?\nAnswer: 7756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*h + 5*a - 1353 = -28*h, -h - 336 = -2*a. Calculate the remainder when 170 is divided by h\/(-10) + (-4)\/(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45203843 is divided by 646.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 300 - -61?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + h**5 - 2 - 6*h**5 - 2*h**5 + 3*h**5 + (h**4 + h**4 - h**4)*(-h - 4*h + 3*h) + 3*h**5 + 0*h**5 - 5*h**5 + (0*h**4 + 0*h**4 - h**4)*(4*h - 3*h + 0*h).\nAnswer: -9*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + (sqrt(1100)*1*2 - sqrt(1100))*2.\nAnswer: 3 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 + 534\/(-30))*30\/21?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 3*f. Let o(a) = a**3 - 2*a**2 + 7*a. Suppose 4 = g - x, -4*x - 40 = -2*g - 28. Determine g*o(j) + 5*v(j).\nAnswer: 2*j**3 + j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5 + (6*5*3*sqrt(68))\/(-1*sqrt(256) + sqrt(4) + sqrt(12)\/sqrt(12)).\nAnswer: -180*sqrt(17)\/13 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 11 = -0*b. Suppose 0 = -3*g + 1 + b. Let n(i) = i**3 - 4*i**2 + 5*i - 6. List the prime factors of n(g).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 402\/322*(-14)\/(-21). Let l = g + -6\/23. What is the common denominator of l and (-123)\/(-33) + -1 + 0?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14472 and 1512.\nAnswer: 101304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-47*o + 1247 - 1247)*(o**2 - 6*o**2 + 3*o**2) to the form s*o**2 + d + r*o**3 + f*o and give r.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5215 = -14893. Let h = -6395 + l. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dedd when four letters picked without replacement from ddodeeeeodde?\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 559*t - 2. Suppose 4*v + 4 = 8. Is b(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 6*o + 9 = 0, 4*c = o - 223. Let k = 55 + c. Sort 4, k, -1, -2.\nAnswer: -2, -1, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 255174951?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85900 is divided by 309.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/2*21\/(-24) and ((-114)\/27)\/2 + 1\/2.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113503 a multiple of 281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 143?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4170, -19521, -45104, -80919, -126966, -183245, -249756?\nAnswer: -326499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15597344 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 55281*v. Let d(a) = -2*a - 37. Give t(d(m)).\nAnswer: -110562*m - 2045397","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.1308 * -0.5\nAnswer: 0.0654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.67, 6, 18, 4, 5?\nAnswer: -0.67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 0.01 (c) 5 (d) 15.18 (e) 14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 369\/3*(-7)\/21?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5*1 - (-12)\/(-4). What is the remainder when 6*d\/9*3 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -178942 - -0.4381?\nAnswer: -178941.5619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 f, and 1 q when three letters picked without replacement from qfyyfqfqjfjffffyq.\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-96)*4)\/(27\/(-36))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 110125 (base 6) to base 14\nAnswer: 347b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/384415300?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -73*d**3 + 32120*d**2 - 72*d + 31652. Calculate r(440).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 - 29 - 6) + (-2 - -12) + (-23)\/(-27).\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 11*f**6\/6 - 2*f**3\/3 - 11. What is the third derivative of a(k) wrt k?\nAnswer: 660*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2787*j + 1436*j - 18610 - 2*j**2 + 0*j**2 + 18610 to the form i*j + u*j**2 + b and give i.\nAnswer: 4223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 20*a**2 + 39*a - 1. Let n be l(-17). Let q = 4100 + n. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, e: 2, o: 2}. Give prob of sequence yoyo.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4775 divided by 3522.\nAnswer: 4775\/3522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - y - 1. Let d(h) = -46*h**2 + 6*h + 5. Let i(f) = -d(f) - 5*t(f). Let c(v) = -14877*v + 7445*v + 7433*v. Determine i(c(n)).\nAnswer: 51*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100100 + 10?\nAnswer: -110100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 z, and 1 i when four letters picked without replacement from zizzzzigjzziiigizzi?\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1110617, -2221236, -3331855?\n\"Answer: -1110619*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - f. Let z(i) = -55*i**2 + 66*i. Determine -66*d(p) - z(p).\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 500 + -575. What is the smallest value in x, -1\/5, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 32860 and 1143.\nAnswer: 34003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2496*x + 2509*x + 302 - 29 = 0 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 75 + 57. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bvnbdvnnnvvvvvvvdvnv. Give prob of picking 2 d and 2 b.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 7*l**2 - 2*l + 5. Let j(q) = -336*q + 49. Let p(t) = -49*a(t) - 2*j(t). Let h(o) = o**2. Calculate h(p(y)).\nAnswer: 196*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -13*x - 1. Let z(u) = -2*u + 3. Let w be z(2). Let t be c(w). Solve -5*g - t = -g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1023171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 12*d - 12. Give f(-9).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4*u - 11 = 2*r, -55 = -5*r + 2*u. Suppose -69 + 47 = r*s. Sort s, -1, 38.4 in descending order.\nAnswer: 38.4, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 24.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 6*t - 21. Suppose -5*g - 121 = -181. Let p be b(g). What is the remainder when 74 is divided by (-3)\/6 + p\/2 + 1?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by 23642.\nAnswer: -19\/23642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 459 is divided by 109?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and -0.170737643.\nAnswer: 2.829262357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - i**2 - i + 40. What are the prime factors of m(0)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 5. Let b(k) = k + 0*k + 0 + z*k - 4. What is b(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 915078230 to the nearest integer?\nAnswer: 30250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-26 + 11 - -1) + 182\/13\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 110 = -4*l + 5*t, -2*t + 34 = -l. Let y be (-1)\/5 - l\/10. Find the second derivative of y*m**2 + 0*m**2 - m - m**2 wrt m.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 7:31 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jwj when three letters picked without replacement from wjwjwwjwww?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eezeeeeszggegegvee. What is prob of sequence eve?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 3, -349, -16 in ascending order.\nAnswer: -349, -16, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of 31*c**3\/3 + 33*c**2\/2 - 13. Find the second derivative of a(m) wrt m.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((-7)\/20)*(-5355)\/2380\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*c + 28308 = -44167 + 18577. Calculate the remainder when c is divided by 1380.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40ca (base 13) to base 6.\nAnswer: -105242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -13. Suppose 5*v - 2*v + 6 = 0. Let h be 4\/(24\/(-9))*v. What is the highest common factor of w and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p + 3. Let u be l(2). Let f(d) = d**2 - 6. Let o be f(u). Let k = 21 - o. Solve j - k = -1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4350*p - 127*p**3 + 567*p**2 - 91*p**3 + 216*p**3 + 73*p**2 wrt p.\nAnswer: -12*p + 1280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*b**3 + 24*b**3 + 18*b**3.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -2*o**5 + 12*o**4 + 54*o**2 + 0 + 2\/15*o**6 + 4*o - 36*o**3. Factor a(x).\nAnswer: 4*(x - 3)**3*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2. Let l(x) = 22*x**2 - 29*x**2 + 9*x**2. Give l(b(u)).\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 9*f**2 + 8*f - 18. Let o be k(-8). Let i = 20 + o. Let z(j) = -7*j**2 + 7*j**2 + 2 + i*j - j**2 - 8*j. Calculate z(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470578 to the power of 1\/2, to the nearest integer?\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1365073.8999999 - 1365074. Let h = 3.1 + -3. Let u = h + p. What is u rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/1*((-237)\/(-474)*138\/(-9))\/(-1).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bglllbllglrlbllllcll. Give prob of sequence gr.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -236 less than -238?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 3*p = 12, -7492*w = -14984*w + 7493*w + 2*p + 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -76*k - 678. Determine r(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -52540 - 6106?\nAnswer: -61646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2156 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x*x**(-1)\/x))**(-33)*(x\/x**(-1\/6))\/x*x**3 assuming x is positive.\nAnswer: x**(-575\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/5, -0.02, -1\/4, 0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-59)\/(-5) - 156\/(-130). Let v(o) = o**3 - 5*o**2 + 6*o - 5. Let u be v(4). Differentiate 5 - 18*w + u + g - 18 with respect to w.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from faaaafaafaaafafaaa.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -8*c**5 + 7*c**2 - 2. Let r(w) = 15*w**5 - 13*w**2 + 5. Let v(l) = 2*r(l) + 5*s(l). Find the third derivative of v(a) wrt a.\nAnswer: -600*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -5, -17, -0.3, -2 in increasing order.\nAnswer: -17, -5, -2, -0.3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*12.1554749.\nAnswer: 3.64664247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-2 + 3))\/(114\/171). What is the third derivative of 8 - 113*f**3 - f**4 - 8 - 58*f**2 + 73*f**z wrt f?\nAnswer: -24*f - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9769913249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**3 - u**3 + 26*u**2 + 57*u**2 - 83*u**2.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in 0.2, -2\/5, 5, 2057642, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 113 - 113.7. Sort -4, f, 2, 3.\nAnswer: -4, f, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(-7)*v\/(v\/(v*v**(-6)))*v*v*v**(1\/3)*v\/(v*v\/(v\/v**(10\/9))))**(-18) assuming v is positive.\nAnswer: v**158","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*n + 8 = 25*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2 - 2*c + 2. List the prime factors of b(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1540643 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 2307, 1\/956, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.9533 + -9.9533. Sort 1\/2, j, 2250 in ascending order.\nAnswer: j, 1\/2, 2250","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 773*t = 778*t - 25, -t = 5*g - 28 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 31*p**2 + 4*p - 15. Let a(c) = 33*c**2 + 6*c - 14. Calculate 2*a(w) - 3*m(w).\nAnswer: -27*w**2 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k + 3. Let d be z(-5). Let l(f) = -3*f**2 + 21*f**2 + 0*f + 8*f - 11*f**2 - 6*f**2 - 5. What is l(d)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000000011110 - -10?\nAnswer: -100000000011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3487 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1103098*p + 216 - 1103198*p - 217.\nAnswer: -100*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + ((-37299)\/(-2079) - (-191)\/2101)?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 44\/10 + (-6)\/15. Suppose 3*g - 19 = z*j, -8 = -g - 0*j + 3*j. What is the second derivative of 27*r - 6*r**5 - 22*r + r**g wrt r?\nAnswer: -100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40 - 3364\/(-87))*(-36)\/(-16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence khh when three letters picked without replacement from yhkkhkhykshs.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*4\/((-32)\/508). Let s = -81 - q. What is the least common multiple of s and 10?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.35*49.\nAnswer: -17.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1293 - 1881. Let l(o) = o**3 - 5*o**2 + 5*o + 1. Calculate the remainder when l(5) is divided by (-6)\/4*(b\/(-9))\/(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 734 = -2*i + 6*i + 2*t, -3*i - t + 551 = 0. Calculate the common denominator of 29\/7 and i\/35 - 44\/110.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, t: 10, u: 2}. What is prob of picking 1 u and 2 t?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000132735 to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 14*x - 55. Suppose k + k - x*a - 86 = 0, 4 = a. Suppose 459 = 5*q + j, -2*q - 3*q + 456 = 4*j. Calculate the remainder when q is divided by k.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a + 27. Let n be t(-11). What is the second derivative of -6*p + 5*p**5 + 14*p + 6*p - 12*p**n wrt p?\nAnswer: -140*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of 0*z**2 - 1\/2*z**5 + 1\/6*z**4 + 7*z + 0*z**3 + 0. Find the third derivative of s(b) wrt b.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5344581857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (22\/(-55))\/(1\/(-75)). Solve 3*v - 2*j + 11 = 0, -4*v - 2*j = 3*j + z for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-18)\/10 + 1)*33\/(-66). Let -q*j**2 + 0*j + 0 = 0. Calculate j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -315*g - 25 = -320*g. Solve 0*v - 2*v + 4*i + 6 = 0, g*v + 30 = -5*i for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1795 + 1795. Let i be 20\/(-70) + 76\/70. Do i and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/9*(-4224)\/(-3080)*-15?\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nppxnnxnppnn. Give prob of sequence pnxp.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -30429 divided by -10143\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 175179786 a multiple of 654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 3\/34, 1?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 10:27 AM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**2 + 6*f - 8 = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 186 + 724. Suppose -15*g = -305 - i. Is 27 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 147700 divided by 147700\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a**3 + 13*a**2 - 5*a + 8. Give i(3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-2\/3)\/l*l*l*l)**(20\/13)\/(l**7)**(-2\/95))**(-10\/11) assuming l is positive.\nAnswer: l**(-27692\/8151)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6867.55 and -21.97.\nAnswer: -6889.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 8*y + 1. Determine q(-11).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9821\/11 - (-1)\/(-4). Let g = -3577\/4 + o. Let m = -1657\/91 - -297\/26. Find the common denominator of g and m.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q - 517 + 541 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2277 and 7.\nAnswer: 15939","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 3*v + 4*m - 13, 3*m - 18 = -2*v. Put v, -2, 1 in decreasing order.\nAnswer: v, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 403, 5, 9, 1.\nAnswer: 1, 5, 9, 403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374236.\nAnswer: 2, 93559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.58 - -2.58. Let o = 3 + -3. Let g = -1 - o. Sort g, 1\/6, n in increasing order.\nAnswer: n, g, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82230032?\nAnswer: 2, 5139377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 + 21. Let y = -11 - u. Let r be (-14)\/15 - (-1)\/3. Which is the second biggest value? (a) y (b) r (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(sqrt(42)\/sqrt(6)) + (sqrt(77) - sqrt(77)*2)\/sqrt(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nine tenths of a century?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2. Let s(k) = -192*k**2 + 142*k**2 + k + 9 - 6 - k. Give v(s(q)).\nAnswer: -5000*q**4 + 600*q**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3402251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 9*c + 8 + 25 + 9 - 11 as x*c + k and give k.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12544*y**3 - y - 3765 wrt y?\nAnswer: -75264*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7.229+-54\nAnswer: -46.771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -132 + 70. Let f = c + 92. Calculate the greatest common factor of 12 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 34 = -4*n + 34, 4*n = -2*p + 48. What is the least common multiple of 6*18\/(54\/5) and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 22 = 4*o - 0*m, -3*o + m = -13. Let s be (8\/(-12))\/(2\/(-12)). Suppose l + 18 = s*c, -3*c + 5*l = -o*c + 20. Solve -36 = c*p - 11 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or -59599\/111?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70725?\nAnswer: 3, 5, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 5*c + 10. Let i be p(-2). Let g(x) = -x**2 + 8*x. Let d be g(4). Suppose -4*s + d = -i. Sort -1, s, 0 in decreasing order.\nAnswer: s, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56 by 3560.\nAnswer: -7\/445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -951, -7864, -26795, -63804, -124951, -216296?\nAnswer: -343899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -81 + 83. Suppose -37 = -3*x + 5*i, 0*x + s*i = -4*x + 58. Let u = -44\/3 + x. Which is smaller: 36 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1552 times -0.2?\nAnswer: 310.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 252096823057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 837728192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -3*m - 13, 0 = -392*r + 387*r - 2*m + 23 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**2 + 4*l**2 - 5*l**2 + (0*l - l + 0*l)*(0*l - 2*l + 3*l) + 2*l**2 + 0 + 0 - 24 - 26 + 48 + 14*l**2.\nAnswer: 17*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.090390615 to 3 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-4\/7)\/o**16*(o*(o**(2\/101)\/o)\/o*o)\/o**(-3\/17) assuming o is positive.\nAnswer: o**(-196813\/12019)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 2715062?\nAnswer: 1\/1357531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a century in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 9*x - 20. Let k be d(11). Let l(g) = 6*g - 2*g - g - 2. What is l(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37956 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 3*m - 1. Let q be u(-4). Suppose -3*c = 4*i + 34, 2*i - 32 = -0*c + 2*c. What are the prime factors of (q\/6 - 1)*c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 5 + 7 + 2 - 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 989935632 to the power of 1\/3, to the nearest integer?\nAnswer: 997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**3)**(2\/3))**27 assuming p is positive.\nAnswer: p**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 410338329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*v - y, 3 = y + 4. Let k be (-2)\/4 - (-2)\/v. What is the second smallest value in -0.4, k, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k = -9*k + 90. Let h be (0 - 3\/71)\/(k\/20). Let r = -416\/355 - h. Sort r, 3, 5.\nAnswer: r, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.55 times -1\nAnswer: 0.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 66933001?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6603.574 nanoseconds to milliseconds.\nAnswer: 0.006603574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 170*p + 3486. What is z(24)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 divided by -5?\nAnswer: -47\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*m + 2751 - 17493 = 11*m. Calculate the greatest common factor of 1339 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000513458 rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1242*j + 14434 = 3373*j - 61012 - 84379 for j.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t - 1625 = 2549 + 1062. Calculate the greatest common divisor of 110 and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 2:05 PM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -535, 0.1, -2, 10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*d + 6 - 2 - 14)*(-1 - 2 + 2).\nAnswer: -7*d + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-453)\/(-28992)*((-6)\/20)\/(66\/(-176))?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.239 + 0.061. Suppose -3*c = -0*c - 3. What is the third smallest value in c, -3\/7, u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 13 - (17 + -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 11:04 AM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 24. Suppose o = -s*o + 12. What is the remainder when 7 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -213 - -311. Suppose x + z = 8*x. Suppose 3*l - h = 113, 0 = 5*l - 0*h - 3*h - 183. What is the remainder when l is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n + 10. Let v(d) = d**3 + 9*d**2 + d - 11. Let h be v(-9). Let i = h - -20. Give m(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 11:46 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 y when four letters picked without replacement from {q: 2, y: 9}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228 = -x - 222. Let p(c) = c**2 - 5*c - 3. Calculate the remainder when p(-3) is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 4 - 4*u + 2*u + 1410*u**3 - 6*u - 237*u**2 - 1050*u**3 = 0.\nAnswer: -2\/15, 1\/8, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -5*b + 13. Let c(l) be the second derivative of l**3\/6 - 3*l**2\/2 - 7*l. Give -9*c(j) - 2*n(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 0.919.\nAnswer: -0.3676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*h = 170*h - 1869141. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c + 3. Suppose 0 = -t + 3*t + 18. Let b be s(t). What is the smallest common multiple of (-2)\/(-4) - (-186)\/b and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of 2*y + 0*y**3 + 21\/20*y**5 - 4 + 7\/6*y**4 + 0*y**2. Find the third derivative of n(v) wrt v.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/4)\/(18\/8). Let s be (-1)\/5 + (-2)\/10. Let i = 16708 + -16707.9. What is the nearest to -0.1 in b, s, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*o + 2*o + 5412 = -6*o + 33*o for o.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 32375, 64745, 97115, 129485, 161855?\n\"Answer: 32370*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-6) - (-66)\/9. Suppose 0*n = -2*n - 12. Let p(b) = -b**2 - 6*b + 4. Let c be p(n). Solve z = m - c, 2*z - 26 = m + k*z for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-62)\/93)\/(3\/(-18)*-4)*3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, c: 1, t: 4, m: 1}. Give prob of sequence mct.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/(-153))\/(54\/(-306))*-94.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -1. Suppose v - 5 = -3*y, 4*v - n*v = -8. Suppose -y*o = -7*o. Solve 0 = 5*w - o*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -150\/29 + 31679\/6119. Which is bigger: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38 + 33. Is ((-1)\/(-5))\/(2\/w)*-44 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -147.9 + 148. What is the closest to 1 in 3, -2\/3, g, -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/27202 and 83\/5031964.\nAnswer: 337141588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gxgx when four letters picked without replacement from {g: 4, x: 10}?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 452 - 310. Let b = d - 140. What is the biggest value in 50, 0.2, b?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 7*j - 5. Let p(s) = 2*s**3 - 13*s**2 + 2*s + 21. Let d be p(6). Calculate n(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 3*s + 5*c - 93, 5*s = 4*c + 178. What is the remainder when s is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -3*m**3\/2 + m**2\/2 + 809*m + 1. Let f(p) = 17*p - 1. Determine -3*f(b) - 5*z(b).\nAnswer: -6*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3993 times -63?\nAnswer: -251559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -23799, -95539, -215215, -382827?\n\"Answer: -23968*h**2 + 164*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1500)*2*-1)\/((-1*sqrt(588) - sqrt(588) - sqrt(12))*-3) + 1.\nAnswer: -2*sqrt(5)\/9 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**4\/4 + 2814*q**3 - 14641427*q**2\/2 - 3364882710*q - 1429853935225\/4 = 0. What is q?\nAnswer: -205, 5833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + 12 - 12 - 8*i**2 + i**2 + 4*i - 4*i + (0*i - i + 2*i)*(-4*i + 0*i + 2*i) + 2*i**2 - 4*i**2 + i**2 - 2*i**2 + 0*i + 0*i + i - i**2 - i.\nAnswer: -13*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2142142162 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2538*c + 2493*c + 23717700 = 0. Round c to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -272 and 0.0298?\nAnswer: 272.0298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14246?\nAnswer: 2, 17, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 7 + l - 48*l**2 + 25*l**2 + 25*l**2. What is the tens digit of o(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11668 = -67*z + 62*z + 4*x, 2*z - 4670 = 3*x. Calculate the remainder when z is divided by 335.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (8\/48)\/((16\/120)\/(10284\/15)) is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*r + 19 + 9 = 0, -12 = -2*w + 4*r. Let u(o) = 3*o**2 - 3*o - 2*o - 4*o**2. Calculate u(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96 - -29.955252858\nAnswer: 125.955252858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -87*w - 84*w - 2*w**2 - 88*w + 269*w as l + i*w**2 + b*w and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f\/((f**(-9)*f)\/f*f*f))*f*f*f)**31*f**(-13)\/f*f*f**(-26) assuming f is positive.\nAnswer: f**(-194)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 242110 - 1?\nAnswer: 242106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 18.661?\nAnswer: -18.361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 10 + 12 = 0. Solve -3*g = -p + 7 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 1407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95086 - 96590 = 47*v for v.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (14 - (9 - 4 - -2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/(-18))\/(3\/3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of d**4\/4 + d**3\/3 + 5. What is i(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 7*d - 2. Let g be a(8). Suppose 4*u - g = -3*z, u - 6*u + 21 = -3*z. Sort 1, -3, u in descending order.\nAnswer: u, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2695 (base 16) to base 5\nAnswer: -304002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (4 + -3)) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 709\/297 + -170\/27. Find the common denominator of j and 79\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - 1) + 1\/(10\/250). Factor 11*a**4 - 66*a**4 - 35*a**3 + 95*a + t + 17 + 10*a**2 - 55*a**3 - 5*a**5.\nAnswer: -5*(a - 1)*(a + 1)**3*(a + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (407808\/37760)\/((-9)\/70)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-120)\/(-75))\/(10\/11675).\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 6*u**2 + 3*u + 1. Let z be h(-5). Suppose 4*p - 1 - z = 0. Suppose p*b = b + 66. Calculate the greatest common divisor of b and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41726 divided by -5?\nAnswer: 41726\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, b: 4, z: 1}. Give prob of sequence bz.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 1:36 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 101*d**2 - 216*d - 15. Let t(f) = -84*f**2 + 216*f + 14. What is -5*p(i) - 6*t(i)?\nAnswer: -i**2 - 216*i - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40*a**4 - 99315*a**3*u + 9*a*u - 2*a - 103665*u + 4 wrt a.\nAnswer: -480*a**2 - 595890*a*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -7. Let w be q + -6*2\/(-2). Solve -2*l = -w*c - 6, c - l = 2 - 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9917.\nAnswer: 47, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, 351, -15, -4 in descending order.\nAnswer: 351, 5, -4, -6, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(125) + 4.\nAnswer: -30*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 85\/4 of a litre?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 37 - 3?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78 - -111. Let c(s) = 2*s**2 - s - 136. Calculate the remainder when c(11) is divided by o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*i + 12 = 5*v - 215*i - 8, -3*v - i = 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 410 divide 2117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2\/9, 65, -4, -0.015, -5 in descending order.\nAnswer: 65, 1, 2\/9, -0.015, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.33*0.9\nAnswer: -0.297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -585*d + 212. Is k(-13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of b**5\/20 + 3*b**4\/4 - 5*b**3\/3 - 206*b. Determine z, given that m(z) = 0.\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**5 - 3*m**2 + 3*m**2 + (2*m**2 + 0 + 0)*(-3*m**3 + 0*m**3 - 5*m**3).\nAnswer: -18*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/(-16) - (-2 + -1) and -39\/22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*w**2\/9 + 107*w\/9 - 11.\nAnswer: -(w - 1)*(8*w - 99)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -95\/2, 1\/6, 0.5, -9, 1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -1379?\nAnswer: -413.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-31)\/(t\/t**(2\/11)) assuming t is positive.\nAnswer: t**(-350\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -104*u**5 + u**4 - 109*u**2 + 44997*u.\nAnswer: -2080*u**3 + 12*u**2 - 218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -2 + (56 - 31)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 936 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 l = -0.066 - -33.066. Let p = 32.8 - 0.1. Let g = p - l. What is g rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2309, 1978, 1513, 920, 205?\nAnswer: -626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 14*z + 7. Is s(7) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.04, 2\/9, 1087, 2\/5, 1\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 11:33 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pd when two letters picked without replacement from pwguuuuunuudupduuu?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -62322021 and -367.\nAnswer: -62322388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -6*p + 16. Suppose 0 = 3*b - 2*b + 2, 4*r - p = 2*b. Suppose 0 = -2*h - 1 + 7. Solve 0 = -h*c - r*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 643706 - -5?\nAnswer: 64370b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 475 divided by 1382590.\nAnswer: 95\/276518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -297035, -1188109, -2673237, -4752425, -7425679, -10693005, -14554409?\n\"Answer: -x**3 - 297021*x**2 - 4*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -189, 26, 7 in decreasing order.\nAnswer: 26, 7, -4, -5, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 355*(220\/50 + 2 + -6). Find the first derivative of 0*k**3 - 167*k + 137 + 3*k**3 - m*k + 333*k wrt k.\nAnswer: 9*k**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 180, 350, 520, 690, 860, 1030?\nAnswer: 1200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 8 and -9994.\nAnswer: -9986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -578.18269?\nAnswer: -2312.73076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3384 is divided by 842?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -103 - -106. Let w(f) = 2*f - 2. Let m(p) = 10*p - 10. Determine i*m(d) - 16*w(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -31 - 81. Let u = 16 - s. Let j(y) = -y + 38 - 78 + 22. Give j(u).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-45)\/6)*(-8)\/(-4)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((13600\/(-612))\/(-8))\/((-1)\/(-18))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -142*b + 138*b + 964, -2*b = -3*k - 490. Calculate the highest common divisor of b and 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3*o = -29, -3*o + 0*o - 27 = -3*h. Let r = -172 + 173. Calculate the highest common divisor of h and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -227582 and -227581 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -73.6 - -88. Let g = -9.1 + j. What is g rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of n**3\/3 + n**2 + 3*n. Let o(z) = -z. Let g be o(3). Let m be h(g). Put -2, 2, m in decreasing order.\nAnswer: 2, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j + 2*j - 3488*j**2.\nAnswer: -3488*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*3*(-5*((-2*(1 + sqrt(567) + sqrt(567) - sqrt(567)) - sqrt(567)) + -4 + -1 + 0 + sqrt(567) + 4))**2.\nAnswer: 16200*sqrt(7) + 341550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnhhnhnnnnnn. What is prob of sequence hh?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26136 + 26114. Which is the nearest to 1\/2? (a) z (b) -172 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 m when three letters picked without replacement from {m: 14, l: 5}.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 5*i - 57, -3*i + 5*n + 49 = -0*i. What is the remainder when i is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - (-24)\/(-32))\/(2\/(-104)). Let p = -48 - t. Suppose -p*j + 1088 = 323. Is 2 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 1, -2, 36\/17 in ascending order.\nAnswer: -2, 0.04, 1, 36\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 7*y + 1. Suppose 0 = -5*g - 7 + 22. Suppose 4*s = -s + 3*q - 22, 0 = -g*s - q - 16. What is the least common multiple of h(s) and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 160 - 155. What is the smallest value in -5, -3\/7, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 10 = -4*n, -3*n + 0 = 2*d - 35. What is the highest common divisor of d and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 2*p, -4*p = 3*n - 0*n + 11. List the prime factors of (-10)\/p - (-2)\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 3*o**2 + 3*o + 3. Let s = -17 - -15. Let u be f(s). Is (2\/(-3))\/(u\/(-21)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/12*(-1 + 22\/28)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 3. Let d = 8 - f. Suppose -d*s = -2*s - 170. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(192) + 3 + 4*(0 + sqrt(48)))**2.\nAnswer: 336*sqrt(3) + 1777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-4) + (-2)\/4. Let g be (-6 - 133\/(-7)) + -18. What is the third biggest value in u, 2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -5*w + 10 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - 1\/1*-6. Let h be 2\/(3 - 1)*0. Suppose h = 4*d + q*r - 63942 - 32043, -d + 24006 = -2*r. Round d to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 11 = -5*w + 3*w - 19, -2*w + 6*r = 42 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -5. Suppose 2*a - 48 + 2 = z. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*z**17\/z*z*z*z*z*z*z**(-19) assuming z is positive.\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6336\/2160)\/((-24)\/120).\nAnswer: -44\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 91366 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j**2 - 3. Let o(l) = -15*l**2 - 15. Give 2*o(r) - 11*p(r).\nAnswer: 3*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -2959*t**4\/2 + 5006*t - 6211. Differentiate a(u) with respect to u.\nAnswer: -17754*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10899 and 149973873.\nAnswer: 3633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1948044100.20000153 - -1948044082. Let q = 18.2 + c. Round q to seven dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 163387615?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -16*k + 91. Let x be w(4). Let g be 5\/(-2*(-20)\/16). Solve -20 = g*u + 4*o, 2*u - 5*u = 5*o + x for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -7) + -3 - 3. Let q be 2 + u - (-11 + -4). Let d = q - 12. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5957591 - 202.\nAnswer: -5957793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 4:01 AM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 992340706 to the nearest integer?\nAnswer: 31501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + -25*51\/(-170). Let p(c) be the second derivative of -1\/12*c**4 + 0 - 28*c + t*c**2 + 2\/3*c**3. What is p(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*((-10)\/(-6) - 2). Let r(g) = 2*g**2 - 2*g - 3. Let h be r(7). Let v = h + -79. Sort v, -2, p, 1 in decreasing order.\nAnswer: v, 1, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20466 - -5441. List the prime factors of o.\nAnswer: 7, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 3\/10*x**5 + 0 + 1\/3*x**3 + 0*x**2 - 1\/2*x**4 + 2*x - 1\/15*x**6. Factor o(i).\nAnswer: -2*i*(i - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of u**2\/2 - 5*u + 11. Calculate the remainder when -3 - (0 + (3 - 17)) is divided by p(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**4\/24 - 2*b**2 + 32*b. Let d(w) = -149*w. What is p(d(x))?\nAnswer: 149*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -188325, -188456, -188671, -188970, -189353?\nAnswer: -189820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -96?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*w = 48*w, 10 = -5*t + 2*w for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = l - 16, -4*l - 221 = 5*b - 183 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0 = -4*h + 32, 0 = 4*h + 2*r - 36. What is the lowest common multiple of h and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 5*u**2 - 4*u + 8. Calculate the remainder when 27 is divided by s(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 2*u + 6 = 0, -9*k - 12 = -14*k + 4*u for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 128*u**4 - 10719*u**3 + u**2 - 1601*u + 5 wrt u.\nAnswer: 3072*u - 64314","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 0*g + 9 - 3*g + 10 - 8. Let n be r(-5). Let t(v) = 14*v**2 + 3*v - 2. Let m be t(n). Solve -2*d - d - m = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkukuxwtkkxkuuutuk. What is prob of picking 1 k and 1 u?\nAnswer: 14\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7176 divided by 41984.\nAnswer: 897\/5248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 98*n**2*y + 580581*n**2 + 739*y**2 wrt y.\nAnswer: 98*n**2 + 1478*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 134527085*q**3 - q**2 - 3188152*q wrt q?\nAnswer: 807162510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 0.8, 0.3, -41\/2, -0.3 in descending order.\nAnswer: 0.8, 0.3, -0.3, -2\/3, -41\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.8 + -5. Let u = k - 0.3. Let w = -0.05 + 1.05. Which is the third biggest value? (a) w (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(228) - (sqrt(228) + (sqrt(228) + sqrt(228) + -3*sqrt(228))*-5)) + sqrt(228))*-1)\/(5*2*sqrt(12)*-3)*-3.\nAnswer: 2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -65754, -2, 5?\nAnswer: -65754","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 441 and 3777662?\nAnswer: 237992706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - (sqrt(77) - ((sqrt(77)*2 + sqrt(77) - sqrt(77)) + sqrt(77))))\/sqrt(11))**2 + (-2*sqrt(28) + sqrt(28))\/sqrt(4).\nAnswer: -sqrt(7) + 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 197094 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.35 + 0.8. Let i = 0.95 - q. Let u = -57 + 22. Sort 0.3, -0.1, u, i in ascending order.\nAnswer: u, i, -0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, 1\/13, -1\/2, -41, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (2 + (1 - 4)) - 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 10*b**2 - 21*b + 6. Let u be w(-7). Let v be -15*(-4*20\/24 + 3). Solve -h = v*h - u for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -3*a + 8, 5*a - 670*i = -685*i for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21786731609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -4. Let i be (o - (1 - 0))\/(-1 - 0). Is i\/(-3) - 119480\/(-30) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and -230741034192.\nAnswer: -230741034187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13974 by 6.\nAnswer: -2329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*b + 188 = 0, -b + 75 = 4*v - 97. What is the highest common divisor of v and 473?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-7)*a*a**(-2\/7))**(2\/3) assuming a is positive.\nAnswer: a**(122\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 225 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*d - 6. Suppose -4*j + d*r + 5776 = 0, 5*r - 1922 - 936 = -2*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 42*t + 3 + 27*t in the form r + z*t and give z.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -136*i + 131*i - 3*g, 2*g = -10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 217, 729, 1603, 2833, 4413?\n\"Answer: -p**3 + 187*p**2 - 42*p + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2773 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 1. Let i(x) = -x**2 - 2. Let l(f) = -2*d(f) + i(f). Let o(s) = 21*s**2 + 1. Determine o(l(a)).\nAnswer: 21*a**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 456 - 372. Let l = -114 - -41. Let f = b + l. Solve -3*n + 4*h = 2*h + f, -n - 1 = 2*h for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10, -0.04, 0.4, 1\/2, 4, 27.4, 9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 90\/25 - (1 + 2). What is the closest to -0.3 in -4, l, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + ((-1)\/1 - -23). Let j = -7 + u. Let p(c) = 3*c. Let n be p(7). What is the highest common factor of n and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1.8, 10, -5, 4, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -1bb0109?\nAnswer: -1bb0106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 114?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6\/8027 - 810799\/96324. Find the common denominator of (-426)\/224 - (-6)\/(-21) and s.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/(30\/45).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-131*l - 54*l + 12*l)*((-2 + 0 - 1)*(-5 + 6 - 6) + (-1 + 4 - 1)*(-2 - 2 + 3) + 6 - 2 - 1) in the form y*l + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 325 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1)*p\/(p**(-7)\/p)*p)\/(p\/p**1)**(-3\/25)*(p*p*p**(-2\/13)\/p*p*p**(-5))**(7\/2) assuming p is positive.\nAnswer: p**(-53\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccxcekeax. What is prob of picking 1 e and 1 k?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 5*j - 45, r - 28 = -2*j + 4*r. Let d = j - -5. Calculate the remainder when d is divided by (-6)\/(1 + 1)*-3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 2*r - 3 - 2*r)*(5 - 4 + 1)*(0 + 1 + 4).\nAnswer: -10*r - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -2\/7 (b) 1\/5 (c) -1.6 (d) -304 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (596\/9 - 1) + 30\/(-135). Suppose 0 = -12*q + 182 + 118. Suppose -5*a + q = 0, -d + 2*a + 24 = -5. What is the highest common factor of h and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -31, -32, -33?\n\"Answer: -r - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 601487 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11312430301 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 10:56 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 221*z + 65. Let c(k) = -10*k - 3. Let x be 8 - (-147)\/(-14) - ((-2700)\/(-8))\/(-5). Give x*c(q) + 3*l(q).\nAnswer: 13*q","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26552 is divided by 4415.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -158 (base 13) to base 14.\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0639064404 rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 32 = 3. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 4:18 AM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15986837?\nAnswer: 211, 75767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 93, 396, 1011, 2040, 3585, 5748?\n\"Answer: 17*b**3 + 54*b**2 + 22*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4379 - 4368. Solve 0 = -c*a - 103 + 15 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(((-16)\/20)\/4). Suppose 11*j - 36 = f*j. Let x = j - -3. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 71071 and 143?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 304.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -8. Suppose 0*z - 4*z + 8 = d. Find the second derivative of 21*q**2 - 11*q - 11*q**z - 39*q**2 wrt q.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 370777?\nAnswer: 11, 37, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(1100)*-2 + 4 - (sqrt(1100) + 3 + sqrt(1100) + sqrt(1100) + -5 - sqrt(1100)))*-1.\nAnswer: -7 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21abb3 (base 13) in base 4?\nAnswer: 3002013302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.89 and -6?\nAnswer: -5.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l**(13\/3)\/l)*l*l*l**0*l**(-8\/7)*l*l\/(l\/(l\/((l\/(l\/(l*l\/l**(-2\/5)*l)*l))\/l))) assuming l is positive.\nAnswer: l**(-92\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {h: 5, p: 8}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.986192 millennia to decades.\nAnswer: 798.6192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*b + 226889 = 77*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n, 0*g - 8 = 2*g + 4*n. Let w be g\/(-12) + (-8)\/(-3). Solve -23 = w*s - o - 3*o, s + 9 = 2*o for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13431745 and 5.\nAnswer: -67158725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -52850.96 times 0.4?\nAnswer: -21140.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*r + 118 - 8*r**3 - 16*r + 8*r - 121 - r**2 - r**3 in the form q*r**2 + d + i*r + y*r**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of y**6\/120 - y**5\/12 + y**4\/3 - y**3\/2 - y**2. Suppose 3*l = 8*l - 25. Is n(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-28) - (-8)\/(-14). What is the closest to -0.1 in 1, a, 1\/8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -7401884?\nAnswer: 1\/7401884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 - ((-5)\/(-5) - 84). Let w(t) = -t**2 - 9*t + 192. Let l be w(-18). What is the greatest common factor of l and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 41\/2 of a millisecond?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5666947?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of q**5\/30 + q**4\/12 - 2*q**3 - 2*q**2. Is 24 a factor of c(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.112 - -0.622. Let l = j - 0.01. Which is the nearest to -0.2? (a) 2\/7 (b) -2\/7 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -13\/6, -3, 3\/8, -1\/5, 5 in increasing order.\nAnswer: -3, -13\/6, -0.4, -1\/5, 3\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12614 is divided by 52.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 71, 140, 235?\nAnswer: 356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {w: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, t: 1, x: 1}. What is prob of picking 2 n?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-72)\/(-189)*27\/36. Sort -5, 10, -1, k in descending order.\nAnswer: 10, k, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-5)*10\/4. Suppose -8 - 7 = -c*m. Let x(z) = -z**3 + 6*z**2 - 6*z + 5. Let r be x(m). Solve -4*w + 5*w - 4 = r for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -19*f**2 + 3*f - 3. Let x be a(3). Round x to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1697 (base 13) in base 7?\nAnswer: 12503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21020, 42041, 63062, 84083, 105104?\nAnswer: 126125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -190 at least as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 304 - 306. Let v(j) = j**2 + 4*j + 8. Let p be v(o). Solve -2*x = 4*k - 2, 0 = p*x - 5*k + 22 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 32\/5 of a centimeter?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/(-16)*-4*1. Let x(t) = 3*t**3 + 14*t**2 + 34*t + 37. Let z(a) = 2*a**3 + 9*a**2 + 23*a + 25. Let h(f) = r*x(f) + 7*z(f). Is h(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 207 + -114. Let v = j - 283\/3. Which is the closest to -2\/3? (a) v (b) -1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -10394*h - 5747892. Give k(-553).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -111422144 + -3?\nAnswer: -111422202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 3 - 4)*(5*u**2 - 5*u**2 + 5*u**2) + 10*u - 10*u + u**2 + (-u + 0*u + 2*u)*(3*u + 0*u - u).\nAnswer: 43*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/64812 and -107\/9120816?\nAnswer: 100328976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*j, -2*a + 4 = 5*j - 5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4581 and 0.00256?\nAnswer: 11.72736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 134 - 3*c**2 - 32 + 0*c**2 - c**3. Does 7 divide z(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y - 2. Let l(a) = a - 1. Let m(p) = 4*l(p) - 2*x(p). Let i(w) = -2*w**2 - 12*w. Let h(b) = b. Let c(j) = 12*h(j) + i(j). Determine c(m(s)).\nAnswer: -32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 - 76*a - 2158320.\nAnswer: 2*(a - 1058)*(a + 1020)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 7*k - 1. Let f = -389 - -385. Let t(h) = 6*h - 1. Give f*m(q) + 5*t(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-100)\/(-480)*(765\/(-200))\/(-17)*(-10)\/15\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -3*m - 0*m. Let b = 24 - m. Suppose 3*z = -2*v - b, -1 = -5*v - z - 4. What is the biggest value in 0.4, v, -2\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + 20, 381*d - 388*d + 4*m - 100 = 0 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/3 - 53*b\/3 + 52\/3.\nAnswer: (b - 52)*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -s + 20, -r - 5*s - 56 = -4*r. Suppose 9 = 3*o - 2*m, -4*m - r = -4*o - 9*m. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5928899 to the power of 1\/2, to the nearest integer?\nAnswer: 2435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w - 24*w**3 + 561*w**3 - 121*w**3.\nAnswer: 416*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 2 = -3*z. Is (-1 + z)*(26 + 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 1 - 1 - o. Let x(k) = -2*k**2 - 9*k + k**2 + 6*k + 3. Let i(m) = 3*u(m) - x(m). Determine i(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -471*z**2 - 421*z**2 - 1814*z**2 + 141*z**2 - 464*z**2.\nAnswer: -3029*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 89*t - 975. Let j be a(11). Suppose 0*p - p = -3*z, z + 13 = -4*p. Let m be 4 + (2 - 1) + z. Solve 6*b + m*u = j*b - 14, u = -2*b - 8 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2*sqrt(425))**2 + -5 + ((-1 + sqrt(425))*-2 - sqrt(425)) + (sqrt(2448) + -1 + 2)*3.\nAnswer: 21*sqrt(17) + 1702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1024105510 (base 6) to base 7.\nAnswer: -161036526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 678 and 1269884169.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30961, 30889, 30777, 30631, 30457, 30261, 30049, 29827?\nAnswer: 29601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 + 4 - (-29 + -1).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwwwwwwwwwwww. What is prob of sequence zw?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7078, 28765, 64908, 115507, 180562, 260073?\n\"Answer: 7228*j**2 + 3*j - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-436)\/(-545))\/(((-76)\/(-10))\/1).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 + 41. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -3. Let r = 1085 + -359. Suppose -4*t - m*h + r = 202, 4*t = 4*h + 488. Is 21 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.7 - -0.7. Sort 5\/7, 2, p in ascending order.\nAnswer: p, 5\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {m: 3, z: 4, t: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23101 and 23569?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1141 and 815.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (30 - 57) + -1 + 1 + 14.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 4*d - 5*n + 49, -d + n + 25 = 0. What is the remainder when d is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -17. Let z be (-12)\/(-18)*(-9)\/(-60). Which is smaller: z or d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 take away -167939.43?\nAnswer: 167940.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29191 = -4*g + 29223 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 266346019 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h + 5*h**2 + h - 4*h**2 - 3. Calculate g(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -17 and -24598891.\nAnswer: -24598908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 476 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -6*c**2 - 225*c - 1776. Determine l(-26).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-912 - 33)*-2*(-2)\/(-6). Suppose y*l + 6503 = 637*l. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9.01 and 147053040503?\nAnswer: 147053040493.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 84 = -8*f. Let g(o) = 21*o**3 - o**2. Let k be g(1). Let i = k - -1. Calculate the remainder when i is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2377, 9545, 21717, 39079, 61817, 90117?\n\"Answer: 31*w**3 + 2316*w**2 + 3*w + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18134163, -2\/7, -1, 1 in increasing order.\nAnswer: -18134163, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*p + 618 - 44. Calculate the least common multiple of 3 and (-1 - p - 0) + 7.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 37773761.\nAnswer: 5\/37773761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 - 260*z - 2049. Give c(-8).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -4\/5 (c) 329\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 481436 (base 9) to base 2.\nAnswer: 1000110101111101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 y when three letters picked without replacement from {z: 1, y: 5, q: 2, s: 4, i: 2}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**0*w*(w\/((w\/(w*w**(-4\/3)\/w*w))\/w))\/w*(w\/(w\/(w\/(w*(w**0*w*w)\/w*w))))**(15\/8)*((w*w**(3\/7))\/(w**(-2\/13)*w))**(-30) assuming w is positive.\nAnswer: w**(-21355\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 38\/78 + (0 - 4\/26). Which is the closest to -0.1? (a) j (b) 0.5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*l**2 + 177 with respect to l.\nAnswer: 44*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*r + 1 + 34. Solve 5*w - r*v + 13 = -17, 2*v - 27 = 5*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**2 - 82572*m - 82576 = 0. What is m?\nAnswer: -1, 20644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 - 61. Suppose 0 = -b - w*b - 240. Let g = 106 + b. Does 23 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 0.3, -3, -0.1009?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1085829.292 to the nearest 10.\nAnswer: -1085830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8178712 + -5821712. Round a to the nearest one hundred thousand.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21.0623 + -0.0377. Let j = 21.201 + n. What is j rounded to 2 decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2 - (-3 - -2)) + (225 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.2292 to one dp.\nAnswer: 12.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3532 - 3502. Calculate the greatest common factor of v and 990.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) -6 (b) -2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -0.5, 5, 0, 2203\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 7:41 AM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, c: 5, l: 9}. Give prob of picking 3 c and 1 z.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48.044 + -48. Let h = u + 0.006. Which is the third smallest value? (a) -3 (b) -4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-77)\/(-30) - (-690)\/1150?\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1.292 times -205.1\nAnswer: 264.9892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 4 = -24. Suppose -3 = -v, h*r = -r - 4*v + 292. Suppose -3*a + r = 5*a. Does 2 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 7*g - 186. Suppose a - 5 = -3. Calculate the remainder when h(27) is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 433605?\nAnswer: 3, 5, 137, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 7790*j - 15548. Give v(2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -13210?\nAnswer: 13201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 221?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*j - 37*j + 2*j)*(4 - 2 - 11)*(-j + 3*j - 4*j) - 20*j**2 - 11*j**2 + 0*j**2 to the form c*j**2 + p*j + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 176 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/8 (b) -4 (c) 0.5 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + 52. Suppose -3*i + 22 + n = -4*z, -4*i + 16 = 4*z. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 395624 + 18?\nAnswer: 39563c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 4*g**2\/7 + 48*g + 1008 = 0.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5284 or -5282?\nAnswer: -5284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/2 - (-8)\/4. Suppose -15*y = -j*y - 39. Solve -6*u - 6 = -y*u, -3*h + 4*u = -8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -277 and -4.\nAnswer: 1108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 9:24 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/4*(-120)\/30. Let n be ((-3)\/2)\/(4 - 75\/12). Let z = 1.06 + 0.14. Sort -5, n, z, g.\nAnswer: -5, n, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1391 + -32?\nAnswer: -13c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 5 - 3 + 42 + 69 + 144 + (3 - 6 + 4)*(-2 + 1 - 1))*(0*y**3 - y**3 + 3*y**3) to the form v + z*y**2 + j*y + s*y**3 and give s.\nAnswer: 508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)*-1*1 + sqrt(22))\/(-1*sqrt(98)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4\/79 + -288\/553. What is the closest to -0.1 in 2, -0.3, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zffz when four letters picked without replacement from {f: 2, z: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 3512.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1797, -1793, -1787, -1779, -1769, -1757, -1743?\n\"Answer: x**2 + x - 1799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 2:03 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 4*t + 10 = 7*f, -4*f = t + 20. Sort -3, f, 3 in ascending order.\nAnswer: f, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ana. Give prob of sequence nna.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 912459272?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50096368*p**5 + 70618913*p**2?\nAnswer: -3005782080*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 286 + 0*m**3 + m**3 - 2*m**2 + m - 284 in the form w + h*m**2 + p*m + o*m**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -1\/2*m**3 - 11\/2*m**2 - 2 - 6*m + 1\/2*m**5 + 3\/2*m**4 = 0?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -67.58 + 67. Let j = 8 + -7.98. Let s = b - j. Round s to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**4 - 8*x - x + 6 + x**3 + 7*x**2 - 8*x + 17*x in the form q*x**3 + n*x**2 + k*x**4 + l*x + w and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-310*v - 10528*v**2 + 139*v + 171*v)*(-3*v**2 + 0*v**2 + v**2 - 2).\nAnswer: 21056*v**4 + 21056*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 55865972 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*r = -119*r + 132 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16406649 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: What is 114.501 rounded to zero decimal places?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -219 + 67?\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -1\/5 (b) 0.009 (c) -1\/7638\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z - 3*z**2 - 6 + 2*z + 4. Let m(k) = -k**3 - 7*k**2 - 8*k - 6. Let g be m(-6). Let x = 4 - g. Calculate r(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*1*10 + (37 - 34). Which is the second smallest value? (a) 2 (b) u (c) -4\/7 (d) -102 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1172 divide 168714088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 + 1. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.2 + -0.5. Let t = -1.3 - j. What is the closest to -1 in t, -0.1, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h + 37. What is m(5)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 5*p + 1. Let v(j) = j**2 - 6*j + 3. Let x be v(4). Let z be g(x). Let r = 13 - 27\/2. Which is the nearest to z? (a) r (b) 2\/13 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 80*s**3 - 38*s**3 + 108*s**3 + 70*s**2 + s - 10*s**3 wrt s.\nAnswer: 840","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 16\/1335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16 - -6?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 30713520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (4 + -4)) + -1 + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1 (b) 2\/15 (c) -0.1 (d) -3\/7 (e) 0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 940*o - 124. What is the units digit of w(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of 7*x**5\/60 + x**4 + 5*x**3\/6 - 21*x**2. Let h(w) = -w**2 - 1. Let t(l) = -a(l) + 3*h(l). Solve t(f) = 0.\nAnswer: -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5 - 2.5. Suppose 3*x = 20 - 2. Let m be (-2 + -2 + x)\/2. Which is the second smallest value? (a) m (b) 4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 906 = 2*y - 2*u, 2*y - 5*u - 1389 = -477. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -156457 or -156507?\nAnswer: -156507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 161.0333 litres?\nAnswer: 161033.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-16 - -4) - 3) + -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 3*t**2 - 12906*t - 77544 = 0.\nAnswer: -6, 4308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+-35850\nAnswer: -35850.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*h**3 - 166*h**3 - 6*h + 3*h + 3*h.\nAnswer: -30*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -919, -920, -909, -880, -827, -744, -625, -464?\n\"Answer: z**3 - 8*z - 912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**0*g*((g*(g\/((g\/g**(-1))\/g))\/g)\/g)\/g*g*g**(-5)*g\/((g\/g**(-4\/7))\/g)*(g**(-4\/7)\/g**(-2\/15))**(-50) assuming g is positive.\nAnswer: g**(55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 61 (b) 0 (c) -0.1 (d) 1\/5 (e) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4757 + -4093. Calculate the least common multiple of s and 48.\nAnswer: 3984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -3*h + 2*j, 0 = h - 2*h + 2*j - 8. Let g = h - -24. Let s = 16 - g. What is the smallest common multiple of 5 and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = k - 12. Let z(q) = -q**2 - 4*q - 3. Let i be z(k). Let f = i + 52. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1567, -2\/1711, -4?\nAnswer: -1567","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/168*(-6)\/(-7).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 31\/((-13888)\/(-144))*(-2)\/12*7\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eezmeoeewemvmeewwe. Give prob of picking 1 m, 1 w, and 1 e.\nAnswer: 27\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -488 + 487. Sort -4\/3, x, 4\/5 in ascending order.\nAnswer: -4\/3, x, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/9)\/(2*1\/(-3)). Which is the closest to n? (a) 3\/7 (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10841.996065 + -10842. Round k to four decimal places.\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3\/9298?\nAnswer: 3\/9298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 228263 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 12016?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96394 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 85*i + 148*i - 3885 - 6600 for i.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-20)*n**(-12)*n*n**(-16\/7)*n**(3\/13))**24 assuming n is positive.\nAnswer: n**(-72192\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*q - 585 = 75 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 3*t**2 - 2*t - 1. Suppose -5*y = -3*y - 20. Let w(u) = 2*u**3 - 7*u**2 - 5*u - 3. Determine y*x(m) - 4*w(m).\nAnswer: 2*m**3 - 2*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 - 45*f + 25. Let t be h(22). Which is the closest to -1? (a) t (b) 2\/3 (c) -4\/15 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3467.6 - -3468. Which is the nearest to -0.3? (a) -0.4 (b) g (c) 0.3 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t**2 + 7*t**2 - 212*t**3 + 1102*t**3.\nAnswer: 890*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09542778 rounded to four decimal places?\nAnswer: -0.0954","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.8 - 1.1. Let s = -0.05 - -0.35. Let b = g + s. Which is greater: b or -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 7*c**2 + 3*c + 5. Let j be m(-7). Let u be 0*(3 - 2) + j. Let d be u\/(-6)*66\/44. Solve -d*t = -0*t - 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 1 = -7. Let f(v) = -40*v**3 + 2*v**2 + 7*v + 8. Let k be f(c). Calculate the greatest common divisor of 23 and k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 143\/5 + -1357\/45. Let u = 2 - 3. Find the common denominator of f and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 0.88?\nAnswer: 0.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 49*b**3 + 4*b**2 - 4. Let v(h) = 745*h**3 + 539*h**2 - 539 - 22*h**3 + 1005*h**3 + 2009*h**3 + 2878*h**3. Calculate -539*m(a) + 4*v(a).\nAnswer: 49*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 139*q - 4*q + 49*q to s + h*q and give h.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 13*m + 9. Let g be b(-3). Let w = 33 + g. Solve c = -4*p - 21, w*p + 2*c - 6 = -28 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2962 is divided by 1265.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 7 + 13)*(-2 + 1 + 0)*(-2*w - 2*w + 2*w)*(7*w + 2*w - w)*(-1 + 1 + 8*w**2).\nAnswer: 3712*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11)\/4 - (-2)\/(-8). Let b be g\/((-9)\/4)*6. Factor b*h**3 - 3*h + 0*h**2 - 6*h**4 - 2*h**2 + 3*h.\nAnswer: -2*h**2*(h - 1)*(3*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 6) to base 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9418711 + 9418711 - 17*m**3 + 136*m**3.\nAnswer: 119*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 4*r + 5. Let k be l(4). Suppose -11*x = -k*x + 18. Sort 1\/3, 0.4, x in ascending order.\nAnswer: x, 1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4753 - 1.4753. Put w, -6.71, 2 in decreasing order.\nAnswer: 2, w, -6.71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 13700.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(4160\/24))\/(((-1)\/(-12))\/((-152)\/(-1368)))?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -896\/3 + 4\/3*s**2 - 8\/3*s.\nAnswer: 4*(s - 16)*(s + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 43 = -2*t + 3*t, -t - 28 = -2*g. What is the remainder when 39 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 + 36. Which is smaller: d or 0.23?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2 + 1726*g + 5. Let t(w) = 3*w**2 + 1728*w + 6. Give 6*f(n) - 5*t(n).\nAnswer: -3*n**2 + 1716*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 37822, 75705, 113588, 151471, 189354?\n\"Answer: 37883*t - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oooo when four letters picked without replacement from ooooooooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 21, 10.\nAnswer: -1, 10, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72, 93, 80, 27, -72, -223?\nAnswer: -432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/16 + (-85)\/(-14))*7. Suppose 10 = 5*o, -5*l - p - 25 = 2*o. Let m(u) = u**2 + 15*u + 6. Determine m(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 35, 61, 103, 167, 259, 385?\nAnswer: 551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27709919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 2*v + 17. Let o be t(6). Sort 1, 0, o in ascending order.\nAnswer: o, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**3\/2 - 58288*h**2 - 1748881*h\/2 + 932728 = 0.\nAnswer: -16, 1, 116591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 83*s - 417. What is u(78)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 9*j - 12*j - 411, 2*j - 4*a + 264 = 0. Let i = j - -516. Is i a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.05 + -4.95. Which is the closest to -1? (a) -0.2 (b) -1\/2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 44 = 2*b - 4*p, 4*p = -4*b + 52. Is ((-21)\/b)\/(3\/(-276) - 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7c8156 - -34?\nAnswer: -7c8122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 456281885 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 0 - 6)*120*133\/3990?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(10\/3)*i)**(-4\/5)*(i*i**(8\/3)*i*i)\/i**19 assuming i is positive.\nAnswer: i**(-196\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*d - 266 - 208, 0 = 2*d + 3*k + 475. Round d to the nearest 10.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.530193646 to two decimal places.\nAnswer: 2.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(3\/5))**(-1\/5)*(z\/(z\/(z\/(z*z**(-4)*z))*z)*z)\/z**4)**13 assuming z is positive.\nAnswer: z**(-364\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*(w\/w**(-25))\/w)\/(w*w*w\/(w*w**(2\/35))*w*w*w*w))\/((w*(w*((w*w**(-3\/16)\/w)\/w)\/w*w*w)\/w*w)\/w**8) assuming w is positive.\nAnswer: w**(15257\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 + -25. Is 5\/2*z\/(-40)*-9793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 5, 0*u + 32 = 2*u + 2*o. What is the remainder when 2\/(-1) + 0 + 63 is divided by u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 21 = -w, 8 = -0*x + 4*x - 3*w. Let q(n) = 3*n - 2*n - x*n. Let b(j) be the second derivative of -j**4\/6 - 6*j. Give q(b(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g - 1 - g**2 + 2*g**2 + 0. Let k(v) = 134*v + v**2 - 263*v + 132*v. Calculate -k(m) - z(m).\nAnswer: -2*m**2 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -7 + 12 + -10 + (10 - 12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*f + 323*f + 1532 + 980 = 0 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 607266.\nAnswer: 2, 3, 11, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -21*n**2 + 2455*n + 232. Let s be z(117). Let l(i) = -9*i + 1. Let y(u) = 17*u - 1. Let m(h) = 5*l(h) + 3*y(h). Give m(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n + 5*r - 70, -22*n + 57*r - 92 = 53*r for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16268 divided by 28.\nAnswer: -581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64858, 64860, 64862, 64864, 64866, 64868?\nAnswer: 64870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12 (b) -0.02 (c) 0 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 132, 339, 548, 747, 924, 1067, 1164?\nAnswer: 1203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1405.291 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 544*d - 1676*d - 486 + 489 as g + a*d and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**4 - 3*g**4 - g**4 + (21*g - 21*g - 11*g**3 + (4*g - 4*g + 2*g**2)*(g + g - g))*(17*g - 38 + 38).\nAnswer: -154*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**3\/3 + 2048*v**2\/3 + 1356*v - 2040 = 0. What is v?\nAnswer: -510, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5437\/5 + 1088. Let p = -0.84 - -0.44. Sort p, z, -4 in increasing order.\nAnswer: -4, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/u**(-1)*u*u)\/u)**41*(u**(4\/3)*u)\/(u**(-1\/2)\/u) assuming u is positive.\nAnswer: u**(1007\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (-57)\/(-11) + 4\/(-22). Let i be (-48)\/9 + (l - 0). Which is the second smallest value? (a) 3\/16 (b) i (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.7373 hours in minutes?\nAnswer: 5324.238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 4 - 4 - (1 - 9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1205, 2400, 3595?\n\"Answer: 1195*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 592, 3145, 7408, 13387, 21088?\nAnswer: 30517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296649?\nAnswer: 3, 10987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1643948?\nAnswer: 2, 23, 107, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 35 in 0, -0.1, -7, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/6)\/((-5)\/7545). Let v = z - -41747\/83. Let t = -87\/166 - v. Which is the nearest to t? (a) -0.3 (b) -2\/7 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47210000 rounded to the nearest one million?\nAnswer: -47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 2*l**2 + 3 + (56 - 13*l - 56)*(l + 1 - 1).\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.21*-29.9.\nAnswer: 66.079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-seven fifths of a litre?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10000 + -1102?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*u = -2*z + 38, -2*z = 2. Let f = u - 20. Solve 5*n + f - 15 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64849, 129636, 194365, 259042, 323673, 388264?\nAnswer: 452821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 15 = 5*h. Let z(w) = w**3 + 4*w**2 - 5*w + 5. What is z(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1274080 divided by 248\nAnswer: 159260\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55 - (5 - 7)) + (-21 - (25 + -45) - 1).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-145)\/(-120) + (-6)\/2 and 19\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.407922 and 1.\nAnswer: 0.407922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -140 - -445. Let c = -162 + o. List the prime factors of c.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 5*z - 40 = -5*m, -2*m + z + 10 = 0. Suppose m*y - 3*y = y. Let h = 0 - 0.3. Which is the third biggest value? (a) y (b) h (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16769*t - 16752*t + 2 + 3 - 5.\nAnswer: 17*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 + -23. Let f = 112391\/20 + -5616. What is the common denominator of ((-546)\/i)\/(44\/21) and f?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, j: 1, q: 2, e: 11}. Give prob of sequence oe.\nAnswer: 11\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5*p = 184. Calculate the remainder when 89 is divided by p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 657963\/6 - (-5 + ((-69)\/(-6) - 7)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1306 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4411065100 from -21.\nAnswer: -4411065121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1357 a factor of 41959494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, g: 3}. What is prob of sequence mmgm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**2 + 2*q**2 - q**2 - 6*q**2.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (-1)\/((-1)\/(-4)). Suppose 2 - 16 = -d*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -105 - -86. Let y = -69 - -103. Let b = y + i. Calculate the remainder when 74 is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2\/4 + 87727629*q\/4 + 131591457\/2.\nAnswer: -3*(q - 29242546)*(q + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-59168)\/(-80) + 3\/(-5).\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1112005*z**2 - 1622383*z?\nAnswer: 2224010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 188270568 a multiple of 830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 1 = 5*l, c = -4*c - 15 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/65 + 39\/60*4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1524*v**3 + 26 - 1525*v**3 + 0*v**2 - 2*v**2 to y + a*v**3 + g*v + q*v**2 and give y.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2401 - 21635\/9. Which is the third biggest value? (a) -5\/4 (b) 0 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31983 - 40.6.\nAnswer: 31942.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100, -775, -2604, -6163, -12028, -20775?\nAnswer: -32980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**2 - 3*q**2 + 0*q**2 + (-5*q**2 + q**2 + 3*q**2)*(1 + 0 + 0) + q**2 - 4*q**2 - 7*q**2 - 2*q + 4*q + 2*q**2 - 4*q.\nAnswer: -10*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.177 (b) 0.074 (c) 4 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -b49 (base 14) to base 6\nAnswer: -14141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1.3, -1.3, -1, -3, 105\/521?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -14 + 3 - (2 - 4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + o + 1)*(0 - 2 + 0)*(3*o + 26 - 12 - 16).\nAnswer: -6*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(5\/7)*(r**6*r)\/r)\/((r\/(((r\/((r\/(r**(1\/2)\/r))\/r))\/r)\/r))\/r)**23 assuming r is positive.\nAnswer: r**(-389\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 4, -137912 in descending order.\nAnswer: 4, 2, -1, -137912","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -0.1, 3, -52?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*q - 6631 = -6785 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 6*h - 9*h. Suppose 40 = r - h*r. Calculate the remainder when 13 is divided by 8*(3 - r\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3260 + 3259.97953. Round p to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of y**6\/60 - y**5\/15 + y**4\/12 - 17*y**2\/2 - 17. Let w(l) be the second derivative of s(l). Solve w(p) = 0 for p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*v - 2*v - 5*v)*(-2 + 4 + 9)*(0*v - v + 3*v) in the form h + k*v + o*v**2 and give o.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/42 - ((-4488)\/77)\/12. Put -10, -3, -6, l, -4 in increasing order.\nAnswer: -10, -6, -4, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4*m = -2*f - 10, -3*f + 2*m + 17 = 0. Suppose -5*y = -2*q - 29500, -2*y + 12264 = f*q + 464. Round y to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 117751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(19)*2)**2 + sqrt(152)\/(sqrt(64)\/sqrt(8)))*-2 + 4.\nAnswer: -150 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9514 + 1d?\nAnswer: 9531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 12*g**2 - 2*g. What is l(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136, -903, -2192, -4003, -6336, -9191, -12568?\nAnswer: -16467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 14 = 6*m, -4*g - 8 - 6 = 3*m for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0110844435 to 4 dps.\nAnswer: 0.0111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by (-80 - -84) + 0 + -1 + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 1\/2 (c) -0.75 (d) 2\/33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20232065 and 14145?\nAnswer: 60696195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aw when two letters picked without replacement from fqazqaaooqqqw.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -5*j**3 - 5*j**2 + 7*j - 3. Let q be s(3). Let p = -145 - -247. Let z = p - q. What is the greatest common divisor of 33 and z?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(720))**2 - (sqrt(5) - (sqrt(245) + -1)).\nAnswer: -18*sqrt(5) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6995 a factor of 70186367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**2 - 62*n - 9. Let r be q(-19). Suppose 10*z + r - 2607 = 0. What is the highest common divisor of 8 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 346 + 880?\nAnswer: 1336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 + (0 + 2 - -1). Suppose -4*s + b*s = m, 4*m = 3*s. Suppose s = 3*j - 2*j - 263. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (48\/21 - 2)*(-1155)\/(-154). Let z be -1 + (-6)\/(-1) - 0. Let c = z - 4. Which is greater: c or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -223*l - 208. Calculate s(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i. Suppose -6*r + 18 + 36 = 0. Let t(y) = 14*y**2 + r*y**2 - 31*y**2. Determine t(b(h)).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -47, 22.\nAnswer: -47, -4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*r**3 + 17 + 40*r**3 + 161645*r**4 - 2*r**2 - 161643*r**4 + 3*r**2 in the form d*r**2 + i + y*r**4 + p*r**3 + b*r and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.2099 and -0.5?\nAnswer: -1.10495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x - 23*x + 51*x + 12*x.\nAnswer: 46*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*z - 89 = -495, 412 = f - 2*z. Let q = f - 392. What is the lowest common multiple of -1 + (0 + 1)*17 and q?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-6))\/(2\/402). Let l = -47 + v. Solve -p - k + l = -6*k, -2*p = 2*k - 4 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c*l**2 - 245947*c - 7747*l**3 - 30*l with respect to l.\nAnswer: 4*c*l - 23241*l**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, 1, 37, -65 in decreasing order.\nAnswer: 37, 34, 1, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 262\/5 - 53. Let s be (-15)\/30*(-18)\/27. Which is the third biggest value? (a) s (b) 3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -27*j + 426. Determine d(15).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) 0.2 (c) -1\/103 (d) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 5*c + 12 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -704 + 710 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*o + 42*o - 152. Let j be 33\/1 + 3 + -5. Suppose 3*f - 2*x = 21, 3*x = 5*f + x - j. Solve v + f = 0, -5*v - o = -u - v for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 10*x + 7. Suppose 2*d - 15 = -3*h, 4*d = -2*h + 8 + 2. What is the remainder when t(8) is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -7*x + 4. Let n be k(-8). Suppose -2*r + 354 = -n. Suppose 10*w + r = -343. Is -55 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 111 + -97. Suppose 3*y + 7*n - 5*n - o = 0, 3 = y - n. Let k = 1.048 + -0.048. What is the biggest value in k, -4, 2\/9, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 5*y - 11. Let g be f(-7). Suppose 11 - g = 4*l. Which is smaller: l or 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180833*c**2 + 90386*c**2 + 90459*c**2.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 308198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 f when two letters picked without replacement from xqxxqpf?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -r - 250, -p + 121 = -3*r + 43. Suppose 0 = 3*w - p + 18. List the prime factors of (w\/4)\/((-5)\/(-60)).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.105815 * -133.\nAnswer: 14.073395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 485377*i**5 + 2*i**4 + 4*i**3 - 17*i**2 - 26*i - 15969 wrt i?\nAnswer: 29122620*i**2 + 48*i + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 106698 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82, 164, 246, 328, 410, 492?\nAnswer: 574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 4*p + 5, p + 12 = -5*l + 28. Solve -l*k + 6 = 21 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 11*m**2 - 18*m - 1. Let n be w(9). Let j = 5 + 0. Sort n, j, 0.\nAnswer: n, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**2 + 13783*t + 13782 = 0.\nAnswer: -13782, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -59*z**2 - 2184*z - 33. Let l be q(-37). Factor -8\/9*r**l - 3*r + 1\/9*r**5 + 0 + 2*r**3 + 0*r**2.\nAnswer: r*(r - 3)**3*(r + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c**2 + c - 1. Suppose 4 = -3*k + 7*k. Let i be j(k). Let s(d) = -d**2 - 2*d + 1. Determine s(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42856178 by -1.\nAnswer: -42856178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/240090 and 41\/18?\nAnswer: 720270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 266593 a multiple of 235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 645757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -31727519416 plus -0.2?\nAnswer: -31727519416.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f**2 + f. Let u be t(-1). Let p be 2275503\/((-6)\/(-2)) - u. Suppose -6*o + 50498 - p = 0. What is o rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 2, -0.02, 7, 5\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1795 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: What are the prime factors of 61106039?\nAnswer: 61106039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 2\/7, 5, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 807122 and 61766.\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 - 33.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 332*l**2 - 982*l**2 + 328*l**2 + 325*l**2. Let w(c) = -1353*c**2. Determine v(w(b)).\nAnswer: 5491827*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-59927)\/1*-1 + 37\/((-407)\/66) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*c*m**3 + 5*c*m**2 + 2*c*m - 7*m wrt m?\nAnswer: 36*c*m + 10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 387?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/21 + (-4)\/(-14). Suppose t = 15*b - 5*b - 1470. Suppose 5*i - 1085 = -3*a, -5*i = -2*a - 1257 + b. What is the highest common factor of i and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 4*d = 6. Suppose d*r - 6 = 0, -b + 6*b + 2*r - 1124 = 0. Suppose -82*p = -86*p + b. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 6. Let o(j) = j**2 + j. Let f(p) = p**2. Let c(b) = w*f(b) + o(b). Find the second derivative of c(d) wrt d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -536, -1078, -1634, -2210, -2812, -3446, -4118?\nAnswer: -4834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -5 - (1 - -1 - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1332, 5323, 11974, 21285, 33256, 47887, 65178?\nAnswer: 85129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**3 + 345*v**2 - 2018*v - 5424 = 0.\nAnswer: -2, 8, 339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.03171 + -1.96829. What is the third smallest value in -1\/6, 2\/3, -8, 1, r?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*a - 657*a + 87*a - 25 + 23 as l*a + y and give l.\nAnswer: -563","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*w + 18 = 0, 2*w = -5*h - 3*w. Suppose -l + 6*c - c + 1 = 0, -c + 51 = h*l. Is 16 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -0*i + 1128. Let d = -21288 + 21296. What is the greatest common divisor of d and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.24? (a) -3 (b) 26\/9 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -5, 0.3, 8 in descending order.\nAnswer: 8, 0.3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of r**6\/120 - r**3 - 3*r**2 - 3. Let s(h) be the second derivative of d(h). Determine s(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = d - 15, d - l - 16 = 2*l. Let f = -28 - -16. What is the remainder when 37 - (f\/4 - -4) is divided by d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m - 3 - m**2 + 8*m + 5*m. Let r be n(9). What is the units digit of (-1 + r\/6)*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -118\/13 bigger than 378\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71146 is divided by 790?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -648326820 divided by 143340?\nAnswer: -4523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**2 + 261 - 259 + 2*j**2 + 11*j**4 - j to w + y*j**4 + a*j**3 + t*j**2 + f*j and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1066*w + 135*w**3 - 1054*w + 66*w**3 - 199*w**3.\nAnswer: 2*w**3 + 12*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -157*t + 159*t. Solve -2*x + x + 5 = t for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/9 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 13*p = -22*p - 1360. Put p, 8, 1, -5 in decreasing order.\nAnswer: 8, 1, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 501 + -500. Is -338 >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 13\/10240?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -404.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 3*c + 172, 2*z - 7*z - 3*c = -212. Suppose w = -3*w + z. Let f = 12 - w. Solve 0 = 3*b - 5*v - 0*v - 34, -4*b = -f*v - 22 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 85719447?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**2 + 4*p**2 + 18 - 7. Let v(x) = x**2 + 6. Suppose -1 = -3*l + 59. Suppose c - 6*c + l = 0. Determine c*m(w) - 7*v(w).\nAnswer: w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13927*s**2 + 2092*s?\nAnswer: 27854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*g - 10*g + 15*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -209.9 and -0.6.\nAnswer: -210.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-306)\/1326*160\/(-120)*(-2)\/(-4)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010101001010110 - 1100111100?\nAnswer: -11010110110010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 0. Let o be 7 + -2 + (1 - 1). Let k = h + o. Is k a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 7*p - 3*p + 4*p**2 - 5*p**2 + 16 + 0*p**2. Let j be d(6). Let n be (-3)\/(-12) + 33\/(-36). Which is the closest to n? (a) 3 (b) j (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.05 + 6.05. Let f = q + -6.2. Let r = -17 - -17. What is the second smallest value in f, 1\/6, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1*4\/3)\/(14\/1974). Let k = 269 - h. Suppose 4*p = 3 + 33. What is the highest common divisor of p and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 9) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -57, -82, -107, -132?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y + 6*y - 15*y - 7*y - 4*y - 10*y + 25*y.\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/(-4))\/(((-9)\/(-12))\/(-3)). Let u(i) = i**2 - 5*i + 4. Let o be u(h). Suppose -2*m = 5*p - 132, o*m + p - 264 = -3*p. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 0*h**3 - 24 + h**3 - 2*h**3 in the form q + s*h**3 + m*h**2 + r*h and give q.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/261 - -1030\/1827. Suppose 0 = -2*k + 4 - 2. Let u be -2*k*(-1)\/5. Which is the third biggest value? (a) u (b) l (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.03 or -68214\/7?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**(4\/3)))\/x*x**3)**26 assuming x is positive.\nAnswer: x**(260\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 11*r**2 + 2*r. Let w(y) = -44*y**2 - 9*y. Let i(l) = 9*c(l) + 2*w(l). Let j(z) = 3*z. Calculate i(j(h)).\nAnswer: 99*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1004 - 113 = 3*v. Suppose v + 180 = 3*n. Calculate the remainder when n is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*s**5*v + 23*s**4*v + 2*s**2 + 56*s + v wrt s?\nAnswer: 100*s**3*v + 276*s**2*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 125 = -10. Suppose -310 = -26*b + 184. Solve 0 = v - 4*c - b, -4*v - 5*c = -2*v + u for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -l**5\/30 + l**4\/2 - l**3\/3 - 8. Let f(j) be the third derivative of p(j). Is f(-3) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 14. Suppose 5*c = -5*k + 4 + 11, -2*k = b. Let r = 5 + -1. Is c <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-83 + 83 - 5*w)*(-2*w - 2 + 2) + w**2 - 2*w**2 - w**2 as j*w**2 + r*w + g and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 5) to base 2.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10.3 and 0.044.\nAnswer: 0.4532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x**2 + x + 1. Suppose -v = 4*t - 11, 2*t = t + 3. Let w be m(v). Find the second derivative of 0*o**4 + o**w + 3*o + 0 + 0 wrt o.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 68.1389\nAnswer: -340.6945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-5))\/((-10)\/(-4) - 2)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-9)\/(-12))\/(1\/28). Let t be 49\/(-14) - 2*(-1)\/4. Let s = t + b. Does 14 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.11, 4, -4\/55, 3, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 21*c - 26. Let g(l) = -7*l + 9. Let x(t) = 11*g(t) + 4*p(t). Let u(y) = -24*y + 18. Give 5*u(h) + 18*x(h).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2947181128 to the nearest integer?\nAnswer: 1434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35597936?\nAnswer: 2, 11, 223, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -16128, -16130, -16134, -16140, -16148, -16158, -16170?\n\"Answer: -z**2 + z - 16128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p**3 + 9*p**2 - 3858*p + 15435. Give m(4).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-980)\/168)\/(60\/(-6)))\/((-105)\/45)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 432928930.\nAnswer: 2, 5, 7, 89, 69491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -552.9636 rounded to the nearest 10?\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*f + 5*c, -5*c - 32 = -32*f + 29*f. Suppose r + r = 4*z + f, -3*r - 5*z = -17. Solve -2*g = -m + 1, m = -r*g - 9 - 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*81\/(-36)*(-56)\/1365*-5?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 2*w - 8, 2*a + 3*a - 5*w - 20 = 0. Solve 2*x - 10 = 0, a = 5*r + 4*x + 4 - 29 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, w: 15}. Give prob of sequence wuuw.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, r: 4, p: 2}. Give prob of sequence pvrr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 4*k**2 + k - 1. Let i be 2 + 2 + -2 - -2. Let m be h(i). Suppose -556*p + 599*p = 215. Solve -g + 19 = -m*a, -p*g = 2*a - 5*a - 35 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 8*m**2 + 7*m - 9. Let w be y(6). Let s = 4175\/13 - w. Which is the closest to 0.1? (a) 0.5 (b) 0.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*0.2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 164152 to the power of 1\/2, to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - q + 12 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p + 26. Let f be v(11). Solve f = -a + 4*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 4. Suppose -x + 3 = -u. Suppose x*s + s = 0. Solve -4*g + 7*g + 12 = s, 0 = 5*q - 5*g - 25 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 193 + -141. Suppose c = 3*n + w, 20 = n - 0*w - w. What is the greatest common factor of n and 306?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/42074 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -29*t**5\/20 - t**2 + 4*t. Differentiate i(w) wrt w.\nAnswer: -87*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -500*a - a**2 - 20*a**3 + 500*a as w*a**3 + d*a + c*a**2 + f and give w.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 b when three letters picked without replacement from mbbammayamy?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 3*f**2 + f)*(-15*f + 15*f + 7*f**2) - f**4 - 3*f**4 + 3*f**4 + (3*f**3 - 3*f**3 + f**3)*(-2*f - f + 2*f).\nAnswer: 19*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3*s - 15 = 0, -3*l = -l - s - 7. Suppose -16 = -3*d + l*d + u, -48 = -2*d - 2*u. What is the units digit of 16\/1*(d + -12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a tonne in kilograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7b186 - 2?\nAnswer: 7b184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-11\/4))**(-21) assuming f is positive.\nAnswer: f**(231\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-9)\/6*1\/(1\/(-58))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 0. Suppose -4*x + 44 = p*z, z = 2 - 6. Suppose 0 = -3*u + 4*k + 7, -x = -2*u - 3*k + 19. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97196 is divided by 71?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2524499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a millennium in centuries?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1617)*1*-4)\/(5*-2*sqrt(3) + -1*((sqrt(3) - sqrt(27)) + sqrt(3))))**2.\nAnswer: 8624\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -266, -579, -896, -1217, -1542?\nAnswer: -1871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 54*g**2 + 21*g + 5. Let z be u(-4). Suppose -o - 86 = -z. Suppose 3*s - 8*s - 2*x = -o, -s + 2*x + 135 = 0. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/((((-38)\/20)\/(-1))\/(1638\/(-8190)))?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3001387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**2. Let x = 406 - 406. Let l(c) = x*c + 17*c - 24*c + 26*c. Determine l(o(g)).\nAnswer: -57*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3015.7 - -3016.1. What is the closest to 22\/3 in j, 5, -0.4, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 160.99 - 231. Let k = -350 - -280. Let n = m - k. Which is the closest to -1? (a) 0.5 (b) -1\/4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190641.\nAnswer: 3, 11, 53, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -105 + 217. Let z = 11737 + -11699. What is the remainder when c is divided by z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 17*k. Let f be m(-1). Let v = -12 - f. Is 2 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25707 + -6573. Does 99 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/141 and -23\/8178.\nAnswer: 8178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9671 - 8916. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -693, -1327, -1961, -2595, -3229, -3863?\n\"Answer: -634*t - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m**4 + 5*m**3 + 7*m**3 - 3*m - 1 - 17*m**3 - 2*m + 3*m in the form q + z*m**4 + o*m + t*m**3 + d*m**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1548 = -12*q - 1284. Suppose s + 4*j + 31 = 10, 0 = 3*s - 5*j - q. Let u = 5 + -1. What is the nearest to s in u, -1\/4, 5\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/8 and 2\/90*(-873)\/6.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 3, 3\/5, 0.1, -16, 2\/13?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -186 - 4.2279\nAnswer: -190.2279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-21))\/(6\/18)*5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2240640639 to four dps.\nAnswer: 0.2241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000003274 to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -137315 >= -137259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - i**2 + 4. Let p be j(0). Suppose 2*t + 5*w - 4 = 9, -4*w = p*t - 32. List the prime factors of ((-8)\/24)\/((-1)\/t).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 651102 and -0.3.\nAnswer: 651101.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -402*h**4 - 12*h**3 + 49590*h**2?\nAnswer: -9648*h - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (10\/(-5) - (-6 - -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -296 = -4*j + 2*j. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 16145822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 2*v = -i - 31, 0 = -i - 2*v + 17. What is the smallest value in -4, -49\/6, -2\/5, i?\nAnswer: -49\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76072.49 kilograms in tonnes?\nAnswer: 76.07249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7, 3, -0.4 in descending order.\nAnswer: 3, -0.4, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 r when two letters picked without replacement from {k: 2, r: 6}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8 or -12?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -56*p**3 + 3*p**2 - 3*p - 3. Let z(n) = -113*n**3 + 7*n**2 - 7*n - 7. Let a be ((-464)\/(-32) + -14)*-1*14. Give a*b(w) + 3*z(w).\nAnswer: 53*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-2) + 25\/(-23).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 130, 292, 516, 802?\nAnswer: 1150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a + 24. Let f be j(11). Suppose 92 = -f*c + 46. Let p = c - -22. Which is bigger: p or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1544*j - 107*j**4 - 334*j**4 + 897*j + 1210*j**4 + 698*j**4 wrt j.\nAnswer: 17604*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 39\/24 - 2 - (-54)\/16. Let h be ((-14)\/(-6))\/(1\/3). Let q = h - s. Sort 1, q, -0.05 in ascending order.\nAnswer: -0.05, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 - 16*d**2 + 16*d**2)*(3403*d - 7163*d + 3303*d).\nAnswer: 914*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.6920229 micrograms in nanograms?\nAnswer: 692.0229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.250696563 rounded to 1 decimal place?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 111413402 (base 5) to base 13\nAnswer: 14587c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 282*r - 75*r + 2502*r as p + m*r and give m.\nAnswer: 2709","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + 1 + sqrt(7) + -5).\nAnswer: -36 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/18 + (4 - 4). Let m(b) be the second derivative of 0 + b**2 - 2*b + s*b**3. What is the derivative of m(x) wrt x?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*n + 17 = 0, -3*n + 57 = 3*l - 39. Suppose -3*r - 78 = -l*r. Solve 0 = 3*g + 3*s + s + r, 5*s = 2*g - 21 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 231 and 11814?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*d = 6, 13 = -0*w + 2*w - 3*d. Let l = 4 - 2. Solve 4 = l*j + w for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 32831\/(-30) - 1\/(-5). Let h = -1085 - d. What is the common denominator of h and -107\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 214\/23 - 5747\/368. Find the common denominator of 137\/336 and s.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(1482\/(-513)))\/(-81)\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*h + 182*h + 326 + 1002 = 0 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32282, -129143, -290578, -516587, -807170, -1162327, -1582058?\nAnswer: -2066363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100000001110001000010001 (base 2) to base 9.\nAnswer: -16803348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7012392041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 4 - 74*v + 75*v.\nAnswer: v - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*n**3 - 3*n**2 + 21*n**3 - 20*n + 25*n**3 to the form j*n + c*n**3 + r*n**2 + i and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 13*k + 80. Let j(h) = -5*h - 26. What is 8*j(z) + 3*y(z)?\nAnswer: -z + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 0 - 2 = 0. Let p be (((-1)\/g)\/1)\/2. Sort p, -0.2, -3 in decreasing order.\nAnswer: p, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5083, -11162, -17241?\n\"Answer: -6079*v + 996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b - 9 = -31. Suppose 0 = -4*o + 5*z - 2, -3*o + 16 = b*z + 3*z. Let x = 25 - 21. Solve -o*s - x = 2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 81*f - 14 - 19 + 33 in the form r + d*f and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -27, -5\/4, -265?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 322495 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1206a - -19e?\nAnswer: -11dbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 50 = -6*k. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*c - 56147 - 13785 = 6676. Solve d + c = 2743 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6701092*j*l**2*t**2 - 259*l**2*t**2 + 3295*l**2*t + 2*l**2 + t**2 with respect to j.\nAnswer: 6701092*l**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 77*p - 2661. Let z be v(35). Solve -z*w = -22*w - 36 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of 0 + 0*b**2 - 4*b + 0*b**6 + 0*b**7 + 0*b**3 - 1\/8*b**8 + 0*b**5 - 5\/12*b**4. Find the third derivative of d(w) wrt w.\nAnswer: -840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210120203202 (base 4) in base 6?\nAnswer: 540232150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344394 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*a - 10712 = 23*a. What is the remainder when 920 is divided by a?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(84) - (sqrt(84)*-1 - sqrt(84)))\/sqrt(12) - sqrt(63)\/(1*sqrt(9)))**2.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 - 144 + 1028*o - 38 - 1208*o.\nAnswer: 2*(o - 91)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.702 millilitres?\nAnswer: 0.007702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0156 and -0.1.\nAnswer: 0.00156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.6, 12, 3\/4, 4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -0*o - o + 193, -x = -o + 187. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52975\/6 - 8806. Calculate the common denominator of 73\/78 and s.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 13*x**4\/2 + 4*x**3\/3 + 2*x**2 - 4*x - 1288. Let g(k) = 27*k**3 + 5*k**2 + 5*k - 5. What is 4*g(j) - 5*h(j)?\nAnswer: -22*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(1\/10)*z))\/z*z*z**(-2\/7)\/z)**45 assuming z is positive.\nAnswer: z**(-873\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -9*d + 13. Suppose 5*a - 6 = -d. Let u be a - (-5)\/15*3. Solve 0 = -u*p + 5 - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -11375, 6, -18, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17150836 is divided by 1559166?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -789250 to the nearest 10000.\nAnswer: -790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.073183 * -4\nAnswer: 0.292732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 7*l**2 - 8*l - 57. Let m be w(-7). What is the third biggest value in 5, -0.4, 0.1, 2\/111, m?\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 60 = 4*w. Calculate the greatest common factor of w and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-10)\/(i\/i**(-2\/33))*i**(-8)*i*i**9)**(1\/22) assuming i is positive.\nAnswer: i**(-299\/726)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*x + 1085 = 0, -4*n + 2*x + 645 + 229 = 0. Which is smaller: n or 223?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 9415429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 3*j - 12, 8 = 5*p + 2*j - 0*j. Suppose 7*g = -p*g + 714. What are the prime factors of g?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of z**4\/4 + 2*z**3 - 2*z**2 + 6*z + 4. Let j be s(-7). List the prime factors of j\/20 + (-71)\/(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.239 rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3682495 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16528, 16488, 16448, 16408, 16368?\nAnswer: 16328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 5*y**2 + 2*y - 2. Let v be n(-5). Let h = -21 - v. Calculate the remainder when 57 is divided by 19 + (3\/h)\/(2\/12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-405)\/414)\/(-15))\/(5*120\/(-2800)).\nAnswer: -7\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -4*z**4 - 5836*z**3 + 386364*z**2 + 4018124*z - 416900152 = 0?\nAnswer: -1522, -31, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 149 = -215. Let a be g\/(-6) - (-16)\/(-24). Put -16, -4, a, 1 in ascending order.\nAnswer: -16, -4, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 201438284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0031883 to 5 decimal places.\nAnswer: 0.00319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 56.67859 hours?\nAnswer: 204042924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2875 take away 131431.314?\nAnswer: -131429.0265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - d + 1. Let h be q(2). Let l = -45 + 63. Calculate the remainder when l is divided by 1*12 + h + 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2 + 69*v - 160. Let x be s(32). Let u be (-5)\/(10\/12) + 2. Let g = -397\/6 + 66. Which is the biggest value? (a) u (b) g (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-2\/3))**34*p*p**(-2\/17)*p*p*p*p*p*(p\/((p*p\/(p*p\/p**(-19)))\/p))\/p*p)**50 assuming p is positive.\nAnswer: p**(97450\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 m when two letters picked without replacement from {l: 1, d: 1, c: 1, o: 3, m: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 472034604?\nAnswer: 2, 3, 37, 307, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -75302 - -122565. List the prime factors of p.\nAnswer: 151, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -936*y - 1102*y - 2231*y - 192105 = 0 for y.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 715\/(-130) + (-2)\/4 + 2133?\nAnswer: 3, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42348 is divided by 234?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.35627ms to nanoseconds.\nAnswer: 69356270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3404291 or 3404293?\nAnswer: 3404291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*c = 63*c - 5*b + 1, 5*c + 2*b - 36 = -12*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 3. Suppose -4*h + 3*y - 52 = -y, -3*y = 3*h + 45. Let c = k - h. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131698.\nAnswer: 2, 7, 23, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10773, 11758, 13407, 15720, 18697?\nAnswer: 22338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*v**3 + 0*v**3 + 6*v**3)*(-48 - 188 + 8) to b*v**3 + i*v + u*v**2 + m and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 132477\/7 + (-12)\/105*(-20)\/(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 4:45 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmcs when four letters picked without replacement from {m: 2, h: 2, c: 3, s: 3, w: 1, d: 4}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*o - 163*o = -109*o + 1440 for o.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence trkk when four letters picked without replacement from {n: 1, t: 2, r: 1, k: 9}?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/12 and (165\/(-750))\/(3\/(-4)).\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 6*n + 1. List the prime factors of (2\/(-4)*0 - 9)*n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5300022 (base 6) to base 10.\nAnswer: -256622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -9661*h + 115957. What is m(12)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -214, -839, -1876, -3319, -5162, -7399, -10024?\nAnswer: -13031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2975 - 2971. Solve 2*r - 3*l - v = 0, -2*r = 5*l - 0 + 12 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -70\/3 + 23. Let k = 69.165 + -68.765. What is the nearest to -2 in -0.5, k, -2\/57, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*g = 7, -2*g = -6*g + 16. Suppose -2*s - 2*t + 20 = 0, n*t - 20 + 70 = 5*s. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-66)\/44)\/((-3)\/(-6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2921803 to the power of 1\/3, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38.051 + -0.051. Let u = -37.73 + w. Let j = -0.17 + u. Which is the nearest to j? (a) -1\/6 (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.022723 to three dps.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -7*b + 6*b + 2*b - 5. Let r be v(13). Let j be 6\/(-24) - (-18)\/r. Solve 4*q = j*c - 0 + 24, 4*q = 5*c + 30 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 377*y**4 - 375*y**4 + 4*y**2 - 2 + 2*y**3 - 2*y**2 in the form a + r*y**3 + g*y**4 + c*y + u*y**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezezzezzzzeez. What is prob of sequence zz?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 9) + -1 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 4*c = -0*c + 7 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1c2795 (base 13) to base 10\nAnswer: -719724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -55*p + 44. Let u(b) = -b + 6. Give 6*u(q) - z(q).\nAnswer: 49*q - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.8 and 1224516.2.\nAnswer: 1224517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -22\/53 (b) -0.1 (c) -1 (d) 0 (e) -4 (f) -5 (g) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1579231795 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 2*y + 10. Let d be 1 - 7 - 8\/4. Let w be f(d). Find the common denominator of (-4 + 3)\/(14\/w) and -15\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1986190\/(-496506) + (8\/(-1))\/(-2). Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 10*l**3 - 1. Let c(f) be the second derivative of -f**5\/20 + 2*f. Let u(d) = 2*a(d) + 18*c(d). What is the first derivative of u(g) wrt g?\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(228)*-1 + sqrt(228) + sqrt(228)) - 5*1*sqrt(228))\/((sqrt(12) - (sqrt(12) - 2*sqrt(12)))*-4 - sqrt(60)\/sqrt(45)).\nAnswer: 6*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46\/627 - -1\/57. Let t = 9.51 - 9.5. Let d be 6\/24 - (-11)\/4. What is the third biggest value in d, o, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - 0.3. Suppose -3*z + 0*z = 18. Let k be (z\/15)\/(21\/15). Which is the smallest value? (a) 0.1 (b) k (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58457054726430+-4\nAnswer: -58457054726434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1046548379 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + 1.3. Let x = -3 - -2.7. Let t = -1.998 - 0.002. Which is the closest to r? (a) 0.4 (b) x (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 17\/14 - (-36)\/126. Let s(q) be the second derivative of 0*q**4 + 0*q**3 - c*q**2 - q + 1\/20*q**5 + 0. Find the first derivative of s(j) wrt j.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b. Suppose -8 = -u - a, 4*u + a + 2*a - 28 = 0. Suppose u = g + g. Let i(d) = -d + d**g + d. What is n(i(r))?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19577643\/130 + -150598. Let x = 9\/26 + d. Let a = 2.2 + -2. Sort a, x, -3\/8.\nAnswer: x, -3\/8, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0 (b) 18 (c) -2\/5 (d) -0.1 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 66*s - 66*s - 7*s**3 + 4*s**2 in the form w + t*s**2 + v*s + d*s**3 and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 + (-296 - -130 - -147).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - -23) + 1 + 7 + -27 + -91?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 72070 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-17)*z)\/(z\/z**0) assuming z is positive.\nAnswer: z**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/2 - 207*j**2\/2 + 417*j\/2 - 209\/2.\nAnswer: -(j - 1)**2*(j + 209)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1674*i**4 - 938*i wrt i.\nAnswer: 20088*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7736 + -2472. What are the prime factors of r?\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 7*p**2 - 5*p - 5. Let k be m(6). Let a(j) = j - 1. Let w be a(-4). Sort w, k, -3.\nAnswer: w, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 592.00000067 + -592. Round d to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 623206567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113783470 is divided by 1175?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -42147, -42149, -42153, -42159, -42167, -42177?\n\"Answer: -j**2 + j - 42147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17882 - 0.\nAnswer: 17882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36229\/13 - -2787. Suppose 0*s**2 + 0 + t*s**4 + 6\/13*s**3 - 8\/13*s = 0. Calculate s.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5504 + 82290 - 892 = -973*j. Let b = -1.1 - -1. Is j bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002123039 to seven decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -37*c*q - 895*c - 4*q**2 - 2*q wrt q?\nAnswer: -37*c - 8*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(102) - (sqrt(102)*3 + sqrt(102))*-2 - (sqrt(102) - sqrt(102)*-1)*5)\/((-2*sqrt(36))\/sqrt(6) - sqrt(150)*-4).\nAnswer: sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -320*j**3*r**2 - 8862*j**2*r + 3*j**2 + 301*j*r**2 - 2*j - 4*r**2 + 58*r + 1 wrt j.\nAnswer: -1920*j*r**2 - 17724*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 764 + 639 = -5*l, -4*j + 98 = 3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38115.\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10d + -980c?\nAnswer: -96dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 259664295 to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 25*q - 46. Give f(20).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 7*l - 1. Let o be g(2). Suppose 10*r + 24 = 5*y + o*r, 5*y = 4*r + 36. Solve -y - 7 = 2*a - 3*v, -7 = 2*a + v for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -27*m + 341. What is r(12)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -9215 + -1539532.3773\nAnswer: -1548747.3773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23013313002 (base 4) to base 13.\nAnswer: 7b1218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2*1)\/(2\/14). Let b be ((-260)\/39)\/(-4 - (-96)\/27). Is a at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2782?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 d, and 1 x when three letters picked without replacement from {q: 5, x: 1, d: 3, h: 3}.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 4*c**2 + 2*c + 3. Let h(k) = -k**3 - 3*k**2 - k - 2. Let q(g) = 5*h(g) + 4*y(g). Let o be q(-2). Differentiate -1 + o - 4*m + 2 + 3 wrt m.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k - 103. Let u(z) = 6*z + 154. Let m(w) = 8*g(w) + 5*u(w). Let j(x) = -x**2. Give m(j(q)).\nAnswer: 2*q**2 - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -144058496 divided by 3\nAnswer: -144058496\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*r + 59*r - 22*r.\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -4 - (-3 - (2 + -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 6:26 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17 + -1603137?\nAnswer: -1603120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 8:28 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d - 1. Let i be c(6). Let x be 16 + i\/((-20)\/(-12)). Solve 4*j - l = x, 0 = -3*j - 2*l + l + 16 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 805579.3 weeks to minutes.\nAnswer: 8120239344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -80255566 > -80255561?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-30))\/(1*14\/(-35)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12263119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0677275 to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -39*i**4 - 5*i**3\/3 + 5306*i**2 - 2324. What is the second derivative of y(a) wrt a?\nAnswer: -936*a - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -4 - 13) + 7 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a week in minutes?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -527*j - 567*j - 565*j + 1658*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 705 divide 66982050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/20*-2*(-35)\/(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 91266842093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = 4*c - 6, -9*c = -5*c + 3*u - 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**3 - 2*q - 1. What is c(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24288 is divided by 139?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 - 130007200*h.\nAnswer: 5*h*(h - 26001440)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**3\/9 - 10*i**2 - 58*i\/3 - 86\/9 = 0 for i.\nAnswer: -43, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by 1.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(208) - (sqrt(208) + -3)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*x + 104 wrt x.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-6)*-27*(-2)\/72\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -19. Let q be u\/(((-1)\/2)\/1). Let o(t) = 3*t + 2. Let w(z) = -1 - 1 - 1 - 4*z. Determine q*w(m) + 3*o(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 62*y - 11 + 135*y**2 - 25 - 4*y**3 - 8*y**3 + 14*y + 35*y.\nAnswer: -3*(y - 12)*(y + 1)*(4*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 243448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 6:08 PM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 346 - 340. Calculate the highest common divisor of l and 978.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, h: 11}. Give prob of sequence hhh.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fmf when three letters picked without replacement from {m: 1, f: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 16 = 4*p, 0 = -3*p - 3*i + 5*i + 7. Suppose -m - 8 = 2*h, 4 = -p*m - h - 0. Is m smaller than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uoououououuuouuooo. Give prob of sequence oou.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 118, 23, 7334 in descending order.\nAnswer: 7334, 118, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/40 of a minute?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + 2)*((-25)\/(-10) + -2). Find t, given that -9 - 12150*t**c - 46875*t**4 + 58125*t**3 - 15 + 904*t - 17*t + 37*t = 0.\nAnswer: 2\/25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(40) + -4*sqrt(40)*-1)\/sqrt(8) + (2*sqrt(880))\/sqrt(11)*4)**2.\nAnswer: 222*sqrt(5) + 6854","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 3008, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1086*l - 506*l - 37880 + 180 = 0 for l.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*m + 141 - 20 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 33771, 67566, 101361, 135156?\n\"Answer: 33795*x - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 708*s**3 - 11*s**2 + 12*s + 1. Let i be y(1). Let z = i - 708. Let w be (-2)\/6 + (-4)\/(-12). Solve 2*t + z + w = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*c + 13 = 1637. Suppose 0 = -8*a - 42 + c. Solve a*j = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -199 or 5.33?\nAnswer: -199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*j - 96 + 6 = 0, 2*x = -4*j + 56. Let n be x\/110 - (-6 - (-320)\/55). Which is the third biggest value? (a) 5 (b) n (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**2 - 2. Let u be j(3). Let v be (7 + -4)\/((-3)\/(-41)). Let p = v - u. What is the lowest common multiple of 2 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -1. Let h = -2075 + 2077. Which is the closest to h? (a) v (b) -1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -107.4 - -106.9. Put -0.4, -2.81, r, -3 in increasing order.\nAnswer: -3, -2.81, r, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*p - 5*p - 25, 0 = 2*z + 2*p + 14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -203424 - 4?\nAnswer: -203431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, 2\/5, 2\/73, -0.7, -33, -13.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**2\/5 + 2898*m\/5 - 85724\/5 = 0. Calculate m.\nAnswer: -1478, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47 and 423?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -4*p + 4*y + 2, 0 = -4*p + 4*y + 20. Suppose -4*d + 25 = -31. Suppose -p - d = -4*h. What is the remainder when 18 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**2 - 2*g**3 + 76832 + 7*g**2 + 2661016.\nAnswer: -2*g**3 + 3*g**2 + 2737848","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -891\/4402?\nAnswer: -891\/4402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/596, -55\/4, 335, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 8*k**2 - 13*k. Let v(l) = -l**2 + l - 1. Let p be (12\/(-4))\/((-1)\/2). Let h(a) = 2*a**2 + 6. Let s(b) = p*v(b) + h(b). Calculate -6*j(f) - 13*s(f).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 - 14. Suppose -18*r - 203 + 1877 = 0. Calculate the remainder when r is divided by o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 + -18. Let c = u - 16. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q**2 + 134*q + 354. What is j(36)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -133, 3011, 8253, 15593?\n\"Answer: 1049*z**2 - 3*z - 1179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l - 2. Let c be q(1). What is the units digit of c\/8 + (-14082)\/(-24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 558*b + 45753. Determine n(-82).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 109*d - 3339. Give f(134).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -17 + 32 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17756129.\nAnswer: 17756129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113, 121, 129, 137?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*t = 0, 4*c = -5*t + 8*t + 18. Let y be (-4)\/10 + 3\/(-5). Let d(z) = 2*z + 17. Let l be d(-12). Sort l, y, c in decreasing order.\nAnswer: c, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of 599*u**5\/15 + 7*u**4\/2 - u**3\/6 - 2738*u**2. What is the second derivative of s(o) wrt o?\nAnswer: 4792","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 810 + -809. Solve 3*g + 11 = -3*v - n, 0 = -2*v - 3*g - 7 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 7*m**2 - 3*m + 8. Let f(j) = -3*j**2 + 2*j - 4. Let w(c) = -5*f(c) - 2*y(c). Let s = -5 + 10. Suppose s - 25 = -5*g. Give w(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 14*j - 108. Let l be o(20). Suppose -628 = -4*z - 4*t, -l*z - 481 = -15*z - t. What is the remainder when z is divided by 56?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 o when three letters picked without replacement from {c: 1, u: 3, o: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -556 - 4*d - 15*d + 17*d to f + q*d and give f.\nAnswer: -556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*i**6*t - 11*i**4*t**2 - 6*i**3 - 107*i**2*t**2 - 4*t**2 wrt i.\nAnswer: 720*i**3*t - 264*i*t**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -794.73 to the nearest 10.\nAnswer: -790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 153 (base 15) to base 2\nAnswer: 100101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 13*p + 38 = -2*b, -5 = p + 2*b for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*b**2*l*t**2 - b**2*t**2 - b**2*t*x + 21*b**2*x - 10*b*l*t**2*x - b*t**2*x wrt l.\nAnswer: 8*b**2*t**2 - 10*b*t**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 15*m - 2. Let g be (-1 + -11)\/(-4)*-1. Let p be g*2\/(-4)*6. Is k(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148589556 to the power of 1\/2, to the nearest integer?\nAnswer: 12190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 112.22839724 - 114.378404. Let a = 2.15 + f. Round a to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhjhjhhhhhjhhhjjh. What is prob of sequence hjj?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -4*v**2 - 4*v + 16 - 12*v**4 - 113*v**3 - 118*v**3 + 16*v + 199*v**3 + 2*v**5 + 18*v = 0.\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27468, 27468, 27484, 27522, 27588?\nAnswer: 27688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 + -19. Is r a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**3\/2 - 3*o**2\/2 + 10*o. Let s(k) = -2*k + 2. Let j(w) = 3*r(w) + 4*s(w). Let x(d) = -7*d + 5. What is 5*j(u) + x(u)?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**2\/21 + 991504*s\/21 + 4957570\/21 = 0 for s.\nAnswer: -5, 495757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 1883 (c) -3\/23 (d) 3\/5 (e) 1\/5 (f) -5\/3 (g) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -h**6\/120 + 2*h**5\/15 + 3*h**4\/8 - 19*h**3\/6 - 15*h**2. What are the prime factors of p(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/10 of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (81*n**2 - 36*n**2 - 35*n**2 - 2*n)*(-147*n**2 + 16*n - 16*n) as h + f*n**3 + y*n**2 + k*n + s*n**4 and give f.\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 12*t**2 + 30*t + 47. Let f be u(-9). Solve 5*h = -2*m - 17, -h - 5*m - f = 4*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8875 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 20*b**2 - 75*b + 2. Let w(g) = 2*g**3 - 46*g**2 - 45*g - 57. Let o be w(24). Let k be f(o). Factor -39\/2*a**k - 3\/2*a**4 - 9*a**3 - 18*a - 6.\nAnswer: -3*(a + 1)**2*(a + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from taatvyttatottttjtta. Give prob of sequence avoj.\nAnswer: 1\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11843779?\nAnswer: 11843779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 201780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 202552 at least as big as 202553?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004584128093 rounded to 6 decimal places?\nAnswer: 0.000458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 8*z**3 + 7*z**2 + 16*z + 2. Let u(l) = -3*l**3 - 2*l**2 - 5*l - 1. Let m(w) = 11*u(w) + 4*x(w). Give m(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 106 and -151203.\nAnswer: -16027518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75193*l**3 - 3350*l**3 + 86247*l**3 + 9276*l**3.\nAnswer: 167366*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-112 - -114)*(-15)\/(-6). Solve 0 = t*v + 3*m + 12, -5*v - 4 = 2*m - m for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1\/3))\/n*(n\/n**(13\/3))\/n assuming n is positive.\nAnswer: n**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 - -1629. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2031 + 2031.000001734. What is q rounded to seven decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (102\/(-9) - 0)*(-3)\/(-2). Let k(g) = 10*g**3 - 18*g + 2 + 16*g**2 + 1 - 9*g**3. Let x be k(l). Solve -4*i + 2*i = 3*j + x, 3*i + 16 = -j for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53 + -584\/11. Suppose -5*b + 4 = -5*i - 11, -5*b = 3*i + 9. Let j = -3 - i. Which is smaller: p or j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jdpg when four letters picked without replacement from {g: 1, p: 1, d: 1, q: 1, j: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73 + -71. Suppose -2*l + 589 = 2*s - 13, 3*s = c*l - 582. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 80 = w. Suppose w = -3*g - 0*b + 5*b, 0 = -4*g + 4*b - 8. Suppose -14 = -g*z + z. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9893740?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2)**7*u\/(u*(u\/(u*u\/(u*(u**13*u)\/u*u)*u))\/u)*u*u*u*u**(3\/11) assuming u is positive.\nAnswer: u**(58\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 66. Let n = j + 25. Is -1 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 24573?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*k**3 - 17*k**3 - 46*k**3 - 2*k + 14*k**3.\nAnswer: -71*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1640 divided by -2?\nAnswer: -820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4*j - 6665 = 0, -n + 2235 = 11*j - 13*j. What is the thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8844*i**2*j**4 - 173*i**2 + 10*i*j**4 + i - 21 with respect to j.\nAnswer: -35376*i**2*j**3 + 40*i*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 9) to base 12.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 55 = -5*d, 2*p - 30*d + 27*d + 7 = 0 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -1687b5?\nAnswer: -1687b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - ((-2)\/(-6))\/1. Let d = 281 + -277. Which is the nearest to -0.2? (a) w (b) 5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t - 1 + 1)*(4 + 1 - 2) + (-4*t + 0*t + 2*t)*(0 + 1 + 0 + (3 + 1 - 6)*(3 - 3 - 2) + 0 - 1 + 2 + 2 - 4 + 4 - 1 - 3 + 2).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12946015 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*g = 14, 4*i + 3 = g + 4. Let j = i + 14. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -41*f**4*v + 3*f**3*v**2 - 57*v**2 wrt f?\nAnswer: -164*f**3*v + 9*f**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/4900 and 31\/49.\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59 - -66. Suppose a*q - 51 = 26. Suppose q*j = 8*j + 42. Calculate the remainder when 111 is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 571\/10 + -57. Let h(s) be the second derivative of -j*s**5 + 0*s**2 - 5*s + 0*s**4 + 1\/2*s**3 + 0. What is the second derivative of h(v) wrt v?\nAnswer: -12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -9 + 2. Let y = -8 + w. Let t be (-39)\/y - (-18)\/(-30). Solve 0*p - t*p = 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, q: 2, c: 2, l: 5, h: 2, b: 5}. Give prob of sequence lbc.\nAnswer: 25\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 694941 is divided by 694938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**7*p**(1\/4))\/(p*p**(-1\/9)*p**(1\/12)) assuming p is positive.\nAnswer: p**(113\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*((-27)\/45 - (-2)\/5)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7781899, -13, 1 in decreasing order.\nAnswer: 7781899, 1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 4, -3\/23, 2.49?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 5, 26, 67, 134, 233, 370, 551?\nAnswer: 782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 16, 0 = -k + 2*k + 2*m - 67. What is the remainder when 1543 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -2*c + 16, 0 = 4*k + 49*c - 48*c + 10 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 3:59 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30086 and 1050.\nAnswer: 2256450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 6840.\nAnswer: -1\/6840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/2)\/((-4)\/(-112)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -559\/1515 - -18\/505. Which is the fourth biggest value? (a) 2\/5 (b) v (c) -7 (d) -4\/5 (e) 36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -113*q**2\/2 - 1213. Let h(x) = -8*x**2 - 4. Determine v(h(c)).\nAnswer: 904*c**2 + 452","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43*w**3 + 64*w wrt w?\nAnswer: 258*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**3 + 0*s + 0*s + (-s + 5*s - 2*s)*(-3*s**2 - s**2 + 0*s**2) + (0*s**3 - s**3 + 2*s**3)*(-2 + 1 + 3) + 2 + 2*s**3 - 2.\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8817 * 1.58899.\nAnswer: -14010.12483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -661303100 rounded to the nearest one hundred thousand?\nAnswer: -661300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.33 + 6.33. Which is the smallest value? (a) 2\/3 (b) 0.091 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q - 13*h - 6*h = -23*h + 3, -3*q - 2 = 5*h - 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mccymoz. Give prob of picking 1 y, 1 m, and 1 o.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -845406, -1690753, -2536094, -3381429, -4226758, -5072081, -5917398?\n\"Answer: 3*k**2 - 845356*k - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4355907120 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8*(-15)\/(-200))\/(1*-3).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 1)*(3 - 3 - 10*a**2 + (3*a**2 + a**2 - 2*a**2)*(-1 - 2 + 5) + (11 - 11 + 2*a)*(-a - a + a)) as j*a**2 + l*a + h and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven quarters of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 516*n + 332*n**2 - 565*n - 331*n**2 as o*n + p*n**2 + i and give o.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 u, and 1 t when three letters picked without replacement from {t: 1, u: 7, n: 5}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = u + 1, 3*u - 9 = -11*z - 0*u + 5*u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9872?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -32, -99, -214, -389?\nAnswer: -636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*g - 50. What are the prime factors of ((-114)\/g)\/(32\/960)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -66 + 41. Let p = 21 + g. Suppose -u = -3*i + 2*i, -4*i = 4*u + 24. Put p, -5, i in increasing order.\nAnswer: -5, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -k + 83, 2*q + 9 = 5*q. What are the prime factors of k?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -61*c**4\/4 + c**3\/3 - 24*c + 3. What is the third derivative of u(r) wrt r?\nAnswer: -366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2350 - -2350.0004335. What is n rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 895458176 and 214.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -108652, -217118, -325594, -434080?\n\"Answer: -5*h**2 - 108451*h - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.35 + -0.05. Let d = -0.5 - -0.1. Let c = p - d. Put 3, -5, c in descending order.\nAnswer: 3, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from vvvnvvnnvnvvnv?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4286335 is divided by 67?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 124, -2\/5, -3, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -33 (b) -3\/5 (c) 0.2 (d) -1.0523\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142102 (base 6) to base 7.\nAnswer: -54104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*o - 27 = 0, -2*o + 49 - 19 = 2*r. Let i be ((-1376)\/12)\/((-4)\/r). What is the greatest common divisor of i and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 546, 57, -432?\nAnswer: -921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + k - 3 - 2*k + 0*k + 3*k + (4*k + k - 4*k)*(-4 + 2 + 4) + 2*k - 3*k + 2*k - 3*k - 19*k + 10*k - 9 + 9 + 11*k)*(56*k**2 + 18*k - 27*k + 9*k).\nAnswer: 224*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and 0.051.\nAnswer: -0.459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 6*k + 29. What are the prime factors of m(8)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5*k**3 - 3*k**2 - 4*k + 8. Let w(z) = -z + 0*z**3 + 371*z**2 - 372*z**2 - z**3. What is -u(g) + 4*w(g)?\nAnswer: g**3 - g**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**3 - 9*m**2 - 38*m + 21. Calculate b(-5).\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.19 (b) 25\/13 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 9*j**2. Let p be v(1). Suppose 3 + p = 3*m. Let z be m\/12 - (-2)\/(-6). Let i(w) = -w**2 + w - 2. Give i(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -151775\/33 + 13808\/3. Let j = -34\/11 + s. Let l = 2 + 3. What is the closest to j in l, -0.5, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.1 and -3\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 - 13960*b + 13955.\nAnswer: 5*(b - 2791)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4\/29 - -70\/87. Which is greater: 3 or i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(270) - sqrt(270)*-5 - sqrt(270) - sqrt(270)))\/(sqrt(160)*1 + sqrt(50)\/(sqrt(5) - 2*sqrt(5) - sqrt(5))).\nAnswer: -96*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -1 - (21 - (0 - -17)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + r + 4*r)*(6*r - 3*r + 0*r).\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4834 is divided by 156?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 + -46. Let i be -1*4\/12*-3 - -3. Sort u, -1, i, -3 in increasing order.\nAnswer: -3, -1, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 423029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101210212 + 20?\nAnswer: 101211002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + -11 - -2)\/((-3)\/(-7))*99066\/10507?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126) + sqrt(126)*-3*-1)*-3)\/(sqrt(2) + (2*sqrt(6))\/sqrt(3) + sqrt(1280)\/sqrt(10) + sqrt(2)).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 190*a**3 + 55*a**2. Let g be 55*((-4 - -7) + -4). Let x be ((-8)\/10)\/((-10)\/(-25)). Let t(n) = -7*n**3 - 2*n**2. What is g*t(v) + x*b(v)?\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, u: 1, z: 2, l: 1, w: 1, g: 1}. What is prob of sequence lw?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) + sqrt(95) + (sqrt(95) - -4*sqrt(95) - sqrt(95))*6 + (sqrt(95)*1*4 - sqrt(95)))\/(2*(sqrt(2205) - sqrt(2205)*1 - sqrt(45))).\nAnswer: -29*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 29*d - 363. Give j(13).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -d**6\/24 + 25*d**5\/3 - 1435*d**4\/24 - 970*d**3\/3 + 2339*d**2. Solve r(w) = 0 for w.\nAnswer: -1, 4, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*v - 8 = 16*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 9:25 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h + 37. Let f be a(-19). What is the common denominator of -29\/20 and 2190\/(-24)*f\/55?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 14. Let h(i) = -i**2 - 6*i + 3. Let b be h(w). What is the greatest common divisor of b and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 + 13. Let s be (-4)\/x*(-28)\/(-20). Find y such that s + 2\/5*y**2 + 4\/5*y = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 4*a - 63618, -4*p - 5*a + 69912 = -57306. What is the hundreds digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*x**4 + 541*x**3 - 400*x?\nAnswer: -24*x**2 + 3246*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of 3*o**6\/20 + 2*o**5\/15 + o**3 + 2*o**2 - 79*o. Let a(i) = -19*i**3 - 9*i**2 - 7. Determine 6*a(z) + 7*g(z).\nAnswer: 12*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203897 + 9005 - 38815 = 29*v. What is the thousands digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 1*(sqrt(7) - (sqrt(7) + 0)) + sqrt(7) - sqrt(7))**2 + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.7 - -14.7. What is the nearest to i in 0.1, -0.4, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1545, -3155, -4765, -6375, -7985, -9595?\nAnswer: -11205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11912731 by 1.\nAnswer: 11912731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 (base 6) in base 5?\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 3096561?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4758.2 - 4758. Let b = -0.3 + 0.5. What is the nearest to b in 18, k, 0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8989 (base 11) to base 8.\nAnswer: -27072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*a = 171*a + 935 + 217 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) 0.5 (b) 2\/13 (c) 0 (d) 1\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 5 - 7. Let w be (-7497)\/(-54) + 1\/h. Let b = 426 - w. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 804, 293, -1096, -3801, -8260?\n\"Answer: -73*b**3 - b**2 + 3*b + 875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*h**5*j**2 - h**5 + 162*h*j**2 - 2*j**2 wrt h.\nAnswer: 500*h**3*j**2 - 20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/8 - 5\/(-2). Let p(a) = -a**2 + 2*a + 12 + 0*a + 2*a. Let s be p(5). Solve 4*y - s = r for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010101111101110001 + -11101?\nAnswer: -100010101111110001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o + 9. Let r(g) be the third derivative of 7*g**5\/30 + 142*g**2 - 7*g. Determine b(r(w)).\nAnswer: -28*w**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 p when two letters picked without replacement from gpzzzztpppgzpgtq?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.62333ug to milligrams.\nAnswer: 0.05162333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t - 2*t + 7*t + 5*t - t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3488362 rounded to 3 dps?\nAnswer: 1.349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 607281 and 222?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 92328.5 - 91809.089. Let u = -520.610916 + l. Let b = -1.2 - u. Round b to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32793126623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -21*d**5 + 8*d + 5. Let u(y) = -11*y**5 + 4*y + 3. Let z(b) = 6*s(b) - 10*u(b). What is the second derivative of z(o) wrt o?\nAnswer: -320*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-37)\/(-333))\/((-4)\/(-12))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 88682 + (4\/(-10))\/((-194)\/(-485)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5 = 3, -28 = -3*s - 4*h. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 12:35 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 - 42*l**3 - 2*l**2 + 35*l**3 - 1 in the form a*l**3 + c*l + r + x*l**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of h**3\/3 - 8*h. Let w(c) = -3*c**2. What is o(w(r))?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260*a = 256*a + 652. Is a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of 0*o**5 + 0*o**4 + 0*o + 34*o**2 + 5\/6*o**3 + 0 + 7\/20*o**6. Differentiate u(d) with respect to d.\nAnswer: 126*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2040*a - 3915 + 3915)*(2*a - 2*a - a).\nAnswer: 2040*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -274555 (base 9) in base 6?\nAnswer: -3330552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v**2 + 3*v - 6. Let j(g) = -g**3 + 4*g**2 + 4*g - 5. Let y(n) = 2*j(n) - 3*r(n). Let h be y(-3). Suppose -61 - h = -3*a. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*j = 377*j - 41*j + 4290 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 - -27.7. Let s = 30.1 + -29. Let c = s + l. What is the second biggest value in 0.25, 4, c?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6 - 3)*(f + 0*f - 3*f) + 64*f + 7*f + 26*f.\nAnswer: 91*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3687149047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*f - 5, 5 = -2*i - 5*f. Let n = -13 - -12.93. Which is the closest to 0.1? (a) -0.5 (b) i (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -25*v**3 + 6*v**2 + 605*v. Let r(b) = 13*b**3 - b**2. Give g(o) + 2*r(o).\nAnswer: o**3 + 4*o**2 + 605*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than 382468578?\nAnswer: 382468573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -713446, -713436, -713426, -713416, -713406, -713396?\n\"Answer: 10*a - 713456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w + 6. What is the remainder when 31 - 17952\/(-693) - 4\/(-42) is divided by r(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 2*w - 301, w - 2 = 3. Let y = 10599 + -10455. Let d = y - r. Does 6 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 14. Let q be 46\/(-14) - v - 0. Let s = -36 + 33. Sort -0.3, s, q in decreasing order.\nAnswer: q, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/12853 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -475a - 0?\nAnswer: -475a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 148027692 and 148027690 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 460359?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/8*136\/12. Factor -6*j**4 + 12*j**3 + 20*j**2 + 4 + 14 - r*j - 25*j - 2*j**5.\nAnswer: -2*(j - 1)**3*(j + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(105)\/sqrt(5)*6 + (-2*sqrt(147))\/sqrt(7))\/(((sqrt(70)*-2 - sqrt(70))*-2)\/(-3*sqrt(160))))**2.\nAnswer: -32*sqrt(3) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 62 - 55. Let f = -38 + 35. Let g be 0\/(-2 + 8 + f). Solve g = -4*p + 19 - q for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 60 + 8*a**3 + 6*a - 7*a**3 + 25*a wrt a.\nAnswer: 3*a**2 + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xhsrsjs. What is prob of picking 2 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2408478691 to the power of 1\/3, to the nearest integer?\nAnswer: 1340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/5))**16*(y**(2\/5)\/y)**(-3))\/(((y**5\/y)\/y**(-2\/11))\/(y*y**2*y*y**(1\/10))) assuming y is positive.\nAnswer: y**(893\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 10. Let w be f(-8). Solve -m + 0*m = 2, 4*n = w*m - 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 2*c - 1. Let y be u(-2). Let i be (20\/15)\/(y\/(-48750)). Round i to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41536*b**4*d + 2*b**3*d**2 - 2*b**2 + 87*b*d**2 - 6*d**2 wrt b.\nAnswer: 996864*b*d + 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 10*l. Suppose -3 - 6 = r. Let k(w) = w**2 + 10*w + 9. Let b be k(r). Let c(u) = 2*u - 2 + b + 2. Give j(c(v)).\nAnswer: 20*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -37 and -596 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: a11 (base 12) to base 6\nAnswer: 10421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((k - 4*k + 2*k)*(3 - 2 + 1) - 5*k + 32*k - k)*(k**3 + 4 - 4 + k**3 + 2*k - 2*k + 2*k - k**3 - 2*k + (-2 - 2*k + 2)*(0*k**2 + 2*k**2 - 4*k**2)).\nAnswer: 120*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h - 2. Let x(y) = -1. Let j(i) = -i**3 - 35*i**2 - 38*i - 137. Let n be j(-34). Determine n*d(l) - 6*x(l).\nAnswer: -l + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3243537 (base 9) in base 8?\nAnswer: -6510753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 101310320 (base 4) to base 11\nAnswer: 4a949","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 13*p**2 - 2*p + 13. Let u be r(-13). Solve -9 = -6*q - u for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*((s*s**1)\/s)\/s*s)**(-45)*s**(-1)\/((s**10*s)\/s*s) assuming s is positive.\nAnswer: s**(-147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-9)\/48)\/((42\/(-4))\/(-7)). Suppose 5*o - 7 = 18. Suppose -o = -0*i - i. Put 4, k, i in descending order.\nAnswer: i, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i + 5*x - 34, 16 = 2*i - 10*x + 12*x for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 90\/120 + (-7)\/12. What is the closest to -0.1 in -2\/9, m, 3\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 2*g - 3443 + 3471, 3*g + 33 + 8 = 4*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5839\/11 + 531. What is the third smallest value in 1\/8, w, 2.1, 3\/5, -0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -2. Suppose -5 + q = -2*a. Let b(i) = 299 - 597 - 3*i + 4*i + 299. Determine b(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 216 = -5*a, 3*a = -5*z + 498 + 604. List the prime factors of z.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23146979 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: Let t = -296 - -443. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and -0.29852990122.\nAnswer: 0.20147009878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((6\/(-1))\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002010201 - -11020?\nAnswer: 1002021221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -7*i**4\/24 - 8*i**3\/3 - 21*i**2. Let d be q(-3). Suppose 5 = d*b + 5*v, -v = -0*v + 4. Solve 0 = 5*g - b for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -3*m + m - 241, 5*r = -2*m + 375. Let j be r\/2 - (-2)\/(-4). Suppose 3*f + 2*b = 62, 0 = 6*f - 4*f + 3*b - j. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of 0*x**4 + 7 + 0*x - 103\/120*x**6 - 32\/3*x**3 + 0*x**5 + 4*x**2. Differentiate d(a) with respect to a.\nAnswer: -309*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t = -11*t - 21. Suppose 0 = t*p - 10*p + 822. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 5*r - 45, 0 = 2*b - r - 2*r - 3. Let a(j) = 26*j - 40. Calculate the remainder when a(b) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -1, 41, 133, 293, 539, 889, 1361?\nAnswer: 1973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -7\/3*b**3 - 47\/2*b**2 - 2\/15*b**6 + 0 + 0*b**4 - 80*b + 0*b**5. Differentiate a(y) wrt y.\nAnswer: -16*y**3 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 6*c**2 + 7*c - 6. Let i(y) = -2*y - 10. Let h be i(-7). Suppose -4*r + 30 = 5*m, m - h = -2. Determine n(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 8*r + 3. Let q be v(-9). Let l = 4 + q. Let t(b) = 9*b**2 + 3*b. What are the prime factors of t(l)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5153.6 to the nearest 100.\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -261*h**2 - 164*h**2 - 27*h**2 + 96*h**2 + h**3.\nAnswer: h**3 - 356*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -n**4\/12 - n**3\/9 + n**2\/6 + 4*n + 2. Let l(y) be the first derivative of t(y). Solve l(a) = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10, 143, 536, 1321, 2630?\n\"Answer: 22*d**3 - 2*d**2 - 15*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 17. Suppose -3 = -3*i + 3*r, -4*r + 15 = -1. Let x(j) = j**3 + 0*j - 3*j**2 + j - 10 + 0*j + 0*j**3 - i*j**2. Calculate x(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/(-4)*8\/3. Let q be (0 + -20)\/((-4)\/a). Let d = 61 - q. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4098 - -0.4898. Put 0.2, -1\/2, x, 4\/3 in descending order.\nAnswer: 4\/3, 0.2, x, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 11*v**2 + 9*v - 5. Let q be m(-10). Let f(r) = 3*r - 9. Calculate the remainder when 15 is divided by f(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6252624, -12505263, -18757902, -25010541, -31263180?\n\"Answer: -6252639*c + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -8*m - 2. Let j(p) = -p + 1. Let z(i) = -2*j(i) - r(i). Let w(u) be the third derivative of -u**5\/60 + 27*u**2 + 13*u - 2. What is z(w(x))?\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003002 to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13970 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057)*-2 - sqrt(2057))*5 + sqrt(2057) + sqrt(2057))**2 + (sqrt(2057) - ((sqrt(2057) - (-1 + sqrt(2057))) + sqrt(2057))) + sqrt(2057) + -3.\nAnswer: 11*sqrt(17) + 347629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 11*g**3 - 5*g**2 + 8*g - 3. Let j(u) = -11*u**3 + 6*u**2 - 9*u + 4. Give 6*f(a) + 5*j(a).\nAnswer: 11*a**3 + 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and 53488.\nAnswer: -427904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 13*i - 61. Let k(d) be the second derivative of -7*d**3\/6 + 15*d**2 + 40*d. Let v(z) = 5*k(z) + 2*r(z). What is the first derivative of v(c) wrt c?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53143\/16 - -3320. Let r = -177 + 717\/4. Let v = r + i. Find the common denominator of v and 41\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -2, -61 in decreasing order.\nAnswer: 1, -2, -3, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m**3 - 2*m**2 + 29*m + 2. Let h(x) = -13*x**3 - 8*x**2 + 86*x + 7. Give -2*h(r) + 7*p(r).\nAnswer: -9*r**3 + 2*r**2 + 31*r","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 15 = -2*k. Suppose 4*j - 2*f = 30, -j - 3*f + 2*f = -3. Let m = j - -4. What is the least common multiple of k and m?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 110 = 3*c, 2*j - 4*c - 42 = c. Suppose l + 0*l = j. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/9)\/(-10)*-170*4\/(-20)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -95*b*j**2 - 268*b*j - 98232*b + j wrt j?\nAnswer: -190*b*j - 268*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/3 - 4*l\/3 + 30272\/3.\nAnswer: -(l - 172)*(l + 176)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -82 - -153. Let j = 86 - p. What is the greatest common factor of j and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 10:39 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 23926 + -51a?\nAnswer: 23408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*r - 150 + 45 = 0, 5*g = 3*r + 551. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37953.9 + 37954. Which is the closest to t? (a) 0.1 (b) 3 (c) 2 (d) -44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146252999 to the power of 1\/3, to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/(-54)*164*20. Suppose -4545 = 5*g + 5*z, -5*g - 1290 = -3*z + 3279. Let s = g - o. Is s at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/672 and -137\/16235904.\nAnswer: 113651328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((48\/(-42))\/(-8))\/((-1)\/(-7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -7. Let x be q\/4*-3 + 2. What is the smallest value in 5, x, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 13*v**2 - 14*v + 3. Let j be m(-14). Suppose -j*i = -7*i + 12. Suppose -5*p = 4*r - 11, r - 15 = -2*r + i*p. Solve 0 = r*x + x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 3, f: 17}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 d when two letters picked without replacement from isidnprn.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -25. Suppose 0 = -w*j - 3*j + 15. Suppose j*u = 4*u + m - 14195, -m = 5. What is u rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26\/74795 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -14. Let l be 26\/6 + r\/(-6). Solve l*c = -c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 840 and 14385.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 649 and 6633?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -94 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 129651, 259264, 388877, 518490?\n\"Answer: 129613*c + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*m + 100*m - 88*m + 390*m + (-1 + 1 - 1)*(-m + 0*m + 3*m) to the form f*m + q and give f.\nAnswer: 429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, b: 4, f: 2, x: 2, p: 2, m: 1}. What is prob of picking 2 b and 1 f?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94159, -93973, -93471, -92497, -90895, -88509, -85183, -80761?\nAnswer: -75087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**5\/30 - y**4\/24 + 5*y**2. Let l be v(-1). Let p(c) be the first derivative of c**2\/2 - c - 1. Give p(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 10*q**2 - 6*q - 2. Let t be n(9). Factor 20*m**2 + 3*m - 15 - 63*m**2 - 3*m**3 + 33*m**2 + t*m**2.\nAnswer: -3*(m - 5)*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**2\/2 - 3465384*o + 6004443133728 = 0 for o.\nAnswer: 3465384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -111 + (26 - 24 - -21).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h + 2*h + 21 - 8*h. Let v be d(0). What is the common denominator of -22\/5 and (-45)\/(-42)*v\/(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -644, -1227, -1820, -2423?\nAnswer: -3036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 142 + 52 = 0. Suppose -5*p + g = 5*j, j + 3*j + 55 = 3*p. List the prime factors of p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 2. Let y = 9 - a. Let f(j) = j**2 - 2*j - 5. Let s be f(y). Solve -2*n = n - s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ueuljejece. Give prob of sequence jje.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 4242544?\nAnswer: 4242541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5234014 and 1128.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 130805*i + 27690 wrt i?\nAnswer: 130805","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 2*g + 28, 8*g + 5*q + 5*q = 6*q - 16 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-40) - (-3346)\/(-20). Which is greater: -169 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v + 249*v**2 - 19608 + v + 19608.\nAnswer: 249*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001 (base 2) to base 6.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -268300*i**2*m**2*t**3 + 1508*i**2*m**2*t + 14*i*m**2*t**2 + 3*i*t**2 wrt t.\nAnswer: -1609800*i**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = o - 1, 2*l = 5*l. Let t = 3 + o. Let b(v) = -2*v + 48. Let f be b(22). Solve 0 = 3*j + t*q - 19, f*j = -4*q + 38 - 14 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -8) + 96 + -581 + 581 + 13.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -4*j**4 + 5*j - 28. Differentiate g(l) with respect to l.\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 9, m: 11}. What is prob of picking 1 m and 2 y?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 97814, 195639, 293464, 391289, 489114, 586939?\n\"Answer: 97825*d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 29 + 4*w**3 + 108*w + 26 + 54 + 36*w**2 - 1 = 0. What is w?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5943 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y - 68*y**2 + 179*y + 72*y**2 in the form p + a*y + x*y**2 and give a.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.5, 1, 0.4, 6.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 5*c - 3*l + 28, 199*c - 205*c + l - 34 + 8 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*t - 5*i = 35, t + 5*i = -25. Let v(w) = 10*w. Let d(r) = 9*r. Give t*v(k) + 6*d(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 238367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40700 and 4898800?\nAnswer: 53886800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 82*b - 1637. What is d(-48)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 11:13 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 338752512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -0.5, 3573.71, -5, -4 in ascending order.\nAnswer: -5, -4, -3, -2, -0.5, 3573.71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**3 + n**2 - 2*n. Let i(r) = 8*r**3 - 4*r**2 + 7*r + 1. Calculate 7*d(j) + 2*i(j).\nAnswer: 2*j**3 - j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-44)\/(-16))\/(1\/(-16)). Let n be (-1)\/(-5) - y\/30. Let v = 6 + -5. What is the third smallest value in n, 4, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43 - -45. Solve -3*t + w = 12, -2*t - 10 = 3*w - u for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 11*d + 10*d = -644, -969 = -3*u - 3*d. Suppose 13*i = 1283 - u. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g - 71260 = 17*g - 2*g. What are the prime factors of g?\nAnswer: 2, 7, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/2*(-16)\/(-12). Suppose 28 = 4*k + i*c - 0, 21 = k + 4*c. Do k and 4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zazz. What is prob of sequence zaz?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -12*r - 12*r + 15*r**2 + 22*r - 4. Let t be g(-2). Suppose 62*j - 230 = t*j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 d when four letters picked without replacement from {y: 3, d: 6, z: 6}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 50*i*m**3 - 664*i*m - i + 592418 wrt m?\nAnswer: 150*i*m**2 - 664*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8, -50, -146, -280?\n\"Answer: -19*t**2 - t + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/3 + 11152*q\/3 + 31091776\/3.\nAnswer: (q + 5576)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -269*-0.123084\nAnswer: 33.109596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -197 in 1\/55, -1, 0.2, -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -209.6 + 209.56456. Round z to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2))**(-1\/19) assuming j is positive.\nAnswer: j**(2\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/4 of a week?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3384607?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 2*f + 865, 711 = 5*j - 3*f - 149. Let p = j + -705\/4. Sort -1, -3\/8, -2\/5, p in decreasing order.\nAnswer: -3\/8, -2\/5, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t - 11. Let h(n) = 17*n - 76. Let r(f) = -60*f + 235. Let v(o) = 10*h(o) + 3*r(o). Calculate -11*g(p) + 2*v(p).\nAnswer: 2*p + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4 + 280*z**3 - 19600*z**2.\nAnswer: -z**2*(z - 140)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -96*f**2\/7 + 24412*f\/7 + 74100\/7.\nAnswer: -4*(f + 3)*(24*f - 6175)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7569*d + 15278*d - 7434*d)*(-33 + 5*d**2 + 33)*(3*d - 2*d + d) in the form x + o*d + n*d**3 + q*d**4 + a*d**2 and give q.\nAnswer: 2750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3704 - 714 = 10*d. Calculate the greatest common divisor of 117 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -7*i - 4. Calculate f(7).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*o - 4*o - 4*o)*(-51 - 23 - 73)*(o + o - 4*o + (-o + 5*o - 2*o)*(0 + 2 + 3)) in the form v*o + z + d*o**2 and give d.\nAnswer: 4704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 - 58. Let j be 2 + (2 - 3)\/(w\/(-16)). Calculate the smallest common multiple of -5*(-1*1 + 6 + j) and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1))**(5\/4)*a**(-7)*a*a\/a**(-6)*a*a*(a*a*a**(-2\/7)\/a*a*a)\/(a\/(a\/a**(1\/2)))*((a*a**(-6))\/a)\/a*a**3 assuming a is positive.\nAnswer: a**(-1\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -288 - -284. Which is the third smallest value? (a) 2\/15 (b) -2\/21 (c) 0.01 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.603 + -6.603. Let b = -3 + 4. Let m = b - -1. What is the nearest to 1\/2 in m, -3, r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.006 * -0.048787.\nAnswer: -0.000292722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q - 6. Let f(h) = 2*h - 6. Let k(y) = -5*a(y) + 6*f(y). Let s be 1\/2*(-9 - -1). Let x be k(s). Solve -2*b - 2*l = x, -l = -0*b + 3*b - 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1757652 is divided by 68.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/5 in -3, 0.3, 1\/19?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3433 is divided by 261?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tataayxoaahta. Give prob of sequence ox.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - p = -280. Suppose 23 = -3*g + p. What is the remainder when 58 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4904784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -h**5\/20 - 5*h**4\/12 - h**3\/2 - h. Let r(d) = 5*d + 7. Let q be r(-2). Determine s(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2916*x**5\/7 + 3888*x**4\/7 - 3456*x**3\/7 + 832*x**2\/7 - 64*x\/7.\nAnswer: 4*x*(x + 2)*(9*x - 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21966 = -416*k + 197476 + 116686. What is the highest common divisor of 24 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3658521 is divided by 609753.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 4*s**2 - 6*s + 7. Let m be (-3)\/2 - (-104)\/16. What is the units digit of k(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u + 5. Let b(y) = 2*y**2 + 25*y + 19. Let d be b(-12). Let h(m) = 0 + d + 3 - m - 12. Calculate 4*a(i) + 11*h(i).\nAnswer: -3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 358*o + 3 + 316*o - 47*o - 3 to t + w*o and give w.\nAnswer: 627","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.14166? (a) 3 (b) 13\/7 (c) 1\/15 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 524093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -51836432 - 87.3?\nAnswer: -51836519.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-6\/31)*w*w\/(w*w**(-40))*w*w*w\/(w**(10\/9)*w)*w*w*w**(2\/113)*w*w*w)**(9\/7) assuming w is positive.\nAnswer: w**(1472722\/24521)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323595680?\nAnswer: 2, 5, 17, 271, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 7*q**2 - 6*q + 1. Let d be g(4). Suppose 19*v + 105 = 40*v. Solve p + u = 1, -8*p + d = -3*p - v*u for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10550 + -1?\nAnswer: -10551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-73*k - 2*k**3 - 134*k + k**3)*(-k + 12*k + 16*k)*(-1 + 1 + k).\nAnswer: -27*k**5 - 5589*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 21*l**3 - 3318*l**2 + 213*l - 33652. What is w(158)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1334.62 to the nearest 10.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -513?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 17623.2 and 98.6336?\nAnswer: 17524.5664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**3 - 27*g**2 - 53*g - 3. Let k(h) = -h**3 + 26*h**2 + 50*h + 2. Let b(c) = 3*k(c) + 2*x(c). Factor b(f).\nAnswer: f*(f + 2)*(f + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -43 and -0.140267?\nAnswer: 6.031481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (66\/(-88))\/(1\/(-8)). Let d = -5 + 3. What are the prime factors of c\/2 - 64\/d?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 9*y - 12. Let c be d(-10). Put c, -0.56, -3 in decreasing order.\nAnswer: -0.56, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/91 - (-2)\/(-13). Factor 2\/11*u**2 + p + 2\/11*u.\nAnswer: 2*u*(u + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 5*o = -10, -5*o + 6*o - 2 = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -610 - -4883\/8. Sort l, -5, -2\/17 in descending order.\nAnswer: l, -2\/17, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -358 (base 9) in base 7?\nAnswer: -602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 207 = 6*n. Let f = -66 + n. Suppose -4*m - 10 = -6*m. Solve 0 = l - 3, m*b + 4 = -f*l - 7 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -t**4\/12 + 3*t**3 + 7*t**2 - 11*t. What is the units digit of l(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p**2 - 2*p**2 - 2*p**2)*(-1 + 1 - 3*p) + (-2*p + 6*p + 3*p)*(0*p**2 + p**2 + p**2) in the form s + r*p + d*p**3 + a*p**2 and give d.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1550185897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3)\/(m\/(m*m**(-7\/3))))\/((m\/(m\/(m\/(m**0\/m))))\/(((m**(2\/7)*m)\/m)\/m))*(m\/m**4)\/m**(1\/2)*(m\/m**0)\/m**(-1\/12) assuming m is positive.\nAnswer: m**(-293\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -1. Let a = 17 - 21. Let q be 3 - (3 + a - -4). Sort q, n, -0.5 in decreasing order.\nAnswer: n, q, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211\/109 > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i. Let p be (-3 - -4)*1*-6. What are the prime factors of c(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qiqqkiiiqeeillqqiq. Give prob of picking 1 q, 1 i, and 2 l.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -43*f + 5\/2*f**2 - 14. What is the remainder when 19 is divided by v(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76014.\nAnswer: 2, 3, 41, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 16*r + 60 = 0, -171*r + 167*r - 4 = 5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*p - 42*p = 21*p - 8960. Which is bigger: 64 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -caaca9?\nAnswer: -caaca7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41646 - -70765. What are the prime factors of x?\nAnswer: 37, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2272 (base 14) to base 3\nAnswer: 22012111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 98.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 799.\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000025360413 rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/3)\/((-163)\/((-122250)\/700))?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76485 is divided by 25447?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by ((-32)\/(-10))\/((-10)\/(-25)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6006430 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l\/l**(16\/3))*((l**(-13\/2)*l)\/l)\/l*l**(2\/11)\/(l\/l**(-1\/11)) assuming l is positive.\nAnswer: l**(-203\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/29369120 and 101\/396880.\nAnswer: 29369120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.014 - 0. Let y = q - -5.134. Let r = 0.12 - y. Put 4, 2\/3, r in increasing order.\nAnswer: r, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 763123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.11 and -8351?\nAnswer: -918.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 + -92 + 67 + -11.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 139004 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (1*sqrt(1296))\/sqrt(3))*5.\nAnswer: -25 + 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t + 2*t**2 - 1021 + 245 - 483 to k + r*t + w*t**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -68285321 divided by 137?\nAnswer: -498433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.02 and -234429625?\nAnswer: 234429624.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 38*d + 1. What is c(-1)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/7, -13, 1\/54131034?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 6*(1 + (-3 + (sqrt(117) - 3*(sqrt(117) + 0)))**2))*-4*3.\nAnswer: -34380 - 2592*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**2 - v - 23*v**3 + 98*v**3 - 52*v**3 - 2 + 3*v - 29*v**3 to the form d*v**2 + i*v**3 + g*v + u and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -3, 1.3, 5 in decreasing order.\nAnswer: 5, 1.3, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*k**3 + 25*k**2 + 152847*k - 16615701 wrt k?\nAnswer: -6*k**2 + 50*k + 152847","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ce when two letters picked without replacement from {s: 8, e: 4, c: 1}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, i: 2}. Give prob of picking 2 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 i when two letters picked without replacement from vxpxxxxpiiippvxivvxx.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(0 - 2*m + 0) - 4*m + 4*m - m + (-1 + 0 + 0)*(-2*m + 0 + 0).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + f + 3 = 2*n, n + 15 = -5*f for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 306632743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 399004 and 184.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 243569?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 + 52 + 6780*w - 6779*w to c*w + d and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 3:56 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4166616403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -12*i**4\/7 - 2780*i**3\/7 - 260*i**2 + 6460*i\/7 - 264 = 0.\nAnswer: -231, -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328651 is divided by 1658?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68\/(-12)*7\/((-28)\/144)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 96 = -u - 43, -1 = -u. List the prime factors of ((-16)\/(-40))\/(2\/n).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*b - 5*b**2 - 18*b - 2*b**2 - 59 + 60 + 32*b.\nAnswer: -7*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 2*c = -h - 16, 9 = -4*h - 5*c. Suppose 22*r - 4 = 21*r. Let a = 22 - r. Calculate the lowest common multiple of a and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -14 (b) 2 (c) 5 (d) -5 (e) -7\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357969 is divided by 1559.\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (28\/(-21))\/((12\/(-9))\/2). Let b be 131*810687\/6 - (-1)\/n. What is b rounded to the nearest one million?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-1\/17)*v*v*v*v**(-2))\/(v**(-7)\/(v**(2\/17)\/v*v)) assuming v is positive.\nAnswer: v**(154\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by -6.\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1017.\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 3:49 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -55868 times 0.249\nAnswer: -13911.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -24.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*a*f*h**3 + 50*a*f - 28*a*h**3 + f*h**2 + 17*f*h wrt h.\nAnswer: 54*a*f*h - 168*a*h + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.3 times 5?\nAnswer: 311.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -u + 4, 3*m + 77 = -5*u + 28. Let g(d) = d - 6*d**2 + 3*d + 2*d**2. Let x(z) = -6*z**2 + 6*z. Determine u*g(v) + 5*x(v).\nAnswer: 2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1827\/(-105))\/(-29))\/((-8)\/880).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2586893989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 26327 = -26348 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (3 + -5 - 0)) + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -x**4\/12 - x**3\/6 + 3*x**2. Let l be m(-1). Let b(f) = -f**3 - l - f + 0*f - 2 - 6*f**2 - 7*f. What is b(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7880594651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5487 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (1*(5*1*sqrt(171) - sqrt(171)))\/(((sqrt(144)\/sqrt(4) - sqrt(36))\/sqrt(4) - sqrt(9))*-1))**2.\nAnswer: 40*sqrt(19) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.02429146 - -10.22443746. Let a = v + -10.2. What is a rounded to 5 dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3149?\nAnswer: 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 + 5*o**2 - 2*o**2.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/7))**17)**29 assuming w is positive.\nAnswer: w**(493\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/(-21) - (-44)\/3. Let p be (-1)\/(((-14)\/8)\/(-7)). Let w be p + -3*(-3 + 0). Solve l = -4*r - w for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 4150. Let x be l(0). Let m = x - 33137\/8. Calculate the common denominator of -55\/6 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -296323097*a*k + 99305195*k with respect to a.\nAnswer: -296323097*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3\/4 + 48*c**2 - 1245*c\/4 + 525\/2.\nAnswer: 3*(c - 5)*(c - 1)*(c + 70)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*k**3 + 1191 - 294 - 897.\nAnswer: 45*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/4 - (-31)\/2. Let b = s + -9. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 47520, 5\/106, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 345*b**2 + 573*b + 2890. What is the tens digit of j(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -98 + 95. Let s(m) = -m**3 - 5*m**2 - 3*m + 4. Let c be s(-3). Is c at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4)*(56*j**2 - 81*j**2 + 26*j**2 - 3958*j).\nAnswer: j**2 - 3958*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 6*v + 3. Let g be i(-7). Which is the fourth smallest value? (a) 2\/7 (b) g (c) 0.4 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6 - (-13)\/(7*(-1)\/(-1358))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 572 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 k when two letters picked without replacement from jjjklkljllv.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2017371.\nAnswer: 3, 211, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*s - 18 = 116*s + 2*n, -8*n + 12*n - 5 = -21 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.68 - -63.68. Let x = 62 - v. Which is the second biggest value? (a) 0 (b) -5 (c) 8 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12 or 1\/420140?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 6*v + v)*(-5 - 1 - 1 + (-3 + 3 + 1)*(1 + 2 - 2) + (1 - 4 + 0)*(2 - 1 + 1)).\nAnswer: -36*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -774*h - 33. Let n be g(4). Is -3128 != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 14, 601, -5, -1 in increasing order.\nAnswer: -5, -1, 3, 14, 601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -54 in -0.1, 0.4, 133?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 167 + -163. Suppose 0 = 21*x + l - 67. Let u = 0.1 - -3.9. Which is the fourth biggest value? (a) u (b) -3 (c) -0.2 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68*2\/12*(-25)\/(-500)*-30?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 317189147 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3435, -7045, -10655, -14265?\nAnswer: -17875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 619*m**2. Let n(s) = -s**2. Determine f(n(u)).\nAnswer: 619*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 870 - 863. Let z(o) = o**2 - 11*o + 2. Calculate z(b).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of 0 + 0*n - 1\/540*n**5 + 1\/27*n**3 - 1\/216*n**4 + 2*n**2. Find c such that y(c) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36*-86.1.\nAnswer: 3099.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 10*o**2 - 5*o - 6. Let l be m(4). Suppose 0 = -a + 5*r - 100, -2*a - l = -2*r + 98. Let h = -12 - a. What is the remainder when h is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 4719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -28*n + 1970. What is j(70)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ajx when three letters picked without replacement from {h: 1, j: 6, x: 6, a: 3, s: 1}.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4636, 5838, 7040, 8242, 9444, 10646?\n\"Answer: 1202*k + 3434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5472) + 1*sqrt(5472))\/(sqrt(2) + (sqrt(2) - sqrt(98)*1)) - ((-1*sqrt(304) - sqrt(19) - (sqrt(228) - -1*sqrt(228))\/sqrt(12)) + -3)**2) + 2.\nAnswer: -938 - 234*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 7) to base 12\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*s**3 + 78*s**3 - 2*s**2 - 23*s + 2*s**2 + 67*s**3.\nAnswer: -4*s**3 - 23*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - ((0 - -1) + -13). Let s = u - 33. Let l = 57 + s. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1465833243?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**5\/10 - 2*s. Let c = -14 + 14. Suppose -3*u + c = -15. Let d(r) = -4*r**3. What is u*b(y) + 3*d(y)?\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 10, -d - s + 28 + 30 = 0. Let q be -3 - ((d - -3) + (0 - -1)). Let a = -21 - q. Does 8 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 8:51 PM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(2736) + 1 - sqrt(2736)) + sqrt(2736) - 3*(1 + sqrt(2736))) + 0 - ((sqrt(2736) - (0 + sqrt(2736)))*6 + 1 + 0 + sqrt(2736) + 3))**2.\nAnswer: 360*sqrt(19) + 24649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -33*(1 - (3 - 1)).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1307397.9496 to the nearest one hundred.\nAnswer: 1307400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*i = 0. Suppose 0 = -4*d + z - i*z + 169, 0 = -3*d - 4*z + 122. Suppose 4*s - 2 - d = 0. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 417 = -25*n. Let s be (((-3)\/36)\/(12\/n))\/1. Which is the second smallest value? (a) 4 (b) -0.27 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13136 and 13296?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.7 + -0.7. Let k = -19.19 + -1.61. Let f = k - -20.9. Which is the smallest value? (a) f (b) 0.4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/5 + 122*g**2\/5 - 420*g.\nAnswer: 2*g*(g - 14)*(g + 75)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54142 is divided by 27063?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 20*q - 8. Let y(d) = d**2 + 12*d + 17. Let w be y(-8). Is z(w) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 10:11 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36414439 or 1?\nAnswer: -36414439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**4 - 5*q**3 + 5*q**3 + (-3*q**2 + 2*q**2 + 2*q**2)*(-4*q**2 + 5*q**2 + 8*q**2) - 5*q**4 + 3*q**4 + 4*q**4.\nAnswer: 12*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/6 + (-45)\/2. Suppose 5*j = -5*f + 204 - 84, 3*f - 46 = -2*j. Let v = j + x. Are 3 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 - -43. Suppose v*f + 29500 = -5*f. What is f rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -122*l**3 + 3*l**2 + l - 3. Let z be c(1). Let u = 27 - z. List the prime factors of u.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4520 divided by 20\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 921001?\nAnswer: 921001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 3 + -5 - (0 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 1 + 1)*(4*o - 2*o + 3*o) + 0 - 4*o**2 + 0.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/206 - -433\/1442. Let h = -2.06 - -2. Let w = h + -2.94. Sort w, y, 0.03.\nAnswer: w, 0.03, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16652 + -0.969.\nAnswer: -16652.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2*sqrt(114) + sqrt(114)) - (sqrt(114) + sqrt(114) + sqrt(114)*3*-1))\/(-1*sqrt(600)*1*4) + 3.\nAnswer: -2*sqrt(19)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347812 is divided by 10217.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/8 + 34\/16. Solve 0 = -n + 5 - w for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(10\/((-14360)\/12)). Let b = -387 + l. What is the remainder when b is divided by 85?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*((-2)\/4)\/((-40)\/160).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 697 bigger than 0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*7\/(-7))\/((-3)\/(-7)*-1).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*f + 308 + 335 = 115 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5.513182us?\nAnswer: 0.000005513182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35*147\/(36750\/(-20))*2*15?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 + 0*l + 2*l**3 - 3*l)*(-2*l - 5*l + 6*l + (2 - 6 + 2)*(-1 + 1 + 2*l)).\nAnswer: -5*l**4 + 15*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 6:12 AM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -9, 3, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is e (base 15) in base 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -22 (b) 4 (c) 2\/3 (d) -5\/433\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1246109 is divided by 103840.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -x**3\/3 + 17*x**2\/2 + 26*x - 4. What is the lowest common multiple of 12\/4 - 0\/1 and l(18)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -4*s - 2*b, 10*s - 5*s - 5*b = -15 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 8:17 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 403619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -6*a**2 + 11*a + 2. Let k be t(2). Suppose k = -14*h + 4*h + 9*h. Put h, 8, 4 in increasing order.\nAnswer: h, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + o. Let v(h) = 4*h**2 + 17*h - 11. Let l(y) = 3*d(y) - v(y). Does 8 divide l(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.511 rounded to 2 dps?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -9*2*(15\/(-6) - -2). Let r(d) = -49*d**3 + 9*d**2 - 9*d + 4. Let a(m) = -12*m**3 + 2*m**2 - 2*m + 1. Let c(f) = t*a(f) - 2*r(f). Calculate c(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zrrmgmrzmrrr. What is prob of sequence zrmg?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1038 times -17?\nAnswer: -17646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -119393076 divided by -5599?\nAnswer: 21324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4025 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-75392)\/65968)\/(52\/(-7))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a544 - -2097?\nAnswer: -848b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 333, 158, -291, -1152, -2563, -4662?\nAnswer: -7587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 3) + 4\/((-12)\/39). Calculate the smallest common multiple of 42\/(-4)*10\/t and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*o**2 + 8*o + o**3 + 1 + 6*o - 13*o as t*o**2 + x*o**3 + j*o + i and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -100.095 - -25.83\nAnswer: -74.265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48 + 39. Let x be -1 - ((-6 - 0) + q\/(-3)). Solve u - 1 = 5*r, 5*u = -x*r - r - 23 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/30 of a day?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 227*n**2 - 248*n**2 + n**3 - 7 - 63*n - 35*n - 5. Calculate the remainder when 188 is divided by j(25).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 25*w + 12. Let n(y) = -6*y - 3. Let g(f) = -2*h(f) - 9*n(f). Let l(v) = -7*v - 5. Calculate 5*g(b) + 3*l(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**2 + 3 - 69*h**3 - 165*h**3 + 21*h**3 - h**2.\nAnswer: -213*h**3 + 2*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13195, -2182, -4 in increasing order.\nAnswer: -13195, -2182, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -2*v**2 - 23. Let r(f) = -f**3 - 7*f. What is 7*b(p) - 4*r(p)?\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57374 + 118563. What is the ten thousands digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 9 = -11*n. What is the units digit of (-37)\/n + (2 - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c + 1. Suppose 3*j + 6 = 4*j - 2*h, -2*j + 8 = -2*h. Determine w(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/440 and 113\/6220.\nAnswer: 136840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 9:33 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of d**5\/5 + 14*d**3\/3 + 671*d**2 + 298. Find the second derivative of u(f) wrt f.\nAnswer: 12*f**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2285554272 a multiple of 236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 183*v + 30647. What is j(-103)?\nAnswer: 1189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -428694 by -71449.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -7*h**2. Let v(p) be the third derivative of p**4\/3 + 53*p**2. Give v(f(a)).\nAnswer: -56*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -3, 2\/17, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.11441 - 99.42559. Let o = h - -101. Round o to 1 decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/11448776 and 155\/240424296.\nAnswer: 240424296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2133*l + 1066*l - 4*y = -1065*l + 80 + 90, -26 = -5*l + y for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n - 8. Let l = -4 - -10. Let c = l + -12. Let k be z(c). Is -2 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**3\/4 - 73*t**2\/4 + 326*t - 308 = 0.\nAnswer: 1, 28, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/2)\/((-3)\/15). Let l = 9 - v. Suppose u + 2*u - 17 = -4*j, -l*u = j - 1. Is u not equal to 1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w - 3. Let m be c(8). Suppose -6*d + 4*d = 20. Let s = d + m. Is -4 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4007 is divided by 285.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.011 + -32.\nAnswer: -31.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -8 + 8. Suppose -19*d + 523 + 9338 = z. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 730 + -730. Suppose 6*b - 3385 - 4631 = i. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-156)\/(-60) + -8 + (-7)\/(35\/(-2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0336 + 0.1336. Which is the nearest to -10? (a) f (b) 0.5 (c) -4 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 45*q**3 - 4*q**2 - 9*q + 2. Let d(t) = 28*t**3 - 3*t**2 - 6*t + 1. Let b(k) = -8*d(k) + 5*r(k). Determine b(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7\/380483 + 70351687085\/5326762. Let t be 2 - (-2 - -4) - (0 + -13213). Let k = x - t. What is the common denominator of k and -51\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qeb when three letters picked without replacement from bqenx?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5\/7)\/(g\/g**(-14)))\/(g**(-8)\/(g*(g*(g*g**(-7))\/g)\/g)) assuming g is positive.\nAnswer: g**(-96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (21 + -11) - (2 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/3, 443, -4, -365?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (52\/5)\/(26\/585) and 90?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 174 - -194. What are the prime factors of (-2 - (-4 - s))*8\/10?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -9*t - 1. Suppose 3*w + 0*q = -3*q - 24, q = 4*w + 17. Let p(d) = 10*d + 2. What is w*b(n) - 4*p(n)?\nAnswer: 5*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 71085 = 3*n, 0*n + 2*u - 47410 = 2*n. Round n to the nearest 1000.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (20 + -12 + -23)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 33\/(-55) + 0\/2. Let d = -0.2 - 0.8. Which is the second biggest value? (a) -0.3 (b) v (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3800) + -1*sqrt(3800) + -2*sqrt(950))\/(sqrt(48)\/sqrt(6)*4))**2 + -2.\nAnswer: 443\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 88?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/934572 - 143612599\/32710020. Let n = u - -2\/35. Let t = -34033\/2745 - 1\/549. What is the common denominator of t and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 445445 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5a - -1ad?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 32 (b) 523 (c) 0.5 (d) 3 (e) 0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27028*t = 27082*t - 270 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -g**8\/1344 - g**7\/20 - 3*g**6\/5 + 72*g**5\/5 - 865*g**2. Factor j(k).\nAnswer: -k**2*(k - 6)*(k + 24)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1214 is divided by -9 + -6 + (-8 - -28).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2763, 10594, 23593, 41760, 65095, 93598, 127269?\nAnswer: 166108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 18*l - 40. Let h be k(-20). Suppose 12 = 2*r + 2. Solve h*f - f = r for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7105 + 11519. Is n a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -232 - -234. Let v(l) be the third derivative of l**5\/60 - l**4\/24 + l**3\/2 + 38*l**2. What is v(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -4*b + 680, 6*b = 3*t + 3*b - 522. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -q**5 + 5*q**3 - q - 5*q**3 + 19 - q**5. What is the derivative of j(x) wrt x?\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 0*b**2 - 1\/10*b**5 + 4\/9*b**3 + 0 + 1\/5*b**6 - 4\/9*b**4 + 9*b. Factor z(i).\nAnswer: 2*i*(i + 1)*(3*i - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 10:21 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -520219.\nAnswer: 104043.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*c - 28 - 8, 3*r = -4*c - 52. Let t(y) = y**3 + 11*y**2 - 14*y - 13. Let q be t(r). Suppose 0 = -q*z + 781 + 176. Is 22 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447 a factor of 470244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 432.7845 millilitres in litres?\nAnswer: 0.4327845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5612731977?\nAnswer: 3, 1870910659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -365597 divided by -72.\nAnswer: 365597\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.13 - 3.58. Let x = q + -0.15. Let f = 3.6079 + x. Round f to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 80 - 53a1?\nAnswer: -5321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*j - 3 = -2*r, -4*j + 4 = r. Suppose -15*u + r*u = -14985. List the prime factors of u.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2670734, -2670726, -2670718?\nAnswer: -2670710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/1 + 24\/3. What is the greatest common divisor of 99 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26526 + 45137. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1551303 and 663?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5565864 and 1116?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008339499179 rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -1609\/27462?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 280 (base 15) to base 8.\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -k + 1, -2*k - 2*a = -0 - 4. Suppose 0 = 5*h - 6*h + 36. Calculate the lowest common multiple of ((-96)\/h)\/((-4)\/6) and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1122507123 to the nearest integer?\nAnswer: 1039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -48\/13 bigger than 0.04?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(77)*-3)\/sqrt(7))**2.\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 844 - 844. Solve m = -5*o + 4*b + 30, 4*o - 3*b - 18 = 5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 37*b**2 + 36*b + 27. Let p be f(-36). Solve 5*q = -5*g + 30, 0 = -10*g + 5*g - 2*q + p for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 3960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*l**4 + 14*l**4 + 58*l**4 + (22 + 5 - 3)*(4*l**4 + 0*l**4 - 5*l**4).\nAnswer: 29*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -672*i - 490*i - 1903*i - 457*i to h*i + c and give h.\nAnswer: -3522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f77b1cc - 2?\nAnswer: f77b1ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 2. Suppose g = m*g + 6. Let a(f) = 2*f + 3 - 2*f**2 + 0*f**2 + 0*f - f**3. Calculate a(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 323215 or 0.3?\nAnswer: 323215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/46 - 7750\/(-3450))*(-24)\/(-28). Let g be (1\/(-2))\/(2\/4). Let s(a) = a**2 + 7*a + 7. Let d be s(-5). Sort g, d, p in descending order.\nAnswer: p, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.015624 to four decimal places.\nAnswer: -0.0156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3397, 3396, 3395, 3394?\n\"Answer: -r + 3398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*d + 8. Let s(c) = -2*c**2 - 14*c + 3. Let t(o) = -o**2 - 5*o + 1. What is d*s(a) - 8*t(a)?\nAnswer: 2*a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**2 + o**2 - o**2 + 0*o**2 - 4*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 12*g - 124. Give u(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 3*u - 3. Let r be a(-3). Let w be ((-8)\/6)\/(2\/r). What is the units digit of 1 - (3 - w)*-6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 584*f**3 + 343*f**3 + 3899*f**3 + (2*f - 2*f**3 - 2*f)*(3 + 0 - 1).\nAnswer: 4822*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7444 is divided by 296?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 4*h**2 + h + 1. Let v(l) = l**5 + l**3 + l + 1. Suppose -m = -0*m - 2. Let z(j) = m*r(j) - 2*v(j). Find the third derivative of z(n) wrt n.\nAnswer: -120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.7 - 4.7. Let j = 31\/50 + -3\/25. What is the biggest value in k, 2\/19, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, q: 3, u: 15}. Give prob of picking 2 p and 1 q.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y. Let i(n) be the second derivative of 0*n**2 + 1\/30*n**5 + 0 - 1\/6*n**3 - 10*n + 0*n**4. Let l(w) be the second derivative of i(w). Give j(l(b)).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22100220 + -1112011220?\nAnswer: -1012211000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4795 divided by -137\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21 + -116362?\nAnswer: -116341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1775647, -1775779, -1775911, -1776043?\n\"Answer: -132*y - 1775515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 23993.54 minutes?\nAnswer: 1439612400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 1:09 PM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4779291, 9558581, 14337871, 19117161, 23896451?\n\"Answer: 4779290*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -8. Let n be 1\/4*312\/(i - -6). What is the highest common divisor of 1 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/(-104)*(-10)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22793?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -229 + 228.9. Which is the second smallest value? (a) -0.03 (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 106818 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1784\/5 - -355. Let n = s - -7\/15. Is n less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -137 - -140. Suppose -4*h - 135 = -p, 135 = -3*p + 4*p - y*h. What is the greatest common factor of p and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o + 0 + 2 - 6. Suppose -71*n + 53*n + 450 = 0. Suppose 3*x + 30*r = n*r - 40, -2*r - 25 = 3*x. Let s(u) = -2*u - 2. Determine x*s(g) + 3*z(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -5. Let q = 258 + -2840\/11. What is the fourth biggest value in q, y, 0, -0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/36*36\/(-27)*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -21*h**2 - 6*h + 19. Give q(3).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 8 - (-5 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001325393064 rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -195, -199, -203?\n\"Answer: -4*r - 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 770 = -103. Let z = h + -286. Which is the closest to -0.03? (a) 2 (b) 3\/2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2793 - 1597. What are the prime factors of i?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/14*(-315)\/180?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 1830644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 102 = 3*o, -g + 71 = 989*o - 993*o. Solve -g*u + 8 = -37*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1577\/3 + -526. Which is bigger: -131.3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/48)\/((-6)\/(-378)). Let f = x + 737\/40. Calculate the common denominator of 41\/16 and f.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.50129 + 290316?\nAnswer: 290310.49871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 2*k**2 - 3*k. Let d be i(-3). Let s be -6 - (d - (-6)\/(-2)). Let a = -2 + 2. Put a, 1, s in decreasing order.\nAnswer: 1, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x - p - 66270 = 3*p - 65719, x = 3*p + 51 for x.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k - 1. Let r(m) = -13*m - 6. Calculate f(h) + r(h).\nAnswer: -11*h - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57082?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 4*s + 16 = 0, 21*s - 17*s + 12 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 + 12*x**2 - 21 + 3*x**2 as i*x**2 + v*x + w and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 4*u - 25128, -83*k + 87*k - 25116 = -2*u. Calculate the remainder when k is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29.367 times 0.107\nAnswer: 3.142269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -2\/9 (c) 27 (d) -170 (e) 3\/5 (f) -0.48\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1320, 1318, 1314, 1308?\nAnswer: 1300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -135560 times 85\nAnswer: -11522600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-24)\/(-7))\/(-7*(-12)\/294). Suppose 16*c + q = -4. Is -4\/137 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15296 is divided by 232?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1879 - 599. Let s = c - 247. Is s + 3 - (4 + -7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-42)\/294)\/(3\/(-21)))\/((-75)\/8175).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w. Let r(h) = 4*h + 0*h**2 + h**2 + 2*h - 5*h**2 + h**3. Let v be r(5). Let u(i) = v*i - 25*i - 25*i. What is u(g(n))?\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-32)\/16 - (-58 - 0). Suppose w = -s + l, -3*w - 346 = -5*s - 90. List the prime factors of s.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 670217 is divided by 230.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/9 (b) 0 (c) -6\/5 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(76)\/(sqrt(4) - (sqrt(4) - (sqrt(28)\/sqrt(7) + sqrt(4))))*-5)**2.\nAnswer: 483\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 - -33. Suppose -17756 = -5*f - 4*s + 5*s, 0 = -f - z*s + 3547. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12674 + 7556. What are the prime factors of t\/4*116\/(-87)?\nAnswer: 2, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-3*(2 + sqrt(162) + sqrt(162) + (sqrt(162) + 3)**2 + 0 + sqrt(162)).\nAnswer: 729*sqrt(2) + 1557","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*g**3 + 2 - 21*g**2 + 10*g**2 + 14*g**2 to the form r*g + o*g**2 + c*g**3 + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -22. Is 5 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 126687466*n**4 - n**2 - 361392130*n.\nAnswer: 1520249592*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -3*r - 237, -35*r + 36*r = 1. Calculate the remainder when k is divided by 28.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1205 - 1202 = -q + 2*s, 5*q = -4*s - 29 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*l + 2*l. Let y(r) = 4*r**2 - 6*r - 3. Let g(q) = -11*q**2 + 18*q + 9. Let h(m) = 3*g(m) + 8*y(m). List the prime factors of h(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 17993.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -76*t + 59. Let a(r) = 77*r - 60. Let q(j) = -6*a(j) - 7*c(j). Differentiate q(l) with respect to l.\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.78 * 48\nAnswer: 469.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -77.619 to the nearest integer.\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -10100244130?\nAnswer: -10100244132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.01138 less than or equal to 2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 2*i + 730, -723 = -3*t + 2*i - 173. Differentiate -19 - t*z - 13 + 195*z with respect to z.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3. Let w(m) = -2*m**5 + 9*m**3 - 6*m**2. Suppose 0 = b - 9 - 9. Let r(z) = b*i(z) + 2*w(z). What is the third derivative of r(x) wrt x?\nAnswer: -240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 25*g + 3 - g**2 + 25*g - 45*g + 3. Suppose -6*k + 2*k = -20. Let t be m(k). Solve r = t*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2473 - 2099. Solve n*d = 375*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5 + 7 = 0, -4*q - 5*n = 19. Let c(w) = -53*w**2 - 13*w. Suppose 0 = i + i - 18. Let v(l) = 13*l**2 + 3*l. Let s(d) = i*v(d) + 2*c(d). Give s(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -97*z**5\/60 + 122*z**2. Let r(i) = 2*i**2. Calculate r(c(u)).\nAnswer: 18818*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00095819537 rounded to 6 decimal places?\nAnswer: 0.000958","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 - 3)*1862\/30. Let l = r - 124. Let z = 3 - 1. Which is the nearest to z? (a) -1 (b) l (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 59*w**2 - 39*w**2 + 31*w**2 + 0 + 0 + 2*w**2 + (w - 2*w + 0*w)*(-w + 3*w - 3*w) + 1 + 1 + 2*w**2 - 3.\nAnswer: 56*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 - ab?\nAnswer: -b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 443*u - 438*u + 13 = 2*y, 4*u = -4*y - 100. Let s(k) = 7*k + 35. Let a(l) = 4*l + 18. Let g(b) = -5*a(b) + 3*s(b). Determine g(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.4, -2, -5, -1584, -11, -0.2, 1?\nAnswer: -1584","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2668721737, 2668721738, 2668721739, 2668721740?\n\"Answer: i + 2668721736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1648\/6 + 125\/375. What is the smallest value in -3, j, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 6*b = -4. Suppose i = -2*v - 15, 0 - 30 = 5*i - 5*v. Let h = 7 + i. Is b != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 16384.47 litres?\nAnswer: 16384470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/14 - 264\/(-308). Let m(c) = -4*c**3 + 5*c**2 - c + 6. Let a(p) = -p**3 + p**2 + 1. Let y(o) = n*m(o) - 3*a(o). What is y(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -14 - 1606*a**2 - 13*a + 3223*a**2 - 1618*a**2 + a**3. Suppose 3*o + 4*g - 1 = -13, 5*g = o + 4. Let b be s(o). What is b rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 5*j - 8. Let f(r) = 3*r - 31. Let z be f(11). Suppose 16 + z = -3*i. Determine g(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 7 = -3. Suppose -z*n + 131 = 4*x - 3*n, n = 2*x - 65. What are the prime factors of x?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 - 28. Suppose 3078 = 4*k + g*i + 572, -1 = i. Is (-1*k)\/(-3) - -2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 - 87 + 3)*(0*z**2 + 0*z**2 - 4*z**2) - z**2 - 3*z**2 + 3*z**2.\nAnswer: 447*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2224 - -2554. Calculate the greatest common factor of 1452 and r.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 348921.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/9 (b) 5 (c) 7 (d) 56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -31, -3, -1, -2.\nAnswer: -31, -3, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3059 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10805\/77 + -1630\/11. Let h(v) = v**2 + 6*v + 6. Let n be h(-4). Calculate the common denominator of k and (-214)\/(-24)*n + -1.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5911.3 * -0.019\nAnswer: -112.3147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 160 - 161. Which is the nearest to 1? (a) 5 (b) g (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3518 + 3727. What is the smallest common multiple of k and 583?\nAnswer: 11077","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 7*w = 21. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*z - 246 = -4*c, c - 2*z - 38 = 0. Suppose 0 = 4*a - c + 50. Is a >= -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 9\/10, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.11? (a) -2\/7 (b) -3 (c) -285\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 13*y**2 + 21*y + 9. Determine s(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 17*y**2 + 111*y + 130. What is the units digit of z(-24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99359535?\nAnswer: 3, 5, 11, 602179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1504.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 12:18 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -396, -753, -1064, -1317, -1500?\nAnswer: -1601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -522*p**3 + 175*p**3 - 1255*p**3.\nAnswer: -1602*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - u**4 - 423*u**2 + 422*u**2 + 6*u**4 as y*u**2 + g + h*u**3 + m*u + c*u**4 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mim when three letters picked without replacement from iiiiiiiiiimmmm.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 1 + 0)*(7*h - 4*h + 2 - 4*h) + 2*h + 2*h - 5*h)*(3*h + 7*h - 3*h).\nAnswer: -28*h**2 + 42*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 29*w**2 + 59*w + 88. Let s be g(30). Suppose 3*o - 1093 = -2*h, 4*o + s = 5*h + 3*o. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 2*o - 18408, 2*a + 2*o + 13799 = 5*a. Suppose -2*z + 5*i = -3776, -5*i - 2961 = -4*z + a. Suppose -3*c + 6*c - z = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -1, 10, -15, -7, -2.\nAnswer: -15, -7, -2, -1, 10, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/9, 0.5, -58, -3\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of 3*j**5\/40 + 5*j**3\/3 + 8*j**2. Let f(b) be the first derivative of d(b). Let r(i) = 2*i. Calculate f(r(z)).\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - h**2 + h. Let w(x) = 7*x**3 - 4*x**2 + 3*x. Determine -4*c(r) + w(r).\nAnswer: 3*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 3*y**4\/4 + y**3\/2 + 3*y**2\/2 - 2*y. Let o(v) = 7*v + 103. Let r be o(-15). What is the tens digit of p(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -1133, -5, -59, 2\/15, 2, 2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7, 29, 79, 169, 311, 517, 799?\n\"Answer: 2*s**3 + 2*s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j. Let k(x) = 6*x**2 + 62*x - 10. Calculate k(q(t)).\nAnswer: 24*t**2 + 124*t - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76 and 190.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/8 - (1 - 400) - 2. Suppose 0 = -3*d - 2*d + o. Does 11 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -10*u**2 + 8*u - 12. Let b be t(-7). Is 1\/(-2) + b\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 41. Let k = l - -20.00017. What is k rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*u + 5. Let h(b) = 6*b**2. Let z be h(u). Suppose v + 4 = z. Solve -3*y + 2*y = 2, -5*y - 6 = v*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -76214 >= 740?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4, 39, 156, 383, 756, 1311?\n\"Answer: 6*v**3 + v**2 - 2*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d + 233 - 401 = d + 632 for d.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*r**2 - 322*r**4 + 325*r**4 - 17 to a*r + u*r**4 + g + k*r**2 + s*r**3 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 122 - 73. Suppose -5*t - x + b = 2*x, -8 = 4*x. Find the third derivative of -14*d**4 - 7*d**3 + 12*d**3 + t*d**2 - 5*d**3 wrt d.\nAnswer: -336*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + -2 + sqrt(162)*-1 + ((sqrt(162) + -1 - sqrt(162)) + -5)**2).\nAnswer: -9*sqrt(2) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 40\/6*((-13167)\/22)\/7. Let q = 592 + n. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 + 17*i**2 + 24 - 24.\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/22)\/h**5)\/(h**27)**(-34) assuming h is positive.\nAnswer: h**(20085\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p - 71. Let h(n) = -1. Let z(x) = b(x) - 2*h(x). Determine z(21).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -211 + -200003422?\nAnswer: -200004133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 19*m + 16*m - 498 = 0, -5*u + 2530 = 5*m. List the prime factors of 2\/(1\/u*8).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/10)\/((-14)\/35). Let v be p + 2\/(-5) + 692\/5. Let h = v + -48. List the prime factors of h.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2. Suppose -4*u = -5*r - 26, 0 = -6*r + 2*r + 2*u - 16. Let y be g(r). Solve y*i + 1 = 21 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-165)\/132 - 2\/((-32)\/50228)?\nAnswer: 2, 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1003272301?\nAnswer: 1297, 773533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.2 + -0.7. Let a = -3.9 - q. What is the second biggest value in a, 0.04, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 4:35 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13 (b) 3\/2 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -1\/2*s**3 + 0*s**5 + 1\/15*s**6 + 0*s**4 + 4*s + 0 + 0*s**2. Find the second derivative of c(a) wrt a.\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 k when two letters picked without replacement from kjjqcczb.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**4 - 85*h**2 + 180*h - 100.\nAnswer: 5*(h - 2)**2*(h - 1)*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0)**(-1\/22)\/(o**(-2\/5)*o*o**(-3))*(o*o**(-1\/4)*o)**(-34)*o**(-2\/15)\/(o*o**8) assuming o is positive.\nAnswer: o**(-1987\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 774324, 1548705, 2323146, 3097647, 3872208, 4646829?\nAnswer: 5421510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t + 4. Let x(m) = -m - 2. Let u(l) = -9*x(l) - 4*z(l). Suppose -j = -s - 6, -4*j + s = 3*s - 12. Suppose 4*p - 4 - j = 0. What is u(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -4*m**2 + 25*m - 4. Let v be i(5). Which is the closest to -1\/4? (a) -1 (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*s + s + 8, 2*y = -4*s. Let l(j) = -16 + y*j + 57 - 21 - 21. Give l(-3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*v**3 + 10*v**2 - 2*v**2 - 15*v**3 wrt v.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -20, -i - 292996 = 8*r - 3*r. Round r to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -44611, -1042 in ascending order.\nAnswer: -44611, -1042, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + -3)*(-1 - (-2 - 1)). Let g be d + 27\/3 + -4. Solve g*s + 2*s - 15 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/2*((-27)\/(-144))\/((-66)\/176)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**4\/3 + 4*d**3 + 4*d**2\/3 - 4*d.\nAnswer: -4*d*(d - 3)*(d - 1)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.919692 + 1.92. What is c rounded to 5 dps?\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 105*g**2 + 3*g - 2. Suppose -4*q = q - 5*d - 25, -2*q - d + 16 = 0. Suppose q*t - 4 = 3*t. Is 15 a factor of v(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*j**2 - 3201*j - 3 + 3201*j - 20 wrt j.\nAnswer: -34*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-27)\/(-126))\/(9\/(-12))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 420 divided by 84.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -0.068?\nAnswer: -0.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 3. Suppose -5*p + 3 = -2*p + s, 4*p + s - 3 = 0. Let j be q(p). What is the greatest common divisor of j and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8, 31, 54, 77, 100?\n\"Answer: 23*n - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(192) - sqrt(192)*1 - sqrt(192)).\nAnswer: -8*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 8128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) -0.29 (c) -0.2 (d) -13 (e) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-135)\/(-4) - (-3)\/(-4). Suppose 3*d - 3*s = j, -5*s - 2 = -7. Solve -3*n - 3 = -d for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 66*i + 33 - 33 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1053 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108 and 5928.\nAnswer: 53352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 1446 = -178. Suppose -2*s + 44 = h, -37 = 5*h - 2*s - q. Let t = h - 48. Solve p + 10 = t*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25*16\/(-1200)*-1*54.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/10, 0, 6 in descending order.\nAnswer: 6, 0, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -92 - -60. Let n be (105\/14)\/((-6)\/j). Suppose 0 = -3*s + 7*s - 5*f - n, -6 = -2*s - f. What is the remainder when 32 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**2. Let m(u) be the third derivative of u**5\/120 - u**3\/3 + 3*u**2. Let z(w) be the first derivative of m(w). Determine z(n(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 570189 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5740835 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 13 + 25 = 0. Let l be g\/14*(84*-1)\/(-6). Solve -l*a - 2*i + 7 = -a, 32 = 4*a - 3*i for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -7. Suppose d - 21 = 3*v, 3*d - 3*v = v + 43. Calculate the least common multiple of g and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7927 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 27\/2 of a meter in centimeters?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 341239?\nAnswer: 103, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 m, and 2 j when four letters picked without replacement from rfjrlfmjffpp.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2)*l*l)**(2\/149))**40 assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30692171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*c - 7, 3*h - 2*c = 484. Suppose 5*g + h = 21*g. What is the smallest common multiple of g and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2091119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.637968 to two dps.\nAnswer: 0.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l + 36. What is the units digit of u(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -265*b**3 + 6*b - 6. Let h(q) = q - 1. Determine -6*h(v) + u(v).\nAnswer: -265*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1536.7 and -5255.08.\nAnswer: -3718.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26564 and 368461?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1360\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 122?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 1 - ((0 - 8) + (0 - -10))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 299 + -298. Which is the third biggest value? (a) z (b) -0.03 (c) -5 (d) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1686 is divided by 711.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -936*l**3*v + 103*l**3 - 3*l**2*v + 58*l*v + 3*l + 2*v - 14 wrt l.\nAnswer: -5616*l*v + 618*l - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 195858*o**3 + 6*o**2 - 7*o + 6. Is a(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21.4 + 24.42. Let n = 0.02 - k. Let g = -4 - -3. Sort g, n, -3\/4.\nAnswer: n, g, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 9) in base 16?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -46096 divided by 67?\nAnswer: -688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*x - 5 = 0. Suppose -x*l - 4*b - 25 = 0, -51 = 6*l - 2*l - 3*b. Let u be -1 + (-2 - -1)*-2. Sort u, 4, -5, l.\nAnswer: l, -5, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -10*m**6 + 111*m**5\/5 + 252*m**4\/5 + 34*m**3\/5 - 6*m**2 - 9*m\/5 - 903. Let t(g) = 0. Calculate g.\nAnswer: -1, -1\/5, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 1139 divide 3066851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*i - 3*i**2 + 8*i)*(6 - 20*i - 6)*(16 + 26 - 11).\nAnswer: 1860*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1916772503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 331?\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -332 = 54*m + y - 981, 1743*m - 16 = 1742*m - 4*y for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -554, -2329, -5324, -9539, -14974, -21629?\nAnswer: -29504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -1937*s**4 - 9*s**2 - 10967. Let p(v) = -3876*v**4 - 16*v**2 - 21933. Let u(h) = 7*a(h) - 4*p(h). What is the derivative of u(z) wrt z?\nAnswer: 7780*z**3 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -9*a**2 + 4*a + 3. Let g(n) = 8*n**2 - 3*n - 2. Let z = 161 + -163. Calculate z*w(u) - 3*g(u).\nAnswer: -6*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -78.86 + -0.64. Let k = a + 9.5. Let r = k - -70. Which is bigger: r or 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*a + a**4 - 6*a - 4*a**2 + 0 + 4 in the form u + v*a**2 + y*a**4 + b*a**3 + r*a and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20106 is divided by 4937.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -o**5\/20 - o**4\/6 - o**3\/3 - o**2\/2 + 3*o. Is t(-3) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - 20) + (1 + 0 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 3350542165?\nAnswer: 3350542166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d*d**(-11)*d)))\/(d*d**(17\/5))*(d**2)**27 assuming d is positive.\nAnswer: d**(203\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -17 + 17 - (-4 + 2). Suppose 0*u + 3*u + 5*t = 33922, 3*u = -l*t + 33907. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 3*k + 2*k - 8 - 22, 811*u - 5*k = 816*u - 20 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -217, -526, -1025, -1702, -2545?\nAnswer: -3542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1414076 - 4?\nAnswer: -1414081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-86)\/(-258) + (0 - 52\/(-6)). Solve 14 = w*n - 2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 10:51 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.8 + -7. Let l = -6 + 8. What is the nearest to l in u, -3\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d + 9. Suppose 6*w - w - 25 = 0. Let z be p(w). Let a = z + 20. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1977301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4530 = -4433178*q + 4433329*q for q.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b + 5. Let h be i(0). Let f = h - 1. Suppose -113 = -f*a + 519. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + n = -1, -3*g = 4*n - 8. Suppose -5*i - g = -2*f, 3*f - 8 = -3*i - 2. Suppose i = -w + 2*r + 36, 0 = -w + 5*r + 19 + 23. Is w a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -222080 less than -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 209683 and 4203.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x + 18. Let w be l(-14). Let y(g) = g + 6. Let k be y(w). Let h = 246 - k. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9342254231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9105 is divided by 207?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1596051, 3192092, 4788129, 6384162, 7980191, 9576216?\n\"Answer: -2*r**2 + 1596047*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 534, -1, 5, -29445.\nAnswer: -29445, -1, 5, 534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(175) + -3 - sqrt(175))**2 - sqrt(175)) + 3 + sqrt(175) + sqrt(175))*-5 + (sqrt(175) + 1)**2 + -2 + 4.\nAnswer: -15*sqrt(7) + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*g**3 - 7185*g + 7185*g + 7*g**3.\nAnswer: 18*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 10. Suppose -2 = -2*f, 6*d - 2*d = -3*f + 43. Let o be 4\/d*15\/9. Put o, 3, z in descending order.\nAnswer: 3, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 76, 305, 684, 1213, 1892, 2721, 3700?\n\"Answer: 75*b**2 + 4*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -4 + (-5 - -17) + 15?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1893019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 12. Let u = -3 - -2. Let y = u + 1. What is the second smallest value in y, b, 1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1013 divided by -6.\nAnswer: 1013\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55*p**2 - 4*p + 4*p + 59*p**2 - 7*p**3 wrt p.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 2)*(-6 + 6 - 12*w**2) as d*w**2 + h + p*w and give d.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -2*f - f + 12, 0 = -2*u - 3*f + 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -9 - (-14 + (7 - -15) - 15)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = v + 5*c + 32, -4*v + 2*c + 92 = 0. Suppose 107 - v = g. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*r**2 - 9*r**2 + 0*r**2 + (7*r**2 - 2*r**2 - 3*r**2)*(-1 + 1 - 1).\nAnswer: -28*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21939 + 33599. Is l a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -6*l - 4. Let a be s(-3). Let p = 45 - a. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/74 and 71\/388?\nAnswer: 14356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 11:59 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 21*s**2 - 9*s - 8. Let a be f(-22). Let j = a - 641. Solve 8 = j*g - 37*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 123 = 2*c - c, -2*x + 3*c + 111 = 0. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (4 - 6) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42 + 39. Which is the second biggest value? (a) 7 (b) y (c) -2\/5 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -1 (c) -2 (d) -52\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 14*p**2 - 14*p - 11. Let x be d(-13). Put -1, 1, x in ascending order.\nAnswer: -1, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379777 - 434685 = -1961*k for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.976 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 + 1616*g - 3248.\nAnswer: 4*(g - 2)*(g + 406)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-700.\nAnswer: 2800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*u + 3*p - 3, u + 2*p = 4. Solve 0 = -2*w - 3*l - u, 3*l = 6*l for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4768129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-5\/6)*q**4*q*((q*q**(-5\/2))\/q)\/(q*q**(-2\/15)) assuming q is positive.\nAnswer: q**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 124 - 64. Let w = f - 94. Let t = -12 - w. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14505412.\nAnswer: 2, 83, 43691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 1 - (10 - 9)*-4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of 0 - 1\/2*z**2 + 10*z - 1\/6*z**3. What is o(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76241 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -1\/120*u**6 + 0*u + 0*u**4 + 0*u**5 - 2*u**2 + 11 + 2\/315*u**7 + 0*u**3 - 1\/1008*u**8. Solve j(w) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from {v: 4, j: 3, w: 7}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 65362735 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 487*o**2 + 62*o + 2816*o**2 - 62*o as g*o + j*o**2 + y and give j.\nAnswer: 3303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 220?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 3. Is 9 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 9*f = -m - 7, 5 = 4*m + 5*f for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*v = 18*p - 45*v + 100*v + 8, 5*v - 184 = 4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 221497 - 110753 + 10735*m - 110744 as c + t*m and give t.\nAnswer: 10735","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.86 + 0.14. Let h = 1.8 - x. Let a = 1.4 - h. Round a to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 100.067 and -3.\nAnswer: -300.201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + i - 15 = 0, 3*l + 54*i - 59*i + 27 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*j + 1 - 894*j**2 - 947*j**2 + 1877*j**2 - 3 = 0. Calculate j.\nAnswer: -1, 1\/18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -z**2 - 6*z + 31. Let s be n(-9). Let l be ((-2)\/(-3))\/(3 - 28\/s). Solve 5*c - l = -5*h - 21, -c = 4*h + 13 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (20\/(-2)*9\/(-18))\/(-1). What are the prime factors of 639 + (0 + 3 + -12 - m)?\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 2:15 AM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 365 = 26*s - 51. What is the third derivative of -33*l**4 - 120*l**5 + 194*l**2 + 18*l**4 + s*l**4 wrt l?\nAnswer: -7200*l**2 + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-14) + 528\/168. Suppose -1 = -l, 0*l = k*r + 5*l - 4869. List the prime factors of r.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/5)*r)\/((r**(-2\/9)*r)\/r)*(r*r**(-1)*r)**(1\/6))\/(r**(-2\/13)\/((r**(-2\/9)\/r)\/r))**(-19) assuming r is positive.\nAnswer: r**(47839\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzqzzzzzqzzzzq. What is prob of picking 3 q?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u\/(u\/(u*u**(-2\/23)*u))*u*u)\/u)**46\/(u**14)**(-4\/21) assuming u is positive.\nAnswer: u**(548\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -367*q - 162*q + 2324 = -197*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(80)*-2*6 - (sqrt(80) + 0 + sqrt(80) - sqrt(80))*2) + (-5*sqrt(80)*2 - (4 + sqrt(80) + 0))))**2.\nAnswer: 7200*sqrt(5) + 450144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 12 = -3*t + t, 0 = 2*t + 5*p - 24. Sort t, -5, 77 in descending order.\nAnswer: 77, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 22\/7*r - 2\/7*r**5 - 12\/7 + 0*r**2 - 20\/7*r**3 + 12\/7*r**4 = 0. What is r?\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 15, 4*r - 2163 = -4*y + 133. Suppose 4*s - s - 25 = 5*o, 8 = -4*o. Suppose s*n - 194 = y. List the prime factors of n.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 8:19 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/(-96)*28\/(-21).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**3\/7 + 9826*s**2\/7 - 3172454*s\/7 - 1588684\/7 = 0. What is s?\nAnswer: -1\/2, 383, 2074","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 12 (b) -2\/337357 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 58655924\/(-44) + 6\/33. Let y = -9313830\/7 - w. Let o = y + -2548. Find the common denominator of 71\/8 and o.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47543 is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 279158396305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 6*x**3 - 4*x - 5. Suppose -8*p - 22 - 18 = 0. Let h(l) = 7*l**3 - 5*l - 5. Determine p*q(j) + 4*h(j).\nAnswer: -2*j**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 62\/18) + 2. Let r = 0.449 - -0.031. Let c = 0.48 - r. Put 4, m, c in increasing order.\nAnswer: m, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2637 - -1604?\nAnswer: -1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 20*n**3 - 17*n**2 - 28*n + 13. Let d(c) = 11*c**3 - 9*c**2 - 15*c + 7. Let p(j) = 11*d(j) - 6*m(j). Determine p(-5).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000041009568 rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*p*y**2 + 4*p*y - p + 521*y**2 + 141*y wrt y.\nAnswer: 36*p + 1042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -273 divided by 13.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*y + 680 = 54*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in 2, 2\/7, -53?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 y when three letters picked without replacement from {y: 2, w: 4, c: 2, f: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18217 + -74745\/4. Let o = m - -472. Solve -15\/4*k**5 - o*k**4 + 0 + 0*k**2 + 0*k - 1\/2*k**3 = 0.\nAnswer: -2\/5, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((3 + 4*(1*sqrt(68) - sqrt(68)))*1 + 2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2723 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: Collect the terms in -168*t**2 - 168*t**2 - 177*t**2 + 505*t**2.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -3*h + 9. Suppose h*d - 181 = -y, 3*d + 59 = 3*y - 460. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 42619975118 and -193.1.\nAnswer: 42619974924.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -269b - 0?\nAnswer: -269b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 61 + 4*m - 40 - 2550 in the form f*m + n and give n.\nAnswer: -2529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 5*h = -110, 1520*t = 1515*t + 5*h + 140 for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51593 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: Suppose 18*d = -187*d - 641690 - 449525. Is d at most -5324?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 110\/44*(-568)\/(-20)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 872962350 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(-86)\/12*-3. Let m = 217 - f. Suppose -4*j + 3*a + 348 = 2*a, 0 = -3*j + a + m. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 62 = -4*j. Suppose 2*o - 2 = 3*l + 2, -2*o + j = 2*l. Suppose 3*f = 3*v - 51, 3*f + 28 = l*v - 2*f. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a meter in millimeters?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of k**4\/24 + 17*k**3\/6 - 18*k**2 - 519*k. Let r(n) = 0. Calculate n.\nAnswer: -36, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 5*n**2 - 3*n + 3. Let o(a) = -26*a**2 + 16*a - 16. Suppose -w - 16 - 9 = 0. Let h = -41 - w. Calculate h*q(f) - 3*o(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32030143 + 2?\nAnswer: 32030200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 14 = -2*x, 0 = 2*x + 3*t + 2*t - 18 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f. Let k(g) = -g. Let o(y) be the first derivative of -3*y**2\/2 + 5. Let v(j) = -7*k(j) + 3*o(j). What is v(m(u))?\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 767835595*k**4 + 823110178*k wrt k.\nAnswer: 9214027140*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1184\/9 + (-4)\/(-9). What is the common denominator of (l\/(-16) - -2)\/((-117)\/26) and -1\/292?\nAnswer: 2628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 4*a = 18 - 16, 2 = -2*m + 5*a for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11108170 to the power of 1\/2, to the nearest integer?\nAnswer: 3333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1244807545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 50.87 and 14803.\nAnswer: 753028.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 95 = -5*j, 38 = 5*r + 63. Solve 10*v = -18 - j for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 + 10*y**2 - 312*y + 576.\nAnswer: (y - 12)*(y - 2)*(y + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 42, 77, 134, 219?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-6 - 1386\/(-252)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i**3 - 3*i**2 - 2*i - 1. Let r be 324\/27 + -1*5. Let m(p) = -6*p**3 - 7*p**2 - 5*p - 3. What is r*t(u) - 3*m(u)?\nAnswer: -3*u**3 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(2*(-3)\/32). Suppose -10*r + 6*r = -g. Find l such that -3\/5*l**2 + 7\/5*l**3 - 7\/5*l - 2\/5 + l**r = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**4 - 10302*g**3 - 10305*g**2 + 20606*g = 0.\nAnswer: -2, 0, 1, 10303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6 - (-45)\/(7 + -2). Let g(j) be the first derivative of 4 + 3\/4*j - 1\/4*j**2 - 1\/12*j**f. Factor g(o).\nAnswer: -(o - 1)*(o + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = i + i + 8, -i - 4*q = -14. Suppose 2*u - 18 = -4*l, 3*l - 13 = 4*l - 3*u. Let y be ((-3)\/3)\/(1 - l). Sort 6, i, y in decreasing order.\nAnswer: 6, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 1)*(0 - 3 + 0)*((3 + 0 - 1)*(-4 + 0 + 2) - 2 + 1 - 10)*(2*o + 0*o - 3*o - o + 2*o + 4*o + (0 - o + 0)*(-4 + 4 - 2)).\nAnswer: 810*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 33112\/3 at most as big as 11036?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 36\/(-2)*(2 - 1). Let x be (-3)\/(t\/(-4)) + 0. Let i be (-3)\/9*1*-1. What is the second biggest value in -3, i, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/2 - 4867922*h + 11848332299042.\nAnswer: (h - 4867922)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3*((-75)\/(-9) + 3)*-2 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a + -2664?\nAnswer: -2670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 34, 34, 32, 28, 22, 14, 4?\n\"Answer: -y**2 + 3*y + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 59, 138, 245, 380, 543, 734?\nAnswer: 953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jkk when three letters picked without replacement from {b: 12, k: 2, j: 3}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 59\/236 - 3\/((-24)\/1457318) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1111022221222110 + -100?\nAnswer: 1111022221222010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + t. Let h(r) = -r**2 - 2. Let g(z) = -z**2 + z + 6. Let i(x) = -2*g(x) - 6*h(x). What is i(j) + 2*p(j)?\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.58, -0.3, -1 in ascending order.\nAnswer: -1, -0.3, 0.58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 39083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -20 + -b0?\nAnswer: -d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13563152 + -4?\nAnswer: 13563147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 17. Calculate the common denominator of (106\/d)\/((-40)\/12) and 19\/18 + 6\/(-12).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*z**2 + 192*z**2 - 212*z**2 - 4 - 169*z**2 + 3.\nAnswer: -351*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 5493a0?\nAnswer: -54939e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5b5c - 9?\nAnswer: 5b53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*q = -84*q + 975. Solve -81*a = -q*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -3\/26 (c) 0.4 (d) 34\/711\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-18 + 12)*(2 - (-4)\/(-3))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = y - 2*y, -4*y = n - 12. Let c be (-90579)\/(-9)*(-2)\/n. Let s = -2527 - c. Find the common denominator of s and 27\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r - 2275*r**3 - 3251*r**3 - 3*r.\nAnswer: -5526*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*u**2 - 15*u**3 + 13*u**3 + 12*u**3 - 29*u**3.\nAnswer: -19*u**3 - 17*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 209 + -213. Let i(r) = -2*r + 15. Let g be (2 + -1 + 3)*2. Let x be i(g). Which is the nearest to 2\/7? (a) x (b) -3\/5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 11. Let s be 2*t + 0 + 3\/(-5). Which is the third smallest value? (a) s (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -227*g**4 - 6*g + 54 wrt g?\nAnswer: -2724*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l**4\/12 + l**3 - 2*l**2 + 4*l. Let n be y(-7). Solve n*o + 4 = -2*z, z = 3*z + 4*o + 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b698729 - -3?\nAnswer: -2b698726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 741479 or 741476?\nAnswer: 741479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*s - 40*s**2 + 12*s**2 + 24*s**2.\nAnswer: -4*s*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 118937 - 1314634\/11. Let n = b - -572. What is the common denominator of 50\/9 and n?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 16. Put 0, -5, z in descending order.\nAnswer: z, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 3872 = 2428. Round j to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10946 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: 243\/2 + (-13630)\/(-5452)\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*x = 62*x - 2880. Which is greater: x or -361?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000049136 to seven decimal places.\nAnswer: -0.0000491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.1 - 4.2. Let f = -6.3000195 - n. What is f rounded to 6 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9662 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 y(p) = 3*p**2. Suppose -5*m - 22 = -72. Let i(w) = -12*w - w + m*w. Determine y(i(j)).\nAnswer: 27*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 471697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 2:28 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g + 2 - g**2 - 8*g - 1. What is the tens digit of p(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 38*c**2 - 202*c - 94. Give u(-32).\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -178*v**2. Let x(i) = 4*i. What is a(x(g))?\nAnswer: -2848*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 6*f + 77. Let d be g(-12). Solve d*x - 2*c = 18, x = -2*c - c + 7 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.128415929 rounded to 2 decimal places?\nAnswer: -1.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - z)*(-3 + 3 - z**2) + (z**2 + 0*z + 0*z)*(-11 + 11 - 7*z) + 136*z**3 + 38310*z**2 - 38310*z**2.\nAnswer: 130*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32075 - -32044. Which is smaller: 64 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-15) - (-12)\/(-20).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3620*p**2 - 56*p - 125. Is w(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 + 2*f**3 - 2*f**2)*(-26*f + 54*f + 5*f)*(-3 + 3 + f).\nAnswer: 66*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -7*v**3 - 7*v**2 - 5*v. Let z(t) be the second derivative of -t**5\/5 - t**4\/3 - t**3\/2 - t + 133. What is -3*c(q) + 5*z(q)?\nAnswer: q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 6*i**3 + 46*i**2 + 10*i + 747. Find a such that k(a) = 0.\nAnswer: -5, -1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a meter in millimeters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.7 - -1.2. Let x = o + 1.50001. Round x to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6 - (-8)\/(-4)) + 2050?\nAnswer: 2, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by -7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*(sqrt(112)*1 - sqrt(112))**2 - (1*1*sqrt(112))**2).\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/7426 and 149\/19812.\nAnswer: 73561956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**6\/1980 + d**5\/220 + d**4\/66 - 2*d**3\/3 + d**2. Let s(a) be the first derivative of c(a). Let s(z) = 0. Calculate z.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/4 or -1.6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wgkg when four letters picked without replacement from xjxwkjggzgjgzj?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*p**3 - 245*p**2 - 520*p - 80 = 0. What is p?\nAnswer: -4, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of m**6\/600 - m**5\/75 - 27*m**4\/40 - 6*m**3 + 1144*m**2. Let u(w) = 0. Calculate w.\nAnswer: -5, -3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2*p = -4*p + 10, -4*c = 4*p + 8. Let k = c - 2. Let j(q) = -q**3 - 3*q**2 + 3*q + 6. Calculate the smallest common multiple of 11 and j(k).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4507706*q**3 + 1700*q**2 + 419*q?\nAnswer: 27046236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vax when three letters picked without replacement from vxxlvxxxllxaalxxxxx?\nAnswer: 22\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 2986000 to the nearest 100000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, -54.148, 5\/6, 4 in decreasing order.\nAnswer: 4, 5\/3, 5\/6, -54.148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54087 is divided by 2872.\nAnswer: 2391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/2 - 9*o\/2 + 11.\nAnswer: -(o - 2)*(o + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 440904*o**3 + 149*o**2 - 2918 wrt o?\nAnswer: 2645424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/10016502 and 143\/288660.\nAnswer: 100165020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -3*a + 32*a - 9*a + 36*a - 620, -6*g = 4*a - 56 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -m - 8*n + 6276, 5*m + 5*n = 31340. Is m a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a - 3*a + 16*a**2 + a.\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 324671, 649394, 974115, 1298834, 1623551?\nAnswer: 1948266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c + 35. Let j be y(-11). Solve -3*q - j = -17 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -5*h + 175. Suppose -43*k + h*k + 248 = 0. What is the remainder when 90 is divided by k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 46 + 9 = 0. Let b(j) = -j**3 + 3*j**2 - 1. Let i be b(2). Find the second derivative of 10*q - i*q - x*q + 20*q**2 wrt q.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**2 - 2*v**2 + 4*v**2 + (-2*v**2 - v**2 + 4*v**2)*(1 + 1 - 7) - 4*v**2 + 6*v**2 - 6*v**2.\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q. Let w(k) be the third derivative of -25*k**4\/24 - 15*k**2. Calculate f(w(j)).\nAnswer: 50*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -5702.86 to the nearest one hundred.\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4*u + 1. Let j be l(-1). Suppose 0 = -2*z - 2*x - j + 1, 0 = -5*x - 20. Let h = 8 - z. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(550)\/sqrt(360))\/(sqrt(80) - -1*sqrt(80)).\nAnswer: -5*sqrt(11)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/14)\/(2696\/(-448) - -6). Solve -47*s - f = -16 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 168.7 - 169. Let q = 10 + -4. What is the biggest value in q, -2\/3, 0.4, i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l - 4 + 3 + l**2 - 2 - 4*l**2 + 2*l**4 in the form y*l**4 + m + j*l**2 + c*l + k*l**3 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x + 76603 = -x + 395897. What are the prime factors of x?\nAnswer: 2, 9391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 - 2490293.8?\nAnswer: -2490263.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -12*o + 27. Let p(k) = -5*k + 12. Let d(z) = 4*a(z) - 9*p(z). Let l(w) = -3*w**2 - 16. What is l(d(x))?\nAnswer: -27*x**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 331083, 666295, 1001519, 1336761, 1672027, 2007323?\nAnswer: 2342655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7\/278 - -153\/556. Put -2\/9, 6, -13\/6, s, 3\/4 in descending order.\nAnswer: 6, 3\/4, s, -2\/9, -13\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-2)*(-4)\/(-6). Suppose -w + m = -3. Let o be (-4)\/(-14) - (-110)\/7. Solve 0*q - o = w*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = -4*n - 10. Is 0 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (205\/(-246))\/((-18)\/(-648))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2 - 16*v - 6. Determine p(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 6*i**2 + i + 2. Let u be h(-6). Let l(r) = -r**3 - 4*r**2 + 3. What is the least common multiple of l(u) and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*x**2 + 2*x**3 + 8*x - 3*x**3 - 9*x - x**3 + 4*x**4 + 6*x as z*x**2 + u + v*x**3 + o*x + h*x**4 and give z.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0674, -5, -0.5, 3 in decreasing order.\nAnswer: 3, -0.0674, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 21*(-80)\/2520*26\/13\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 5*y - 9, -2*y - 36 = -4*o - 24. Solve 3*a + o*g + 15 = 0, -8*g + 5 = -2*a - 5*g for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13259025 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -2029257?\nAnswer: 2\/676419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (5020\/50)\/(6\/15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 4*l + 5*r, 3*l + 26 = 4*r + 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 + 5*h**2)*(65 + 15*h - 67 - 14*h).\nAnswer: 5*h**3 - 10*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2 = -2*a, 4*z - 2 = a + a. Suppose -g = -z - 2. Is 3 a factor of 1\/g - (-18)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28*10\/50)\/(1484\/(-31800))?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 4*i + 34 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3 = -2*u - 1, 7 = u + 4*d. Let p = 5 + -3. Solve -3*a = -u*t + 6, -3*a = 5*t - p*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -656998 - 0.155.\nAnswer: -656998.155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/8*p**2 - 124609\/2 + 353\/2*p.\nAnswer: -(p - 706)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2891, -5782, -8673, -11564?\n\"Answer: -2891*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16157132 is divided by 342?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -0*b + 3*b. Suppose 4*c = -c + b. Suppose r = c*r. Is 1\/4 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u. Let s be d(-2). Let j = 4 - s. Suppose -v + 5 = j, -4*a + 120 = v + 3*v. Is a a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 12 + 6*f)*(4*f - f - 2*f).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -253733, -507446, -761169, -1014902, -1268645?\nAnswer: -1522398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 139*n + 34890. Give f(-251).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -96325*d*q**2 - 1795*d - 2*q - 13 wrt q?\nAnswer: -192650*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 j, and 1 s when three letters picked without replacement from sgvmsjr.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 7\/18, -2\/3, -0.1?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30*n - 173 wrt n.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**3*j**2 - 2*h**3*j - 11*h**3 + 224*h**2 - 4*h + 175*j**2 - 2*j wrt j.\nAnswer: 2*h**3*j - 2*h**3 + 350*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*s**3 + 377*s**3 - 2*s - 102*s**3 - 46*s**3 + 2*s - 118*s**3.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 + 64. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30684*k**2 + 109 + 96*k**4 + 30684*k**2 wrt k.\nAnswer: 384*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -145\/132 - -11\/12. Which is the second smallest value? (a) 0.1 (b) 4 (c) g (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = -3 + 27. Suppose -5*r = -2*j + 5*j - 148, c*j + 5*r = 204. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24736672 plus -1?\nAnswer: -24736673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 432229531?\nAnswer: 47, 9196373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -472*c = -475*c + 15. Let k(o) = -38*o + 5. Let f(g) = 1007*g - 133. What is c*f(z) + 133*k(z)?\nAnswer: -19*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 3 + -1 + 0 + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 785, 1569, 2355, 3143?\nAnswer: 3933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1461102 is divided by 443?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + o**2 + 2 + (4*o**2 + 4*o**2 - 4*o**2)*(-3 + 1 + 0) + (0 + 2 + 0)*(-2*o**2 + 3*o**2 + o**2))*(2*o**2 - 3*o**2 - o**2).\nAnswer: 6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**3 - 134*n**2 - 623*n - 180. What is m(-62)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, 0.3, 0.008, -2865?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*4*(1*sqrt(5808) + 5).\nAnswer: -528*sqrt(3) - 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -33 divided by -2442806\nAnswer: 33\/2442806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 232325006*d**2 - 9*d + 1001163 wrt d?\nAnswer: 464650012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9522\/(-8))\/((-1)\/(-4)). Let p = 38205\/8 + g. Let o = -29\/2 + p. Do o and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ab (base 15) in base 8?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from uuusuuuususssusuuus?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*c - 4570 = 0, -21881 + 3526 = -4*y - 5*c. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-16)\/10)\/(8\/(-60)). Suppose -10*p = -21*p - 36*p + 3948. What is the highest common factor of p and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 28 + -1a127ab?\nAnswer: -1a12783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 8, y: 6, k: 3}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 104 and 16176?\nAnswer: 210288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 30 - 157 = 381. Let c be (0 - -160) + (2 - 2). Let l = n - c. Does 19 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y + 5. Let m be b(0). Let k(p) = 4*p + 9. Let i be k(m). Let q = 19 + i. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3248c - 29?\nAnswer: -324b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -7*n**3 + 23*n**2 + 12*n + 12. Let z(r) = r**3 - r**2 - r - 1. Let m(s) = q(s) + 6*z(s). List the prime factors of m(17).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 8:33 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2537528.\nAnswer: 2, 7, 113, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.96 - -6. Put 5, g, 3 in increasing order.\nAnswer: g, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 - 2136741*f - 27778140.\nAnswer: 3*(f - 712260)*(f + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 48 + 24 + 6*z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -228171*r**2 + 263557*r wrt r.\nAnswer: -456342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 3*d + 4*x - 141, d - x - 33 = 0. List the prime factors of d.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 284, 538, 812, 1118, 1468, 1874, 2348?\n\"Answer: 2*c**3 - 2*c**2 + 246*c + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/170901197?\nAnswer: -1\/170901197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3749332, 5, 4 in increasing order.\nAnswer: -3749332, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 452304611 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -5*g**2 - 210*g - 400 = 0.\nAnswer: -40, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j - 4. Let c be o(3). Suppose c*f - 2 = 8. Let p(g) = -f*g**2 + 2*g**2 + 2*g**2. Let x(v) = v**2. Calculate p(x(r)).\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 100 + -101. Let n = -0.1 + 0.5. Which is the closest to v? (a) 2\/9 (b) n (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 52.35413ng?\nAnswer: 0.00005235413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.11004 * -5.\nAnswer: 0.5502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -8*c + 5. Let s be t(-5). Let g = -7 - -12. Suppose -s + g = -4*x. What is the remainder when x is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10288\/1366503 + 2\/4863. Let b be (4 + 120\/(-28))\/1. What is the nearest to 1 in d, b, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f + 829 - 811 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7002 + 88*m + 4*m**2 - 2*m**2 + 3863 - 88*m.\nAnswer: 2*m**2 + 10865","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 8:57 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.972 - -0.028. Which is the nearest to -0.2? (a) z (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 558679 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -5, -0.5, 5, 13, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 0*q = 2*x + 606, -x = -q + 120. What is q rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 3*f = 43 - 62, -2*f + 6 = -2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 171272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4321, 0.952, 0.2 in decreasing order.\nAnswer: 0.952, 0.2, -4321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**2 + 19583214*k - 95875567642449 = 0. What is k?\nAnswer: 9791607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4306 is divided by 711.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 475 + -461. What is the closest to -2\/5 in 4, x, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 578 and 8217766.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -526, -480, -406, -304, -174?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 59808.95 to the nearest one hundred.\nAnswer: 59800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2683, -5362, -8039, -10714?\n\"Answer: d**2 - 2682*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 3. Suppose o*h = 2*h + 3. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-20952)\/(-120))\/97)\/(1\/((1900\/(-12))\/5)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*q + q + 2 + 2*q + (0 + 1 + 0)*(2*q + 1 - 1).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 5*d + 1374, -v + 599 = d + 133. Suppose -3*u + w + 356 = -0*w, 4*u = -w + v. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1495970 divided by 355.\nAnswer: 4214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2247\/68 - -396\/17. Let d = -4638\/1397 - -6\/127. Find the common denominator of d and g.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c - 0*g - 5*g + 8, -8 = -4*c - 4*g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 864743 divided by 5.\nAnswer: 864743\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2286 at least -363\/293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h + 9. Let f be g(-7). Suppose o = 12 + 45. Suppose 3*s = 5*j - 101, -3*j = -4*s + s - o. Solve -f*p - 3*w - 17 = 0, 0 = -p - 4*w + 6 - j for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15195425 to the nearest integer?\nAnswer: 3898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i*i**6)\/i*i*i*i*i\/i**2*i*i)**(-43) assuming i is positive.\nAnswer: i**(-473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*v + p - 1724 = 0, 3*v + 11537 - 11682 = -4*p for v.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2 + 3 - 63*d + 131*d - 71*d. Calculate q(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 14*l**2 + l + 18. Let m be b(-14). Sort m, 2, 15, -5 in increasing order.\nAnswer: -5, 2, m, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, c: 4, f: 6}. What is prob of sequence fc?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3632.264638 + 5800?\nAnswer: 2167.735362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-57)\/35 - 48\/(-112). Let w = -13\/15 - t. Put 0.4, -3, -4, w in descending order.\nAnswer: 0.4, w, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (44 - (34 + 2) - (24 + -1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -20 - (-50628 + -22 - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6*u + 4. Suppose -91*r + 12 = -103*r. Calculate c(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(2\/11))**37*u**5\/u**(3\/7) assuming u is positive.\nAnswer: u**(2683\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 11. What is the second derivative of f*g**5 + 4*g**4 + 0*g**4 + g - 4*g**4 wrt g?\nAnswer: 60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/sqrt(5))**2 + 1 - (1*sqrt(175) - sqrt(7))**2 - (sqrt(112)*-1 + (sqrt(567) + -2)**2).\nAnswer: -675 + 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of n**6\/120 - 7*n**5\/60 - 13*n**4\/24 - 5*n**3\/3 - 7*n**2. Is l(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 4 + 4*c + 9*c - c. Let r be p(8). Suppose 24*w - r*w + 12 = 0. Solve d + w*n = -2*d, 4*n + 24 = 2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115747739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 10*v**2 + 10*v + 10. Let g be y(11). Let p be (-3)\/(-1 - (1 + g)). Solve -25 = p*i - 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -63 + 69. Suppose -s*u + 4*u + 1106 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -6*s + 2*v + 19, -2*s - 33 + 35 = 5*v for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 g, and 2 n when four letters picked without replacement from nnbgncgbn.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 165 - 137 - (16 - 15)\/(2\/(-4))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -100101101?\nAnswer: -100101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -484.17 and 0.4.\nAnswer: -193.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hekhkkkkh. What is prob of sequence hh?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3872938 - -116177.\nAnswer: 3989115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 15*z - 25*z - 1271 = -82 for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 4:08 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 21*h**2 - 23*h + 5. What is the smallest common multiple of r(-22) and 6?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*h - 944 = 41*h. Calculate the highest common divisor of h and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.110031744 to one decimal place.\nAnswer: -10.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ammm when four letters picked without replacement from macammcmm?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -282, -108, 432, 1332, 2586?\n\"Answer: -f**3 + 189*f**2 - 386*f - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - a = 183, -2*q - a = -6*q + 146. Suppose q*o = 50*o - 21437. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nbwaananfanwabaabba. Give prob of sequence ab.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -24*u**2 - 2257*u - 92. What is q(-94)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 27\/(-29)) + 132268\/(-1431556)*41?\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(10*k**5 + 3*k**5 - k**5).\nAnswer: 12*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3*k + 4*k + k)*(4 + 2*k - 4) + (3 - 3 + k)*(-k + 2*k + 0*k))*(3*k + 0*k + 3*k) to the form i*k**3 + z*k**2 + q + t*k and give i.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, d: 7}. Give prob of sequence qqd.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4570208 is divided by 152340?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-637)\/728)\/((-105)\/60)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1\/3*(-7434)\/354\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/35)\/((-418)\/(-3344))?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkrrrrkkrkrrrrrkrrk. What is prob of sequence rrk?\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 11*z - 111. Give q(17).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 11:46 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9413, -18823, -28233, -37643, -47053, -56463?\nAnswer: -65873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 454074371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11045 - 2) + (-39)\/13. Let s = m - -1228. Let p = -4462 - s. What is p rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -856.4 - -855.4. Which is greater: v or -0.9916?\nAnswer: -0.9916","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 385816, 385801, 385778, 385747, 385708, 385661, 385606?\nAnswer: 385543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: 22c7d2 (base 14) to base 6\nAnswer: 41235112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6624 to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/100686 and -37\/12?\nAnswer: 201372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.2, 3\/5, -5, -199.85?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.3 (b) 2 (c) 1.86\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 22*v**2 + 2*v + 12. Let r be j(6). Suppose 5*y = 4*f + 60 + 600, 5*f + r = 4*y. Let q be 360\/(4*(-3)\/f). Round q to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - z = l - 23, -3*l + 30 = 5*z for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 4*y**2 - 4*y + 3. Let o be a(5). Is 6\/(-24) + 1066\/o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 480 - 481. What is the third smallest value in -0.04, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 7*i**3 - 5*i**2 + 5. Let m(j) = -4*j**3 + 3*j**2 - 3. Let k = -5 - -25. Let w be (-5)\/k - 42\/(-8). Calculate w*m(n) + 3*p(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*n - 7. Does 43 divide 0 + 12\/(-36) + (-2020)\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q = -19*q + 2*s - 4, 5*q - s - 7 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -5*z**2. Let g(o) = -6*o**2 + 5*o + 10. Let y(c) = 5*c**2 + 191*c - 96*c - 99*c - 8. Let f(x) = 4*g(x) + 5*y(x). What is f(m(t))?\nAnswer: 25*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32\/28*1\/4. Let f = 14997487\/196 + -76518. Let h = -2\/49 + f. What is the second biggest value in -2\/5, h, z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 2\/3793 (c) 0.13 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 183*m + 6*m**2 + 183*m - 10*m**2 - 39*m + 39*m - m**2 + 4*m**2 - 2*m**2 + (4*m - 4*m - m**2)*(3 - 3 + 2).\nAnswer: -5*m**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -25 and 5869749?\nAnswer: 5869774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17638 + 17786. Solve -10*d + w = 108 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + -5. Suppose -5*u + 10 = c, 2*u - 5 - f = -2*c. Solve 0 = 2*w + 3*m - c + 1, 3*w - 13 = -4*m for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/a**(2\/21)))**44)**(1\/89) assuming a is positive.\nAnswer: a**(88\/1869)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -49711 greater than -845076\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c - 42 = -5*c. Let n = -2.9 - 0.1. Let v = -10 - n. What is the second smallest value in c, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42 or -41?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 60507 divided by 3\nAnswer: 20169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 315959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -p + 3, 7*p = 3*p - 20. Suppose 5*d + 4*b = -0*b - 25, d - 2*b + 5 = 0. Which is bigger: d or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from yyyyytyyyyt?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 - 29. Let n = c + 1.35. Let u = n - -1.2. What is u rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -491, -959, -1501, -2153, -2951, -3931, -5129?\nAnswer: -6581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -1\/42*f**3 + 3*f**2 - 3\/28*f**4 - 9\/35*f**5 + 0*f + 0 - 9\/35*f**6. Factor c(u).\nAnswer: -(6*u + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1705245 is divided by 429.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 8 + 38*a**2 + 14*a - 15*a.\nAnswer: 38*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -37*j + 7. Let i be g(-3). Suppose -2*t + 143 = n, 2*n + 2*n + i = 2*t. Suppose 5*v + 5*l - t - 46 = 0, -142 = -5*v + 4*l. Is v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 2 = 4*h, -14 = -5*h + 5*o - 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 940336 is divided by 2732.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u - 4 + 23*u + 24*u - 23*u.\nAnswer: 23*u - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, d: 2, g: 2, n: 5, a: 1, m: 1}. What is prob of picking 1 b, 1 a, 1 g, and 1 n?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 745 - 390. Let a = 509 - k. Does 14 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9442.73485 to the nearest 100.\nAnswer: 9400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f - 4. Suppose 3*q = -q + 12. Suppose -a + 3 = q*g - 11, 3*a = 4*g - 36. Let x be n(g). What is the second smallest value in 1\/7, x, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12.7, 2, 0.41, 36\/17 in decreasing order.\nAnswer: 36\/17, 2, 0.41, -12.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7284, 9146, 14214, 24096, 40400, 64734, 98706, 143924?\nAnswer: 201996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -45 (c) -0.5 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -12*h + 10. Let a be w(1). Let b = -3.1 + 0.1. Let z = b + -3. What is the third biggest value in -0.1, a, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 - 5*d + d - 6 - d + d**3. Let g be v(-3). Suppose g*c + 4*c + 4*c**3 - c + c - 8*c**2 = 0. Calculate c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/2 + 18\/(-24))*36. Suppose -23*o - 168 = -f*o. Is 7 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -673373862 divided by -7?\nAnswer: 96196266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 701 = -2*c + 3807, -3*c = -5*f - 4657. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**4*k - 325*i**2*k**2 - 2*i**2*k*v - i*k**2*v + 2*i*k*v - 1246*v wrt i.\nAnswer: -24*i**2*k - 650*k**2 - 4*k*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*l**4\/11 - 766*l**3\/11 + 28*l**2.\nAnswer: -2*l**2*(l + 77)*(5*l - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (8 + (-5 - -6) - 8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11100 - 121122?\nAnswer: -202222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + (2*sqrt(68) - sqrt(68)))*5)\/(sqrt(256) - sqrt(256)*-1 - sqrt(4)) + ((sqrt(170) + (-2*sqrt(170) - sqrt(170)))*1)\/(6*sqrt(90)).\nAnswer: 5*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103877?\nAnswer: 109, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6657839 to the power of 1\/3, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/660 and -61\/12?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1365*d**2 - 1370*d**2 + 2746*d**2.\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -11. Let l = 17485 + -17485.04. Which is the second smallest value? (a) -3 (b) r (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-9))**(-2\/17) assuming h is positive.\nAnswer: h**(18\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/7*m**2 + 0*m + 0 = 0. What is m?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 718 + -321. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -11030, -0.45 in ascending order.\nAnswer: -11030, -0.45, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -28156, -28115, -28046, -27949, -27824, -27671?\n\"Answer: 14*j**2 - j - 28169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -928 (c) 0.1 (d) 3\/11 (e) -2\/131 (f) 0 (g) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -0.156.\nAnswer: -0.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 1 = -4*f - 10*i, -4*i = 5*f - 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(-6\/5)))\/q**13)**6 assuming q is positive.\nAnswer: q**(-354\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4101304 and 156.\nAnswer: 159950856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 8*z. Let r(h) = -15*h. Let f(p) = -5*r(p) - 9*w(p). Let v(k) be the third derivative of -k**4\/8 + 3*k**2. Determine v(f(d)).\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**2 + 57*y - 155. Let s be o(38). Let g = s + 2384. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1859?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3740482973+-0.5\nAnswer: -3740482973.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2)*-12*6\/12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 527770219 to the nearest integer?\nAnswer: 22973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + ((-11332948)\/(-17170))\/11 + -33.\nAnswer: 2\/505","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 7\/51 (b) 0 (c) -1 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k\/(k*k\/(k*k**(-3))))*k)\/(k\/(k\/k**(2\/3))*k))\/(k**(-4\/7)\/(k*k*k**(-2)*k)) assuming k is positive.\nAnswer: k**(82\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1148)\/168 + 2\/(-12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -17402543.3 + 10.2206\nAnswer: -17402533.0794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -1.2.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 538 divided by 5.\nAnswer: 538\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/(-42))\/((-396)\/4752))\/(5\/(175\/(-2)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4897\/1722 - 3\/287. Let a = 11\/3 - o. Is a bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -7*p + 490. What is the highest common factor of 9 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**3*w**6 - 7269*d**3*w**3 + 3*d**3*w + 27*d**2*w**2 - 6*d wrt w?\nAnswer: 120*d**3*w**3 - 43614*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1016859 to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/20)\/(k\/(k**(-1\/4)*k)) assuming k is positive.\nAnswer: k**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1001200111 (base 3) to base 5\nAnswer: -1132121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cnc when three letters picked without replacement from {c: 11, n: 2}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 172055.\nAnswer: -1\/172055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 676340 (base 12) to base 4\nAnswer: 12102211200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8*12\/(-720) + 588696\/45?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -5*a - 2*x + 36, -2*a + 9 = -3*x. Suppose 0 = -3*v + 6 + a. Let u(w) = -w**3 + 4*w**2 + 6*w - 5. Let i be u(v). Is -1\/6 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 170 = -4*r, 3*r - 259 = 3*l - r. Let j = l - -441\/5. Let s = -62 + 55. Which is the third biggest value? (a) -3\/8 (b) j (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 246999.1.\nAnswer: 740997.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112 and 334096?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-7)\/(35\/(-4)) + (-13)\/((-390)\/915966)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*h + 22*h + 41*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 330?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 150*g**2 - 280*g + 3639. Determine u(-152).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 b when two letters picked without replacement from {b: 1, d: 1, y: 1, r: 1, p: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -59378*b*f*h - 4*b*f - 2*b*h - 4*b + 41383116*f*h wrt b.\nAnswer: -59378*f*h - 4*f - 2*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.36599 litres to millilitres.\nAnswer: 7365.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 0.049.\nAnswer: -0.245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18a + e?\nAnswer: -17b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2. Let g(p) = -p - 10. Let b be g(-10). Let n(s) = b*s + 12*s + 4*s. What is h(n(y))?\nAnswer: 256*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-10)*((-11000)\/66)\/(-20)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3011203 + 10.4.\nAnswer: -3011192.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o - 2*o - 4*o - 7*o + 2*o.\nAnswer: -17*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 l when two letters picked without replacement from {i: 1, l: 1, a: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v**3 + 10*v**2 + 6252*v - 31378. Give g(5).\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -1, -6, 0, 2.\nAnswer: -6, -3, -1, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**3 + 2*n**3 - 4*n**3 - 2*n**2 + 3 - 3*n + 2*n**4 + 5*n as z + d*n**3 + h*n**2 + j*n**4 + f*n and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43151679.\nAnswer: 3, 19, 127, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 317 greater than or equal to 298?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -91*q**2 - 1180*q + 1314. What is a(-14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0994418 to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 9, u: 1, m: 3, l: 3, x: 1, k: 2}. What is prob of picking 1 x and 3 m?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/15240 and 73\/75.\nAnswer: 76200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24353.71 millennia to centuries.\nAnswer: 243537.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -5 (b) -0.6 (c) 1 (d) 176896\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.023022985 rounded to three decimal places?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 2. Suppose 5*u + 18 = 5*y + s, -5*y + 13 = -4*u. Let o(p) = -2*p. Let k be o(u). Solve 3*t = 2*t + k for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 9:00 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (21 - (18 - (-10 + 9 + 10))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7176646193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of j**2 + 1\/6*j**3 + 0 - j. Determine b(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(-90)\/27*30\/4. Solve s + 4*s = x for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5*o - 22, 5*f + o + 4*o = 15. Is f > 1\/118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2704, 5400, 8094, 10786, 13476, 16164?\n\"Answer: -s**2 + 2699*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 272*m**3 + 1910093764*m**2 - 1910093764*m**2.\nAnswer: 272*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 2:59 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -0.1, -1, 73, 392, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of 0*c**6 + 1\/21*c**7 + 0*c**2 + 25\/2*c**3 + 11 + 0*c**4 - c - 1\/2*c**5. Find the second derivative of a(u) wrt u.\nAnswer: 40*u**3 - 60*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/84*(-36)\/(-12)*-7\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - (sqrt(25) + sqrt(25)*2)\/sqrt(5)) + sqrt(25)\/(-2*sqrt(5)) - (sqrt(5) + (sqrt(45)\/sqrt(9) - sqrt(5)) + -4)*3)**2 + -5.\nAnswer: -132*sqrt(5) + 1161\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 4*g + 9. Let y be s(7). Suppose -26*q + y*q = 12. Suppose 9*t = q*t + 120. Solve 0 = 2*x + 3*x - t for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 83807.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + (3*(-3 + -4*(1 + sqrt(108) + sqrt(108))*5))**2) + 5.\nAnswer: 397440*sqrt(3) + 6239841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3103 is divided by 134.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3001659805 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*q + 23*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60 + -56.1. What is q rounded to 0 decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + ((-33)\/(-22) - (-1)\/2). Suppose -s = 3*s - 80. Solve -p - k*p - s = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3977.\nAnswer: 41, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z + 13. Let j be g(-6). List the prime factors of j\/(4 - (-110)\/(-28)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 4*s**2 - 4*s + 2. Calculate p(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.6 (b) 1\/2 (c) -0.748 (d) -5 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7459*c**5 + 22*c**4 + 144*c + 21350?\nAnswer: 149180*c**3 + 264*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 132 (base 5) to base 7\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5104 divided by -146.\nAnswer: 2552\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 11*r**5 - 2*r**4 - 14*r**2 - 11*r. Let d(f) = 4*f**5 - f**4 - 5*f**2 - 4*f. Let q(y) = 3*a(y) - 8*d(y). Suppose q(b) = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 - (-174 + -7) - 66?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence igvy when four letters picked without replacement from {y: 1, v: 6, u: 1, i: 6, g: 1}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p + 6*p**3 + 6*p)*(-p + 4*p - p + p + 5*p - 4*p + (2 - 9*p - 2)*(-1 + 0 + 2)).\nAnswer: -30*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 31*a = -605, -2*a - 25 = 4994*l - 4989*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20045194 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 smaller than -413495?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 85294110.\nAnswer: 85294110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 532 + -427. Does 7 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1082464 is divided by 71?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(((sqrt(220) - (sqrt(220)*-1 - sqrt(220)))*5)\/((sqrt(20)*-2)\/sqrt(5)))\/((sqrt(3564) - (sqrt(3564)*-1 - sqrt(3564)))*-1))**2.\nAnswer: 125\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*k**3*y**3 + 3412*k**3*y - 3142*k**2 + 5*k*y**3 wrt k?\nAnswer: 18*y**3 + 20472*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35*a - 3*a - 9*a - 160*a**4 + 1 - 3 - 5*a wrt a.\nAnswer: -1920*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 20741*n + 2*n**2 - 6*n**2 - 3*n**2 - 20750*n + 2*n**2 + 3*n**2. Let l(r) = 4*r**2 - 2*r**2 - 3*r**2. Determine b(l(k)).\nAnswer: -2*k**4 + 9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 479 != 1441\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 0*n + 2*n)*(-35 + 7 - 3).\nAnswer: -62*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + 43 + 3*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 215 - 215.3. Which is the nearest to -0.1? (a) k (b) 10 (c) 5 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v*v**6))*v*v\/(v\/v**(-1))*v*v**(-2)\/v**0)\/((v**(-2\/15)\/v)\/(v**6\/v)*(v**(-1\/4))**(-36)) assuming v is positive.\nAnswer: v**(47\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1848 and 7125272.\nAnswer: 21375816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31422 and 15711.\nAnswer: 31422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of 0*d + 0*d**3 + 0 - 1\/24*d**4 + 1\/20*d**5 + 3*d**2. What is p(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-152)\/133 - (-250)\/35) + -1 + -1. Let g = 12 - 2. Solve -g = -2*r + 2*v, q*r + 1 - 15 = v for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7997035.\nAnswer: 5, 1599407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.969, -1\/3, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wccrxrrxcwwcc. What is prob of sequence crrx?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**4\/17 + 14170696*i**3\/17 + 14170694*i**2\/17 = 0.\nAnswer: -7085347, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 2:34 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 10:43 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17.01 + -17. Let x = 0.29 + r. Which is the second biggest value? (a) -7 (b) -0.5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 42371 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -95\/1037 - -2\/61. Which is the nearest to -1? (a) 0.5 (b) 5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17442*s**2 - 34887*s**2 - 83*s - 98*s + 17443*s**2 to v*s**2 + k*s + r and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5782809974?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -2002111022?\nAnswer: 2002111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8374 or -0.012?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 3*b - 9, 857*b = -2*u + 859*b + 16 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4, -27, -118, -299, -600, -1051, -1682?\n\"Answer: -5*x**3 + 4*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 23. Let w = 9 - v. Solve 6 = 4*m + w*o, -2*m + 12 = -4*m + 4*o for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q. Let a(h) = -h + 7. Let m be a(4). Suppose -15 = m*t - 3*j, 4*t + 20 = t + 4*j. Let w(b) = 3*b + t*b + 4*b - b. Give x(w(p)).\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - 5*o - 4, -4*x - 7*o + 8 = -11*o for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 190 + -221. Let t = 36 + c. Is -2 at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3051\/568 - -1\/284. Find the common denominator of t and -125\/78.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 5 - (8 + -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 149712 or -87\/26?\nAnswer: -87\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifty-five quarters of a minute?\nAnswer: 825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -f**5\/5 - 13*f**2. Let h(w) = 3*w**2. What is h(a(x))?\nAnswer: 432*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 39. Suppose 0 = 5*j - 5*a - n, 0 = -2*j + a + 9 - 2. Suppose 1 = j*v + 2*y - 7, -12 = -4*y. Calculate the highest common divisor of v and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34\/(-23 + 25) + -5\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s - 1 + 1)*(-24 - 6*s**2 + 30 + 5*s**2) to d + x*s + n*s**3 + i*s**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188233955?\nAnswer: 5, 7, 13, 23, 17987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -5*r**2 - 7*r - 17. Calculate u(-10).\nAnswer: -447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 17 - -9 - (-3)\/((-3)\/(-4)). Let c(z) = z**2 - 28*z - 55. Let p be c(v). Let s(y) = y**3 - 5*y**2 - 2*y - 3. Give s(p).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*b**4 - 80*b**2 - 11*b**4 + 27*b**4 + (-3*b**3 + 5*b**3 + b**3)*(b + b - b) in the form t*b + f*b**2 + y*b**4 + p + d*b**3 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 63*x**2 - 119*x + 356. Determine w(-61).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4 + 0*c**2 + 1 + 5*c + 2*c**2. Let s = 14 + -5. Let n(g) = 4*g**2 + 8*g + 2*g + 5*g + 3*g + 0*g - 7 - 7*g. Determine s*m(r) - 4*n(r).\nAnswer: 2*r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 980282252?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z - 7. Let l be u(11). Suppose 4*h - 5 = -2*y + 7, l*y = -h + 17. Solve -12 = -5*a + 4*c, -y*a = -3*a - c - 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 2*q + 17 - 27 = 0, -2*f + 4*q = 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -162.2925 to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 3*p**2 - 8*p - 3. Let r be n(6). Let j = r - -112. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26395?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243 = 8*c + 43. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2571.9839 to the nearest integer.\nAnswer: -2572","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j. Let z be v(10). Let c be (1 - (1 - 2))*z. Suppose 5*b - 53 = 5*d + 7, -d + c = b. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1821905 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1606 + 1197 - 3163 + g.\nAnswer: g - 360","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/2)\/i)\/(i\/(i\/i**(2\/3)*i))*i**(1\/4)\/(i*i\/(((i\/(i\/i**(-4)))\/i)\/i*i)) assuming i is positive.\nAnswer: i**(-95\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 567, 569, 571, 573?\nAnswer: 575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*f + 59128 = 43*f. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -196*y**5 + 3135328*y**4 + 4479452*y**3 - 191896*y**2 - 1279856*y + 255968 = 0.\nAnswer: -1, 2\/7, 15998","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -11*r**2 - 6*r - r - 12*r - 4*r + 25. Let z(o) = 5*o**2 + 11*o - 12. Suppose -65 = 6*t - t. Let h(n) = t*z(n) - 6*y(n). Determine h(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -562*l**2 - 6*l + 23?\nAnswer: -1124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63 + -65. Let u(m) = -3*m - 7. Let j be u(b). Suppose -p = -4*p - 6. Is j >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1593 a factor of 383046408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -176158 (base 10) in base 13?\nAnswer: -62248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 586\/155 - 513574\/134695. Is w smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 77191079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2984419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.5584 to 0 dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8141, 7704, 6513, 4190, 357, -5364?\nAnswer: -13351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4.41676667 and -0.3.\nAnswer: -4.71676667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9244381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**2 - 11*r**3 - 1 + r**2 + 10*r**3. Let z(y) = -1 + 661*y**2 + 4*y**3 + 660*y**2 - 1316*y**2 - 3*y + 6. Determine 5*d(j) + z(j).\nAnswer: -j**3 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18196961 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11044 * 92\nAnswer: -1016048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 33*z**2 + 28*z + 137. Give i(32).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 21.46*-44914\nAnswer: -963854.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1152 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-20)\/6)\/((-2)\/6). Let l be (4\/10)\/(2\/p). What is the first derivative of -10*t - t**l + 3*t + 2 + 7*t wrt t?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1169 - -1171. Solve -32 = -4*q + 3*f, v*f + 1 = 2*q - 17 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 16*w**2 + 7*w - 6. Let z be f(2). Is 72 >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 24357965 = -2*c, -30357551 + 91252586 = 5*c + 5*o. What is c rounded to the nearest 100000?\nAnswer: 12200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 235 (base 11) to base 5.\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0) + (-6 - (-38 + 43)) + -42.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i. Let d(f) be the first derivative of 344*f**3\/3 - f**2 + 1187. Calculate d(l(c)).\nAnswer: 1376*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19873a + -10?\nAnswer: 19872a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(7 + -17)\/100.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117081 + 117081 + 7*m.\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.7 - -4.4. Let v = -2 + -2. Which is the third smallest value? (a) -2\/7 (b) u (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*a - 1 + 1)*(4 - 4 + a) + 1 - 1 + 2*a**2)*(-2*a**2 + 10*a**2 + 3*a**2) to v*a**3 + g*a + z + q*a**4 + x*a**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 2*k + 1. Let v be h(3). Suppose -2*u = 3*f - 463, 2*f - 3*f + v*u + 159 = 0. Let y = 288 - f. What are the prime factors of y?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g. Let h(z) = 9*z**2 - 2. Let m(x) = 36*x**2 - 9. Let a(p) = 9*h(p) - 2*m(p). Give s(a(f)).\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1260 + 459 - 181)*((m + 2*m - 2*m)*(3*m + 0*m - 4*m) - 3*m**2 + 5 - 5).\nAnswer: -6152*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002168809559 to seven dps.\nAnswer: -0.0002169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/6))**(-1\/5)\/(q**(5\/8)*q**19) assuming q is positive.\nAnswer: q**(-2359\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 73754, 5, 45, 0, -4 in decreasing order.\nAnswer: 73754, 45, 5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of 4*u**2 + 19*u + 0 + 17\/6*u**3. What is the derivative of r(f) wrt f?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24.6 + -25. Let j = 0 - -3. Which is the third smallest value? (a) -1 (b) j (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1349, 6, -15 in decreasing order.\nAnswer: 1349, 6, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1433255 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4034*u + 4035*u - 15 = 4*p, 5*p + 2*u + 35 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 355 is divided by 116.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 39*v - 36*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 310263 (base 7) to base 6\nAnswer: 1045113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w - 47 + 39 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 5:09 PM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26 + 26 + 18*o + (4 + 10 - 18)*(4*o + o - 3*o).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1416935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 - 7 = -2*w. Let z = 94 + w. What is the second derivative of 30*o**2 - 18*o - z*o**2 + 16*o**4 - 18*o**2 wrt o?\nAnswer: 192*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26942708 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 71\/2735 (b) 3\/17 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-103*j - 97*j - 51 + 3 + 196*j)*(-j**2 - j**4 + j**2).\nAnswer: 4*j**5 + 48*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 10 = -2*n - 0*s, -s - 14 = -4*n. Let i(c) = -5 + 5 - c**2 + 6 - 5*c. Let g be i(-6). Solve b + 5*j - 5 = g, -j = 3*b + n*j - 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - s**3 + 4)*(0 + 0 + 2*s + (64 - 12*s - 64)*(-2 + 1 - 1)) to g*s + i*s**2 + n + w*s**3 + f*s**4 and give f.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-16)*15\/((-75)\/(-160)). Solve 0 = -4*t - 3*c - 9, 2*c = -7*t + 9*t + a for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 - 85. Let k = 37.9 + i. Let v be ((-455)\/10)\/13 - -2*1. What is the nearest to k in -6, v, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 2)*(-3*p - 2*p**3 + 3*p) + (2*p - 3*p + 2*p)*(p**2 - 7*p**2 + 3*p**2).\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -11488, -22929, -34330, -45697, -57036?\n\"Answer: -x**3 + 26*x**2 - 11512*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11558 less than -87?\nAnswer: -86.88442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -3*k - 4*w - 2, 4*k - 34 = 3*w. Calculate the remainder when (-5)\/k*(2 + (-1 - 47)) is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-11)\/((-220)\/(-32)))\/((-4)\/10). Suppose 3*c + v = 27, u*c - 4*v - 7 = 13. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306324215?\nAnswer: 5, 61264843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -951656326*u**3 + 188*u**2 - 25*u - 6443 wrt u?\nAnswer: -5709937956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 6 + 14 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1980871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.02 and -325165.3?\nAnswer: 325165.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3646105?\nAnswer: 5, 751, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 7. Suppose 0 = -2*i + 19 + m. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -26, -26, -18, -2?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 764531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v + 10. Let b(c) = 1. Let z(u) = -3*b(u) + l(u). What is the remainder when 22 is divided by z(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - 1 - (-133 + (160 - 81))?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 109*r + 112*r - 15 = 0, -4*r = 2*u - 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 9:00 AM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -83.\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 5*s**2 - 3*s**2. Let d(p) be the second derivative of 2*p + 0 + 5\/12*p**4 + 0*p**3 + 0*p**2. What is z(d(b))?\nAnswer: 25*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 10*f**3 - 2*f + 1. Let s(m) be the second derivative of -m**5\/20 - m**4\/6 + m**3\/3 - m**2 - 4*m. Let u be s(-3). What is the units digit of g(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/12)\/(370\/888))\/(44\/10).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8047191 nanometers to centimeters.\nAnswer: 0.00000008047191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10*2\/(-4) - (-100)\/24. Which is the closest to -0.2? (a) -5 (b) -7 (c) 3 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -5, -3, -4, -2, -113, -538 in decreasing order.\nAnswer: -2, -3, -4, -5, -6, -113, -538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -468 * 7232\nAnswer: -3384576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dadaxxxadxx. Give prob of picking 1 d and 2 a.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -570*g = -602*g - 192. Let t(k) = -k**2 - 2*k - 9. Calculate t(g).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -w**4\/12 + 4*w**3\/3 - 5*w**2\/2 - w + 4. Calculate o(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/125162?\nAnswer: 3\/125162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 - 3*i - 2.\nAnswer: -(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43260, -86526, -129792, -173058?\nAnswer: -216324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 541\/8, -3\/4, 4 in descending order.\nAnswer: 541\/8, 4, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3\/4 - 15*a**2 - 25*a.\nAnswer: -5*a*(a + 2)*(a + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6 - 3)*(19*u - 2 + 6 - 3) + (2 - 4 + 3)*(-4*u + 3*u + 0*u).\nAnswer: 56*u + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*0.063246\nAnswer: 0.031623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/6 - 1339*x**2\/3 - 5006386*x\/3 + 4529020804.\nAnswer: (x - 2926)**2*(x + 3174)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2782)\/321*(-9)\/6.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**2 + 5*d**2 - 8*d**2 - 5*d**2 + 2*d**2 + 2*d**2 + (-1 + 3 - 4)*(2*d**2 - 3*d**2 - d**2) + 1281*d**2 - 885*d**2 - 1085*d**2.\nAnswer: -691*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f + 14. Let x be z(14). Suppose x = -4*c + 8*c. List the prime factors of 43*(1 - (0 + c)).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -2 - (-3 + 1 + 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -19. Let k = 36 - 35.7. Let c = k + -0.8. What is the closest to f in c, -4, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3104 (base 14) in base 9?\nAnswer: -12508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-95 - 152 + 68)*(2*t**5 - 6*t**5 + 2*t**5).\nAnswer: 358*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.3831 - 0.0629. Let y = p - -0.91. Let w = y + 0.63. Round w to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61b8 (base 16) to base 11\nAnswer: 17882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/2 of a year?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(162)*-2)*1.\nAnswer: -18*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 765869386 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.15 + 2.75. Let x = k + -2.60054. What is x rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36029.01ug to milligrams.\nAnswer: 36.02901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/2 - (0 - (0 + -7)). Let b(w) = -7*w - 20. Let i be b(g). Let s = i + -46. Solve 0*r = -s*r - 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 61*v + v**2 - 61*v. Let j(y) = -2*y. Give k(j(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fm when two letters picked without replacement from {f: 9, d: 7, m: 1, e: 1}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, 3, -4, 3503, -2.\nAnswer: -4, -2, 2, 3, 6, 3503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/20 and -77\/960.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 849585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 2499*w**5\/5 + 1359*w**2 + 91. Find the second derivative of q(o) wrt o.\nAnswer: 29988*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8173 - -8173. Which is smaller: l or -6.544?\nAnswer: -6.544","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -310 + 309.8. Which is greater: h or 222?\nAnswer: 222","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-4) + (-9)\/12. What is the closest to k in 2, 0.3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*m**2 + 55*m - 20.\nAnswer: -5*(m - 1)*(7*m - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 5*r - 3 = 0, -2*n - 3*n + 9 = 4*r for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 229036776 to the nearest integer?\nAnswer: 15134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 609494\/2123 + -214 - (-3)\/((-33)\/(-10))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63*p*t**2*w**2 - 2*p*t*w**3 + 5*p*t - 6*p + t**3*w**3 + t**3 wrt t?\nAnswer: -126*p*w**2 + 6*t*w**3 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (36 - 57)) + -69?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.04, -3, -4\/5, 230626, -0.2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/3 + 26*a\/3 - 35.\nAnswer: -(a - 21)*(a - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -20022201010012 (base 3) to base 13\nAnswer: -9084c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 51491481 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k + 4*k - k)*(6*k - 11*k - k - 1)*(-39*k - 96*k + 61*k) to the form v*k**2 + x*k + c*k**3 + l and give c.\nAnswer: 888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1487*-0.029.\nAnswer: 43.123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 27605057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - 4*i - 28, 5*g + 11*i - 41627 + 41779 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 143267344 a multiple of 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 68375 and 175?\nAnswer: 478625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20479338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**2\/7 + 24876228*s\/7 + 51568893292332\/7 = 0 for s.\nAnswer: -4146038","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than 1196360?\nAnswer: 1196359.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 10 + 14 = -3*v, 2*v + 8 = 0. Find the third derivative of 1 - 13*l**5 - 1 + 1830*l**2 - 1754*l**2 + 2*l**t wrt l.\nAnswer: -780*l**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**19\/l**(2\/75))**(-34))**17 assuming l is positive.\nAnswer: l**(-822494\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 6*k**2 + 2 + 1 - 2*k**2 - 2. Let r be f(1). Solve -11 = c + 2*j, 2*c = -c + r*j for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 75248, 75299, 75352, 75407?\n\"Answer: v**2 + 48*v + 75199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 10 = 5*i - 9 - 7, -i + 9*g = -84 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 y when four letters picked without replacement from mtydhmg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 1\/2737?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 7 - 6)*(4*l + 20 - 19 - 9).\nAnswer: -80*l + 160","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 74 and 38517?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8348, 16595, 24764, 32861, 40892?\nAnswer: 48863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 5:28 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 6*t - 1 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3264 divided by -8\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1183896 divided by 1944.\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v. Let a(g) be the first derivative of -11*g**3\/3 - 5*g**2\/2 + 12. Let b(h) = -72*h**2 - 32*h. Let u(t) = -32*a(t) + 5*b(t). What is l(u(o))?\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 17*y + 447 = 157*y. Put y, -11, -9, -5 in increasing order.\nAnswer: -11, -9, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3427 is divided by 235?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 + 156*y**2 + 162*y - 316.\nAnswer: -2*(y - 79)*(y - 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24336776?\nAnswer: 2, 1531, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(6*1*sqrt(117))\/(sqrt(36) - sqrt(36)*1 - sqrt(36)).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 0. Let w be (-26)\/(-26) - 3\/4. What is the nearest to m in 1\/5, -3\/8, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**2 + 349 - 7*z**2 + 345 - 1041 + 347.\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of y**5\/60 - y**4\/4 + 2*y**3\/3 + 2*y**2. Let m be t(6). Find the first derivative of 2 - h + h + 2*h**m wrt h.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50727\/13370 - 8\/955. Find the common denominator of d and 51\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of q**5\/60 + 3*q**4\/8 + q**3\/6 - 255*q**2. Determine j(-12).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 6*p - 5. Let c be i(2). Let q(x) = -12*x - 5. Let o(g) = -11*g - 4. Let m(r) = 4*o(r) - 3*q(r). Calculate m(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22929 + -337245?\nAnswer: -360174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 545*0.24.\nAnswer: 130.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p - 1000*p**2 + 2*p + 5159*p**2 + 22880*p**2.\nAnswer: 27039*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**2 + 3*o + 3. Let s(k) = -2*k**2 + 5*k - 2. Let q(y) = -7*y**2 + 21*y - 14. Let w(j) = -q(j) + 5*s(j). Give -4*m(h) + 3*w(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*g + 2. Let l(r) = 5*r - 10. Let b be l(4). Solve 2*t + b = -v, -g*v + 6*v - 4*t - 8 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of s**9\/252 - 181*s**6\/60 - 177*s**5\/20 + 489*s**2 + s. Find the third derivative of g(m) wrt m.\nAnswer: 240*m**3 - 2172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -225 + 219 - (2 + (1 - 10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 5, l: 7}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g - 22. Let u(t) = -t**2 - 83*t - 741. Let k be u(-73). Determine o(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 111 and -462.\nAnswer: -51282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.8839509 nanograms?\nAnswer: 0.0000000000000008839509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -725, -724, -723, -722?\n\"Answer: d - 726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 281320966?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*k + 206*k - 14976 = -173*k for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1429 at most as big as -1430?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/7)\/(m*m**7)*m**(-1)\/(m*m**(-5)*m)*((m**2*m)**27)**(-37) assuming m is positive.\nAnswer: m**(-21022\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7554360131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -k + 6. Let w be 9\/2 + 34\/68 + -1. Suppose 5*x - k*x - w*u + 3 = 0, -5*x + u = -12. Solve -p = x*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/5 in -0.12, 189, 525?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*w**2 + 5*w**2 + 2*w**2)*((-4 + 0 + 5)*(6*w - 2*w - 3*w) - w - 2*w - 3*w)*(0 + 2*w + 0) in the form t + z*w**3 + b*w + i*w**4 + f*w**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*j**4 - 2735*j**3 - 2858*j**2 + j - 9.\nAnswer: -120*j - 16410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 13209184*q**2\/13 + 618*q - 4\/13 = 0.\nAnswer: -1\/1072, 2\/6161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*t**2 + 5*t**2 + 3*t**2)*(2*t + t - t)*(-1 + 1 + 2*t + 2) - 19*t**4 - 26*t**4 + 18*t**4 in the form m*t**4 + j*t**3 + u*t + g*t**2 + z and give m.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -19*a**3 - 2*a**2 + 2. Let j be f(2). Let q = j + 271. What are the prime factors of q?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 454148051 and 133.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3089.\nAnswer: 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*p + 20 = 0. Is 4 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -687 + 686.5. Which is the fourth biggest value? (a) -1 (b) 3 (c) n (d) -1\/5 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24.654234 + 444\nAnswer: 468.654234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-147)\/42*(-240)\/(-40).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -3*t + 48. Let d be t\/24*27\/546. Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 5*j**2 + 12*j + 14. What is p(6)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3901589873 rounded to three dps?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 560 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**2 + 0*f**2 + 2*f**2 + (-6*f + f + 8*f)*(0*f + 2*f - f) + 3 - 3 + 7*f**2 - f**2 - f**2 + 4*f**2.\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of b**5\/20 + b**3\/6 + 9*b**2 - 73*b - 2. Determine k(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1131*i = n + 1133*i + 6, 7*i + 16 = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q - 2*q + q + q. Let z(l) be the first derivative of l**4\/12 - 3*l + 3. Let c(a) be the first derivative of z(a). Calculate h(c(v)).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133 divided by -1.\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 50 divided by 50\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1823285.89829 + 1823301. Let i = a + -15.1. What is i rounded to four dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1042*x**5 - 6*x**2 + 32*x?\nAnswer: -62520*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2695350, 5390852, 8086354, 10781856?\nAnswer: 13477358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2128 + 2124. Let q = 2 + -2. What is the closest to q in -0.1, 3\/7, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40241470 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Is 587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28 - 8 + 34*f**3 - 5 + 58 wrt f?\nAnswer: 102*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -20*l**3\/3 + 79. Let b(r) = -3*r**2. Determine j(b(d)).\nAnswer: -180*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 19*g + 19040 = 20*g, -5*z + 47574 = -4*g. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3559.68646 rounded to the nearest 10?\nAnswer: 3560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 45*o + 40*o = -50, 5*k = -3*o + 30 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 120\/21 - (-4)\/14. Suppose -4*m + m = -o. Suppose -14 = -0*w - m*w. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 3 - (-408 - -439)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a decade?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -957816 divided by -8?\nAnswer: 119727","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 76 + -75.869. Let m = -0.130999913 + k. Round m to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 6\/2 + -3 + 148. Let s = g + -76. What are the prime factors of s?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -37 - 13?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2685 + 2689. Solve 6*w + p*h + 14 = 5*w, 2*h = -4*w - 14 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-2)\/n)\/n)\/(n**(3\/7)*n)*n**6\/n**(1\/4))**32 assuming n is positive.\nAnswer: n**(296\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9237 and 1?\nAnswer: -9237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/(-160) - (10\/(-16))\/(-5). Let p(x) be the third derivative of 0 + 0*x**6 + w*x**4 - 7*x**2 + 0*x**3 + 0*x**5 - 1\/420*x**7 + 0*x. Factor p(z).\nAnswer: -z**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 12:54 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 10 = -5*l. Which is the closest to -2? (a) -2 (b) 3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12836.1 - -12836. Which is smaller: 0.0374 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101100 (base 2) to base 8.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-4))\/(7\/70). Suppose 4*v + g = -g + 20, b*v - 2*g = 16. What is the greatest common divisor of v and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of k**6\/360 + k**5\/60 - k**4\/8 - k**3\/2 - 3*k. Let v(s) be the second derivative of h(s). Determine v(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 32 = -y + 2*h, 0 = 4*y + 2*h + 64. Let m be (-3)\/((-36)\/y)*-3. Suppose 3*x = m - 19. Sort -4, x, 0 in increasing order.\nAnswer: x, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -414\nAnswer: -2\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 377611.8l to millilitres.\nAnswer: 377611800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is a7 (base 16) in base 15?\nAnswer: b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3035 + 12. What is h rounded to the nearest 100?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggac when four letters picked without replacement from {g: 4, c: 4, a: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**4\/7 + 129*y**3\/7 + 99*y**2 + 1011*y\/7 + 444\/7 = 0.\nAnswer: -37, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7 - 10) + (-54)\/(-15). Let h = n - 4\/5. Which is the closest to h? (a) -5 (b) 0 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1017 divided by 4?\nAnswer: -1017\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 0, 3 in descending order.\nAnswer: 19, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5*b + 2. Let f be m(2). Let a = -16 + f. What is the common denominator of -23\/40 and (93\/10 + a)*(-3)\/6?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.169*7532\nAnswer: -1272.908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 34311 minus -3.172604962?\nAnswer: 34314.172604962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -13.91 and -3.\nAnswer: -16.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y - 166. Determine v(40).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j**2 + 175*j + 2 - 998*j + 498*j to the form a*j + r + c*j**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 635 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 2004243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 n when four letters picked without replacement from {n: 5, i: 3}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 115 = -l. Suppose 4*x = 3*k - l, x = -k - k + 95. 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: Let v = -96 + 95.5. What is the nearest to 0.13 in -0.4, v, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*-1*100\/(-30)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-4)*(0 + 1). Let s = -1.3079 - 0.6921. What is the closest to 1\/4 in s, 7, n, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 - 30. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -6*v - 11. Let m(y) = -y - 2. Let g(w) = -11*m(w) + 2*n(w). Let s(l) = -6*l + 13. Let f(c) = -c + 2. Let u(o) = -39*f(o) + 6*s(o). Determine g(u(d)).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 162 = 3*l. Let f = -0.32 + 0.52. Sort l, -2\/7, f in descending order.\nAnswer: f, -2\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dcqd when four letters picked without replacement from qccqdcccqdqqcqd?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -78497\/19 < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 w, 1 i, and 1 m when four letters picked without replacement from liuailiiiwlmiiuiiu?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*g + 13, 4*x - 1 = g. Do x and -1\/12 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24739, -49577, -74433, -99313, -124223?\nAnswer: -149169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001100110101110110010100 - 1?\nAnswer: -1001100110101110110010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11 + -9746275?\nAnswer: -9746286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**4 - 2*m**3 + 2*m**3)*(0 + 0 + m) + (m**2 - 5*m**2 + 2*m**2)*(-m**3 + m**3 + m**3) - m**5 - m**3 + m**3.\nAnswer: -m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 7*t + 31\/20*t**5 + 0*t**3 + 0 + 0*t**4 - 15*t**2. Differentiate p(i) with respect to i.\nAnswer: 93*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 385585, 385533, 385471, 385399, 385317, 385225?\n\"Answer: -5*w**2 - 37*w + 385627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -9*u + 11. Let d(n) = n + 12. Let c be d(-12). Solve c = i + 4*v - 12, -8*i + u*i - v + 22 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5378 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 357*p + 14. Is o(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 924 and 48930?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 23527?\nAnswer: 23531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2 (b) -3 (c) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -235943 divided by 9?\nAnswer: -235943\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 31 - 2608786\nAnswer: -2608755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 961986, 961986, 961978, 961956, 961914?\n\"Answer: -k**3 + 2*k**2 + k + 961984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -134 - -58.2. Let r = p + 76. Let g = -0.9 - -1. What is the nearest to g in 3, r, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4564 divided by 1141?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(39)\/(sqrt(3) + sqrt(96)\/sqrt(2) + sqrt(3) + sqrt(3))*4.\nAnswer: -2 + 4*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 254601169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-40)\/4*(-126)\/28. What is the highest common factor of t and 465?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.3 (b) 2\/59 (c) 2\/7 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.016613135 rounded to four dps?\nAnswer: 0.0166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -292, -663, -1194, -1891, -2760, -3807?\nAnswer: -5038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/95 + 99\/190. Let p = 6 - 8. Let r be 2\/(-3) + 192\/234. What is the biggest value in o, p, r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 v, and 2 u when four letters picked without replacement from pupnunpuppppgnvnpgup?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 365 - 364.9311. Let v = r + -0.07. Round v to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 5*r - 5, -2*r = -a - 5*r + 11 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -272, -537, -802, -1061, -1308?\n\"Answer: v**3 - 6*v**2 - 254*v - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*w = -22*w - 12. Suppose 12*c = -w*c + 15. Does 15 divide (-31 - -97)*(c + (-3)\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19881899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 3\/419 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*c**3 - 2*c**3 - 2*c**3 + (-3*c - 4*c**2 + 3*c)*(-c + 0 + 0) in the form l*c**3 + v*c**2 + u + n*c and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, d: 2}. What is prob of sequence xd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9894 and 18?\nAnswer: 29682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - -5. Solve -c = 5, 2*l - 5*c = 15 + y for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 7:41 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/4 + (-1)\/4*-9719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.335 rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2352807 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1908199894.\nAnswer: 2, 8237, 115831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 20, -2*a - 41*z = -37*z - 568. Is -1 < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i*(i*i**(-26)*i)\/i))\/((i*i**(-19)\/i*i)\/i) assuming i is positive.\nAnswer: i**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 7:07 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 3*h - 337 = -102 - 112 - 100, s = h - 5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v - v**4 + v**4 - v**4 + 41*v**3 + 55*v**3 to n*v**4 + i*v + p + b*v**3 + r*v**2 and give b.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 0.358.\nAnswer: 0.0358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 53*b + 7. What is s(-1)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/6 + 248\/12. Suppose -a = -5*i, 0*g - 2*i - 4 = -4*g. Let m = -1090 - -1088. Sort -1, m, g in decreasing order.\nAnswer: g, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 4*k + k + 4*k.\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide (6*(-1)\/2)\/(3\/(-212))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, c: 2, b: 2, w: 7}. Give prob of picking 3 w.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -527603, -104 in decreasing order.\nAnswer: 4, -104, -527603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 3324.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1926 by 6.\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21034522 (base 8) in base 3?\nAnswer: 22102011020010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 5653950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 68?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 214530 (base 12) to base 5\nAnswer: 113313233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 349\/26 - 168\/13. Let n(s) be the first derivative of 0*s + 0*s**4 - 1\/6*s**6 + l*s**2 - 2 - 2\/5*s**5 + 2\/3*s**3. Factor n(v).\nAnswer: -v*(v - 1)*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -5*h - 385, -2*h - 237 = h - p. Let i = 81 + h. Let n = 23.5 + -24. Which is the closest to 0? (a) n (b) i (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 2.2195\nAnswer: -11.0975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/((-1)\/((-3)\/(-6))). Solve 0 = g*t + 17 - 2 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -5 + 7 - -1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 - -10. Let y be (12 + o)*6\/5. Suppose -r + y*r = -15, -s - 3 = 3*r. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5050490450 to the nearest integer?\nAnswer: 71067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/28 and -103\/2268.\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, f: 7, w: 2}. What is prob of sequence lf?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1176 = 56*o + 66*o - 24*o for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -224 - -54. Let o = z + 196. What is the remainder when 111 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 bigger than -259714?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46770, -46940, -47112, -47286, -47462?\nAnswer: -47640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 11*l = 64. Suppose 0*z + 3*z - c = 83, -2*c + l = z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23940 and -4?\nAnswer: -95760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 151632 and 5200.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/24 and 107\/336?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33913 is divided by 33710.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 312569 to the nearest one thousand.\nAnswer: 313000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-56)*-1048*(8\/(-24))\/(4\/6)?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 4*t = -6, 4*l - 9 = l - 3*t for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*b**4 + 51*b**4 - 10*b**4 - 26*b**4 + (-b - 2*b - 3*b)*(0 - 2*b**3 + 0) to x*b + n*b**2 + p + h*b**3 + t*b**4 and give t.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3052)\/(-10) - (-17)\/(-85). Let u = q - 215. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 + 18. Let n = v + 8.06. Let x = 3.06 - n. What is the closest to 0 in -5, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + sqrt(24)\/sqrt(8) + sqrt(3) + -3 + sqrt(48) - (sqrt(1200)\/sqrt(2))\/(sqrt(8) + (sqrt(56)*-2)\/sqrt(7))).\nAnswer: -33*sqrt(3) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 10\/9*u - 4\/9 - 4\/9*u**2 - 2\/9*u**5 + 8\/9*u**4 - 8\/9*u**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of 7*u**5\/60 - u**4\/12 - u**3\/6 - 8*u**2. What is the tens digit of b(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.027*689\nAnswer: -18.603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8326*u**2 + 13312 wrt u.\nAnswer: -16652*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -872*w**2 - 767*w**2 + 1580*w**2.\nAnswer: -59*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2 + sqrt(243)) + -3)**2.\nAnswer: -252*sqrt(3) + 1021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -6*u. Let o(y) = -2*y. Let m = -24 + 34. Let n(z) = m*o(z) - 3*w(z). Let q(l) = l**2. What is q(n(s))?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (1 - -6) + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rpjd when four letters picked without replacement from rodjpdg.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.274 + 0.224. Which is the smallest value? (a) -0.03 (b) o (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 196?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*i + 27*i + 1215 = 0. Is 14 a factor of ((-4)\/3)\/(10\/i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*t - 58, 2*t + r - 18 = t. Calculate the highest common factor of t and 448.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85445 and 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -302778 and 0.099.\nAnswer: -29975.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 580\/(-70) + 8 - 294\/1372.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*a - 197 = 0. What is the remainder when (-7)\/(-42) + a\/6 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -228*m - 13. Is c(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 b, and 1 x when three letters picked without replacement from lwbbbylxb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 7*l - 5. Let t be f(1). Let j = -2 + 5. Sort j, t, -4 in decreasing order.\nAnswer: j, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102 = 20*r + 38 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/3 - 2\/(-3). Suppose -5*p - 4 = o. Suppose 10*z - 36 = -6. Sort z, p, 0.\nAnswer: p, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1862408?\nAnswer: 2, 232801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 52\/5 of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 1\/6 (c) 0.091 (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1\/5)\/h)\/h**15)\/(h**12\/(h*h**(-2\/27))) assuming h is positive.\nAnswer: h**(-3547\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13\/6 - 11\/6. Let o = 68 - 74. Let x be 12\/4*-4*(-2)\/o. Which is the nearest to -1\/2? (a) j (b) x (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 6) to base 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 11, 8, 2 in descending order.\nAnswer: 11, 8, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/204 and -77\/846532.\nAnswer: 2539596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 37*j - 190. What is n(-31)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/(-105) - ((-60)\/(-18) - 3)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of 9*g**5\/20 + 13*g**4\/12 + 5*g**3\/6 - 5*g**2\/2 - 402*g. Let h(k) = 5*k**3 + 6*k**2 + 3*k - 3. Give 3*a(x) - 5*h(x).\nAnswer: 2*x**3 + 9*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + sqrt(19) + (sqrt(38)*-2)\/sqrt(2)).\nAnswer: -12 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m + 6. Suppose -3*q + 0*q - 5*u + 23 = 0, -u - 29 = -5*q. What is i(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75*i**3 + 45*i**3 - 60*i**2 - 121*i**3 to the form c*i + r + w*i**2 + x*i**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/3*2\/21)\/(5\/20)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8125283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 0 + (-2 + 1 + 2)*(-5 + 2 + 5))*(0 + 86 + 134)*(3 - q - 3)*(2*q - 2*q + 2*q) to the form r*q + d*q**2 + h and give d.\nAnswer: 440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v + 2. Let d be t(2). Let h(s) = -2800001*s + 6. Let o be h(d). Let f be o\/(3 + 1) - 3. What is f rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*w + 11*w - 244*w = 63*w - 31944 for w.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -74 + 78. Let c(p) be the third derivative of 0*p + 0*p**d + 0*p**3 - 1\/30*p**5 + 0 - 2*p**2. Factor c(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**3 + 9 + p**3 - 6*p + 12*p**2 - 5*p**2. Let d be f(6). Let q be 141\/4 + d\/(-36). Calculate the greatest common factor of q and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2. Let c(k) be the first derivative of -6*k**2 + 2. What is q(c(j))?\nAnswer: 288*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 10) + (-80 - -98) + 26 + -5.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*n - 5*n - 3*n + (-n - 2 + 2)*(3 + 1 + 5 - 1 - 1 + 1 + (1 - 1 + 1)*(0 - 4 + 3)) to l + m*n and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4\/19)*(l\/(l\/((l*l\/(l\/(l*(l\/(l**(-5\/11)*l*l))\/l))*l)\/l)))\/l)\/((l\/((l*l**(-2\/39))\/l))\/(l*l\/(l**(-1\/40)\/l))) assuming l is positive.\nAnswer: l**(397031\/326040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6324?\nAnswer: 2, 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*o = -95*o + 19292. Is o a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 78.1941 litres in millilitres?\nAnswer: 78194.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 711247.1 years?\nAnswer: 8534965.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 3445 = -38*w. Calculate the highest common factor of w and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6797*-1.16.\nAnswer: -7884.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4 = 4*o, -2*o + 3*o + 101 = -4*r. Let q = -10 - r. Is 3 + 7\/(q\/580) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 3*k = 5*j + 25, 15 = 5*k. Solve 18 = j*t + t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 163, 605, 1317, 2281, 3479, 4893, 6505?\nAnswer: 8297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/2 + 3819*i - 7644.\nAnswer: 3*(i - 2)*(i + 2548)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -91577.\nAnswer: -91573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1512713002 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 1 + 5 = 0. Let h(p) be the third derivative of -p**5\/60 - 3*p**4\/8 - 5*p**3\/3 - 2*p**2. Let y be h(-7). Solve 0*u - u + y = 4*l, 0 = l - o for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.04 (b) -1\/19 (c) -0.2 (d) -0.03 (e) 1\/4 (f) 2843\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + (sqrt(12)\/(sqrt(6) + sqrt(24)) - sqrt(32)) + 3) + 5.\nAnswer: -11 + 22*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -1349*a**3 + 4*a**2 + 7*a + 43. Is o(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -2, 8, 618, 47.\nAnswer: -2, 0, 3, 8, 47, 618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*r**2 - 140*r - 800 = 0. Calculate r.\nAnswer: -4, 40\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 870.47 + -563.6. Round q to the nearest integer.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {g: 7, r: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**2 - 22*d. Let v(o) = 8*o. Determine k(v(g)).\nAnswer: -128*g**2 - 176*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 7:51 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14ec2 - -5?\nAnswer: 14ec7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**2. Let c(s) = 6*s**2 - 2*s**2 + 0*s**2 + 10*s**2. Determine c(g(y)).\nAnswer: 126*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8*(-57 + -4 + 3). Which is greater: r or -463?\nAnswer: -463","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*u - 268 + 789 - 266 - 291 - 11767*u**2 - 13*u wrt u?\nAnswer: -23534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -2*d + 2, -3*x - 29 = 5*d + 8 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.9, -3\/43, 4, 1\/14?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -412, -407, -410, -427, -464, -527, -622, -755?\nAnswer: -932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1012\/99 + (-4)\/18. Solve 3*q = 3*l + 9, 2*l = 4*q - 0*q - p for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1212991219?\nAnswer: 11, 31, 1049, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/43 and 1\/3.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 21*v + 1 + 3 + 3*v + 14*v - 2.\nAnswer: -4*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 12. What is the lowest common multiple of 2\/(-1) - (-4 - 2) and -3 + (0 - h) + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2f - -33?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274*d + 10851780 = 66*d. What are the prime factors of d?\nAnswer: 3, 10639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 119*m**3*w**4 - 2*m**3*w**2 - 3*m**3 - 18*m**2*w**2 + m**2 + m*w**3 + 2*w**4 - 5*w**3 wrt w.\nAnswer: 2856*m**3*w + 6*m + 48*w - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 84*m - 145*m - 5 + m**2 + 72*m. Calculate s(-5).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-8 + 2 + 0)) + -6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -124\/7, 2\/11, -2\/33?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u + 18. Calculate w(7).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (14 - 4) - 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/((196\/245)\/(6\/5)). Let c = 0.36 + -0.46. What is the nearest to w in 3\/4, -4, c, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1423.650683 rounded to the nearest 10?\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4 = 5*x - 0, -3*i = -4*x - 40. Let k(h) = 2*h**2 + 2*h. Let r be k(-3). What is the highest common factor of r and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-164424)\/(-15) + 6)\/(11\/((-220)\/(-8)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (30 - 4)*(-335)\/10. Let d = c + 873. What is u in 1\/4*u**d + u + 1 = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 (base 10) in base 13?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -263a0d - -4?\nAnswer: -263a09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -5*j**2 + 351*j. Let p(f) = -11*f**2 + 706*f. Give 7*m(o) - 3*p(o).\nAnswer: -2*o**2 + 339*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.09 - 13.91. Let i = x - -14.2. Which is the second biggest value? (a) i (b) -1\/5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/5, -0.2, -14, -0.13, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2006 and 1427524?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gkkkgkgkkggkgkkggg. What is prob of picking 2 g?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*z - i, -3*z - i - 3 = -4. Suppose -z*g = -4*u - 0*u - 2, 0 = -5*u + g - 1. Which is the nearest to u? (a) -5 (b) -4\/7 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -157*p**3 + 9*p**2 - 5*p - 7. Let d be s(-2). What is the highest common divisor of d and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (65\/1365)\/(1\/(-3))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62125 is divided by 72.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.016991440586 to 4 decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91705.\nAnswer: 5, 18341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.065 and -51.\nAnswer: 3.315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 1:28 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (72\/(-30))\/(-6) - (-3332)\/(-16410)*2. Is -1 at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267*z**3 + 4106 - 4106 + 234*z**3.\nAnswer: -33*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -10, -141\/61, -1, 0.15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of c**7\/84 - c**6\/10 + 7*c**5\/20 - 2*c**4\/3 + 3*c**3\/4 - c**2\/2 - 3*c. Factor g(r).\nAnswer: (r - 2)*(r - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*p - 25*p - p**3 - 20*p + 7 - 4*p**3 + p**4 + 248*p**2 - 5 in the form y*p**3 + t + k*p + i*p**2 + g*p**4 and give i.\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 7*p + 4. Let f be x(-6). Does 8 divide (1 - -19) + (-4)\/f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*t**2 - 11*t**2 - 2*t - 4*t**2 + 2*t**3 + 0*t**3 to o*t + i + j*t**3 + p*t**2 and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 814\/(-4) + -8 + (-105)\/(-14). Let p = -202 - k. Solve -b = -p*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1353 + 1386. Solve 5*w - o = -4*k, 5*w + 4*k = -k + 35 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 171378 and 234.\nAnswer: 2227914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 1)*3 + 23. Let q(b) = -10*b. Let o be q(-3). Calculate the greatest common factor of o and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -298 (base 15) to base 5\nAnswer: -4333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 + 4290966*o - 4603097303289.\nAnswer: -(o - 2145483)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b. Let i(k) = -31*k - 2. Determine h(i(o)).\nAnswer: -93*o - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -2*a - 0*d, 5*a - 18 = -4*d. Suppose -a*c + 4 + 2 = 0. Let z(k) = -k**3 + k**2 + 2*k + 1. What is z(c)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/3261 - 1061\/42393. Which is the nearest to -2\/9? (a) r (b) -1\/4 (c) 1\/6 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(50) + sqrt(50) + 2) - sqrt(50) - sqrt(50))**2 - (sqrt(800) + -2)**2 - (sqrt(50) + sqrt(250)\/sqrt(5) + -3)**2*-4) + 1.\nAnswer: -80*sqrt(2) + 837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 0. Let k(s) = 0*s**3 - 31*s - 9 + s**3 + 5 + 36*s + 6*s**2. Let z be k(f). What is the biggest value in z, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -7*b**2 + b. Let m be d(1). Let l = m + -1. Let c be (l\/4)\/(((-44)\/16)\/11). Solve 0 = -5*h - 8 - c for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -281, 260676 in decreasing order.\nAnswer: 260676, 3, -281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**2 - 2640*h + 301644 = 0. What is h?\nAnswer: 147, 513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40.29 + 0.29. Let g = j + 75. Let y = 37 - g. Is y > 0.11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 5:56 AM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o + 2. Let u(r) = -r**2 - 9*r - 17. Let n be u(-6). Calculate a(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 370, 769, 1186, 1621, 2074?\n\"Answer: 9*t**2 + 372*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-5 + 3*((1*sqrt(171)*6 - sqrt(171)) + ((sqrt(171) + 0)*3 - sqrt(171)))**2)*1 + 3)*-1.\nAnswer: -100531","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 1370.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1153 + -191?\nAnswer: -1344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -l**6\/120 - l**5\/10 - l**4\/12 - l**3\/6 - 4*l**2. Let j be z(-6). Solve b = 2, j*u + 6 = 6*u - 2*b for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7637774 divided by -1\nAnswer: 7637774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**14\/(z*z*z*z*z\/(z**(-6\/11)*z*z)*z))\/(z**(2\/11)\/z)**(14\/9) assuming z is positive.\nAnswer: z**(118\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-25 - -11) - -1 - (0 + -1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 10*p + p + 5 + 0*p - 17. Let h be (-18)\/42*(-4 + 11). Let b(j) = -j + 1. Let v(o) = h*w(o) - 6*b(o). What is the derivative of v(x) wrt x?\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 139 or 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3087632732.\nAnswer: 2, 771908183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**3 + 190359*k**2 - 15399150*k - 15589512 = 0. What is k?\nAnswer: -1, 82, 63372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 657, -0.1023, 0.07 in increasing order.\nAnswer: -0.1023, 0.07, 657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 u, and 1 n when three letters picked without replacement from {n: 2, r: 1, x: 2, z: 1, g: 3, u: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39\/(-3))\/(-182)*4.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 192 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -20*f + 9. Determine z(4).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3531 - 18318.048?\nAnswer: -14787.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 427\/5 + 4\/(-10). Suppose 0 = c - 2*a + 58, 4*c - 5*a + y = -138. Let k = 80 + c. Is k a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -2*c**5\/15 + 5*c**4\/6 - 14*c**3\/9 + c**2 + 453. Factor q(r).\nAnswer: -2*r*(r - 3)*(r - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28375 + -128375. Round k to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-5)*(-125)\/25*21365 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228103053 to the power of 1\/5, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -81, -72, -61, -48, -33, -16, 3?\n\"Answer: k**2 + 6*k - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*t**2 + 15 + 2*t**5 - t**4 + 20*t**2 + 311*t**3 - 5*t**2 - 255*t**3 wrt t?\nAnswer: 120*t**2 - 24*t + 336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -20, -3*f - 3*h + 20 = f. Suppose 0 = i - 2*t - f, -5*i + 2*t + 1 = -7. Solve 5*m + i*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.127256 to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1210 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(-2))**(-1\/5))**(3\/5))**(-2\/43) assuming r is positive.\nAnswer: r**(18\/1075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134413 - 8001 = 1859*h for h.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 421160\/(-120) - 2\/6. Round w to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 11*f + 5. Let c be l(6). Let s = -52 - -12. Let k = c + s. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-4\/7)\/(m\/(m*m*m**4*m))*m\/m**(-2\/7)*m\/(((m\/m**5)\/m)\/m*m*m) assuming m is positive.\nAnswer: m**(82\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2 + -4 - -41 - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/190264 and -35\/697.\nAnswer: 7800824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(225))\/sqrt(5)*-6 + -5 + -5*(1*sqrt(180) + sqrt(90)\/sqrt(2) + sqrt(5)))**2.\nAnswer: 140*sqrt(5) + 1005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of a**5\/180 - 115*a**4\/72 + 113*a**3\/9 + 511*a**2. Factor i(g).\nAnswer: (g - 113)*(g - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26349*i - 113 + 113.\nAnswer: -26349*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -88 + 174. List the prime factors of t.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -0 + 28. Let m(h) = h**3 + 7*h**2 - 2*h + 8. What is the remainder when m(a) is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5214040, 20856262, 46926626, 83425126, 130351756, 187706510, 255489382, 333700366?\nAnswer: 422339456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160\/7 + 2\/7*d**4 + 32\/7*d**3 + 144\/7*d**2 + 256\/7*d = 0. Calculate d.\nAnswer: -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 219462*a**3*l**2 - 8*a**2*l**2 - 12*l**2 + 12*l wrt a.\nAnswer: 1316772*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 520 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 + (-372588)\/(-61) + 0 + -7. What is the greatest common divisor of s and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7715 and 200156417?\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.05 + -11.45. Let y = 11 + o. Let z = 0.1 - 0. Which is the nearest to z? (a) 0 (b) 4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1114, -1138, -1198, -1312, -1498, -1774, -2158?\n\"Answer: -3*r**3 - 3*r - 1108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -138 - -139. What is the third biggest value in f, 3, 5\/11?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 688*l - 54 = 691*l - 4*g, -2*g + 42 = 6*l. Suppose 8\/3*t - 2\/3*t**3 - 5*t**l + 0 = 0. Calculate t.\nAnswer: -8, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6140 divided by 4\nAnswer: 1535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7 + -4*18\/24*-2. Let g(t) = 67*t**2 - t - 2. What is g(j)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 5*x - 32, 5*u - 4*x = -1 - 0. Suppose -4*j = -3*c + 2, 2*c = u*j + j. Suppose 3*n - 75 = -w, -100 = -4*n + w - c*w. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 22*d + 123. Let c be x(11). Solve k + 7*h - 12 = 3*h, 4*h - 24 = c*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 316247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - -6)\/(4\/130). Suppose -f = -6*f + d. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7554 = 311*b + 3474 - 2009 for b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -85109, -170226, -255343, -340460, -425577?\n\"Answer: -85117*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiiipiipi. What is prob of picking 3 i?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 34 + 41. Let g = 27 - u. Suppose g*c - v + 2*v = 34, -3*v = -2*c + 26. What is the remainder when c is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 376*q**2*z**5 - q**2*z**2 + 26*q**2*z + 430*q**2 + 231*q*z**5 wrt z.\nAnswer: 22560*q**2*z**2 + 13860*q*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1026266 - 3?\nAnswer: 1026263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 3. Let z = 23 - 22. Let c be ((-3)\/z)\/((-6)\/(-3) + -1). Which is greater: c or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/6 + 1\/(-2). Suppose 2*z + 0*z - 10 = -c*r, -5*z + 3*r = -1. Suppose z*q - 7 = -2*j - j, 4 = -4*j. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2713*m + 2713*m - 13*m**3.\nAnswer: -13*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-6 - -12) + -3 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaatataagwjggtjaa. What is prob of picking 1 a and 1 w?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 10, 27, 62, 121?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/sqrt(3)*-3)\/(sqrt(72)\/sqrt(6)*5).\nAnswer: -3*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 425a + 1?\nAnswer: 4260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide -4 + (-38)\/(-10) - 606\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a - 2. Let z be (-4)\/(-14) - (-36)\/(-126). Suppose -4*u - 5*q = -2*u - 97, z = -5*u - 2*q + 211. Suppose 39*o = u*o. Determine k(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 170118611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18838353?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 44*o**3 + 13*o**2 + 14*o + 8. Let i(u) = 29*u**3 + 8*u**2 + 9*u + 5. Give -8*i(x) + 5*j(x).\nAnswer: -12*x**3 + x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8322 + 8715. What is the remainder when h is divided by 124?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 2:59 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + (-242)\/(-8) - (-4)\/(-16). Let v = -24 + q. Sort v, -5, -4.\nAnswer: -5, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**0*v)**(9\/2))**25)**(1\/14) assuming v is positive.\nAnswer: v**(225\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3003645628.\nAnswer: 2, 19, 71, 29297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 103742 or 103741?\nAnswer: 103742","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*s + 4*x + 96, -2*x - 110 = -4*s. Suppose -2*p = -3*v + 226, -3*v + 119 = -v + 5*p. Calculate the remainder when v is divided by s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a + 6. Let w be d(-8). Which is bigger: -5\/3 or w?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47.1 * 0.3\nAnswer: 14.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 194936 or 2?\nAnswer: 194936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11.54 and 182.986?\nAnswer: 2111.65844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2.680883 centuries?\nAnswer: 26.80883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 g when three letters picked without replacement from {p: 1, g: 2, m: 2, o: 1, i: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2266 divided by -2.\nAnswer: -1133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 265.5186 decades to years.\nAnswer: 2655.186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2 + 89*b - 46. Let r be z(45). List the prime factors of (-13)\/(r\/1925) + 2*2.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + g = 12, 3*u = 5*u + 5*g + 28. Find the common denominator of (-16)\/(-4) - 106\/u and -85\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*b - 19 = -57 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5753, 11504, 17255, 23006, 28757, 34508?\nAnswer: 40259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 114\/(-21) - (5 - 10). Let q = 8 - 8.05. Let x = -1.05 - q. Which is the biggest value? (a) -10 (b) i (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34) + -1*sqrt(68)\/sqrt(2) + sqrt(34) - sqrt(34))\/(sqrt(162) - sqrt(162)*2)*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 13 = 2*c, -5*p - 2*c + 16 + 11 = 0. Suppose 25 = p*w - 0*w. Suppose -2*m + 8 = -3*m - 3*f, -5*m = -w*f - 40. Solve -l + 5*l - m = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 20 + 20 - 25*s - 53 + 13 - 2*s**2. Let b(w) = 46*w. Determine d(b(g)).\nAnswer: -4232*g**2 - 1150*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 - 47 = -33*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 512 and 464?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + z - a + 29 = 0, 4*a = z - 3. Suppose 0 = -z*r - 3*r + 53510. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) -3\/5 (c) 1 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29*w**4 + 8 - 8 + (-6*w + 20 - 20)*(w**3 + 2*w**3 - 2*w**3).\nAnswer: -35*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/6 (b) 4 (c) 5 (d) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3332186 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42813724913.00000131 - -42813725091. Let j = t + -178. What is j rounded to seven decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -52784 in increasing order.\nAnswer: -52784, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + ((sqrt(171) + 5*sqrt(171)*4)*2)\/(sqrt(72)\/(sqrt(80)\/sqrt(10)*-2))).\nAnswer: -6 + 252*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 47355 = 5720. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -780994*c**2 - 1334 + 1335 - 287641*c**2 - 744420*c**2 - 106272*c**2.\nAnswer: -1919327*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 260 = 2*a. Let y = -143 + 165. Calculate the remainder when a is divided by y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 d when four letters picked without replacement from {q: 2, r: 5, d: 3, u: 3}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5\/21 - 23\/21. Let d = 43\/49 + n. Is 0 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3243708, -6487413, -9731118?\nAnswer: -12974823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 3*a - 2. Let k be m(2). Let x = 16 - 14. Suppose x*h - 3*h = -2*c + 9, -5*c + 4*h + 24 = 0. Solve k = -3*b - 9, -4*o + c = -b - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 3*u - 6. Let k be a(7). Let q = -73 + 77. Solve 4*j + q*z - 12 = 0, -z + k = 5*j - 3*z for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -i - 3 + 15, 5*o - 8 = i. Suppose -5*v - m = -o*v + 2, -3*v + 2 = -m. Solve 5*f + 5*k + 15 = v, -f - 4*k - 14 = 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/310 and 143\/744.\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22753760?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10211990?\nAnswer: 2, 5, 1021199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 24*j**2 - 1000*j - 22290. Determine d(-21).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4*z - 109, -4*z - 67*a + 139 = -64*a. Suppose -2*y + 10 = -2*k, 4*y - 5*k = 15 + 7. Calculate the remainder when (-1 + 4)*122\/y is divided by z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.06 - 67.06. Let v = x - -67.4. Which is the nearest to -4? (a) v (b) -4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5687806*v**3 - 6769245*v wrt v.\nAnswer: -34126836*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -572, -4574, -15462, -36686, -71696, -123942?\n\"Answer: -575*g**3 + 7*g**2 + 2*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 + -0.33. Let w = d + 0.05. Let v = 0.3 - w. What is v rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 107898.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5460 and 25844?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**3 - 6618*j**2 + 4725504*j - 968597504 = 0?\nAnswer: 448, 2413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 623638336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10b1b + -d?\nAnswer: 10b0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (234\/405)\/(8\/20). Let m(v) be the second derivative of 8\/3*v**2 + 0 + 2\/45*v**6 + 8\/3*v**3 + 2\/5*v**5 + f*v**4 + v. Factor m(j).\nAnswer: 4*(j + 1)**2*(j + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -12121?\nAnswer: -12125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 43 = -4*j + 5*c, -c = -4*j + 33. Solve -2*m + 25 = -5*d, 3 = 3*m + j*d - 3*d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 146841 and 8?\nAnswer: 1174728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30313122202 (base 4) to base 10.\nAnswer: 3372706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (144\/(-63))\/((-47)\/658)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + s = -9, -i + s + 3*s = -16. Is (-3 + 1)\/(i\/1670) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 l when four letters picked without replacement from {k: 4, n: 6, l: 3}?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 590 - 146 = 5*o, 3*k + 175 = 2*o. Calculate the remainder when o is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12850?\nAnswer: 2, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3*(sqrt(72) + sqrt(72)*2)\/sqrt(4) - 3*(sqrt(20) - -4*(sqrt(80) + sqrt(20)))\/sqrt(10))**2.\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r + r**3 - 5*r**2 + 3 + 2*r - 3*r**3. Let d be l(-4). Let y = d + -27. Solve 1 = 5*w - y for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 5, 10, 3 in increasing order.\nAnswer: -3, 1, 3, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2187965.4 months?\nAnswer: 182330.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l - 163*l - 11118 = 27*l + 22*l for l.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42018 + -30917. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-17)\/(-5) + -3)*450. Suppose -3*m = -621 + q. Is 18 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -8*c**6\/135 - 11*c**5\/45 - 7*c**4\/18 - 8*c**3\/27 - c**2\/9 - c - 58. Find t such that r(t) = 0.\nAnswer: -1, -1\/2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 1)*(-4*c + 2*c + 29*c)*(-4 + 6 + 2).\nAnswer: 324*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.3, 20, -11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1548464019?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -89*g*t**3*x**2 - 2*g*t**2*x - 10*g*t*x**3 - g*t*x - 126*t**3*x**3 + 461*t*x**3 wrt t.\nAnswer: -534*g*x**2 - 756*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-1\/3))\/t*t**(-4)*t)**(7\/3))**(-2\/65) assuming t is positive.\nAnswer: t**(112\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 6 = -6. Let v be ((-1)\/(-3))\/((-14)\/s). Let j = -2397778\/11 - -217980. Which is the nearest to v? (a) -0.2 (b) j (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 647 a factor of 34932824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -736 + 782 - (4 + -1).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 344757 = -185*v + 206*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-30) - (-46)\/10. Let p(r) = -20*r**3 + 372*r**2 - 9*r + 5. Let z(x) = 7*x**3 - 131*x**2 + 3*x - 2. Let v(t) = 6*p(t) + 17*z(t). What is v(o)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 4*b - 5*z + 81620, 5*b + 2*z = -81655. Is (-1)\/(-4 - b\/4083) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -10211, 3, 30, -5, -3 in ascending order.\nAnswer: -10211, -5, -4, -3, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/7 - 429\/(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -206 + 7*q - 110*q**4 - 2*q - 5*q + 759*q**4 wrt q.\nAnswer: 2596*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 17\/2 of a gram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*m = 3*q + 59*m + 287, 0 = 5*q - m + 467. Let p be 15*(-2 + (-128)\/(-10)). Let x = p + q. List the prime factors of x.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 4*p + 7. Suppose -p*c - 6 = -16. Let h(s) = -s**2 - 2*s + 4. Calculate the remainder when c is divided by h(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m**2 - m - 8. Let x be h(-2). Let k be x*((-6)\/5 - -2). Suppose -q + k*q = 140. Calculate the highest common divisor of 10 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -5*j - 1\/24*j**4 + 9 + 1\/12*j**3 + 1\/2*j**2. Let t(r) be the first derivative of i(r). Solve t(s) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - -1 - (5 - 1 - -3 - 12) - -8.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/4))**(-32\/9)*l**(-3)*l*l*l**7*(l\/l**1)**19*(l**(-1\/3))**50 assuming l is positive.\nAnswer: l**(-88\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4.4+465.1\nAnswer: 460.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38198 is divided by 2505?\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 50338470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - q - 12 = 0. Suppose 0 = 9*o - q*o + 12. Suppose 6*b = 2*b. Sort b, o, -4.\nAnswer: -4, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 283\/2 + -146. Is -5 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/26710320 and 19\/37394448.\nAnswer: 186972240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**4 + p**2 + p + 1. Let d(a) = a**4 - 4*a**2 - 4*a + 3. Let l(m) = d(m) + 4*n(m). Find the first derivative of l(s) wrt s.\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*b**2 - 123 + 123.\nAnswer: 21*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.53 (b) -0.4 (c) 1 (d) -3776\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 21 = 3*i, -9 = -0*i + 2*i + p. Let a be (-3 + 1)*3\/2. Let y be 3*(i\/a - -1). Solve -2*v + 4*u + y + 9 = 0, -2*v + 2*u = -4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 11:23 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 90622773 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(2\/3)*d)\/d*d**(-3\/4))**(-36) assuming d is positive.\nAnswer: d**(-69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -39, -531, -1865, -4455, -8715, -15059?\n\"Answer: -69*r**3 - 7*r**2 + 12*r + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1173*s**2 - 2933*s**2 - 274*s**2 + 12 + 5*s**3 + 4*s**3.\nAnswer: 9*s**3 - 4380*s**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 41294736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**2 - 2*c**4 + c**2 + (1 - 3 - 3)*(c**3 + c**2 - c**2)*(3 - 3 - 3*c) in the form s*c**4 + p*c**2 + q + z*c**3 + j*c and give s.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 87761251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a factor of 250162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**5\/4 - 45*d**4 - 843*d**3\/4 - 495*d**2\/2 = 0. Calculate d.\nAnswer: -55, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 24 = -5*x. Suppose -4*v = -5*q - 16, v + 5 = 5*q - x. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -14*u + 225. Calculate a(15).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 5 + 0)*(0 + 1 - 3)*(0*p - 19*p - 13*p) to the form o + g*p and give g.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 519, -16, -3 in descending order.\nAnswer: 519, 0.1, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 571 - 480. What is the greatest common divisor of d and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -2 - ((5 - 16) + -1) - -16?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (7 - -8) - -9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3528 (base 11) to base 2.\nAnswer: 1001000010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.39 to the nearest integer.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h + 5*m + 15, 2*h - 47*m + 45*m - 14 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 27 + 39. Solve -2*p = -g*p, 5*q = -4*p - 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/2)\/(-1 + 2). Suppose -3*h - h = 12. Sort h, c, 1 in increasing order.\nAnswer: h, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 11. Suppose 5*j + z = 3*z + 223, 5*z = -a*j + 109. Suppose k - j = -0*k. What are the prime factors of k?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 5*f - 0 + 1, -5*d = 3*f + 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8cba (base 14) in base 2?\nAnswer: -101111110010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 249032 to the power of 1\/2, to the nearest integer?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(13) - (sqrt(13) + 1)) + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 1253680972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-140)\/(-104) + (-3)\/2. Which is the second biggest value? (a) 0.3 (b) -4 (c) 0.1 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r + 5*r + 0*r + (0 + 1 + 0)*(0*r + 0*r + r) - 3 - 13*r + 3 + (-6 + 3 + 4)*(0 + 0 - r).\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3338.9998848 + -3339. What is a rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((sqrt(280)*1)\/sqrt(8) + sqrt(35))\/(sqrt(7) - sqrt(343)*-2))**2.\nAnswer: -176\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 373392 and 5440114?\nAnswer: 5186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 110.4902244 + -16.4902281. Let p = -94 + k. Round p to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111010100000 (base 2) to base 14\nAnswer: 1516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qccqqzgquq. Give prob of picking 1 u, 1 q, and 2 c.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5*3\/(0 - -3). Suppose -2*o - z - 1 = 0. Let w = -761 - -765. Put o, w, 5 in increasing order.\nAnswer: o, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13734 > 192257\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**3 - 18*h**3 + 18*h**3 - 12*h**3 + 7*h**2 as w*h + l*h**3 + j + a*h**2 and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hd when two letters picked without replacement from {h: 1, b: 4, k: 5, d: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m**3 - 1. Let l be z(-1). Let p = 39427 - 39421. Which is greater: p or l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241513?\nAnswer: 241513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -20*s + 2309. Is w(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cn when two letters picked without replacement from {t: 15, n: 2, c: 3}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 80168 or 80167?\nAnswer: 80167","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is 9440 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: Which is the sixth smallest value? (a) 31 (b) -3 (c) 4\/3 (d) 3 (e) 2 (f) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - ((-24 - 5) + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4167140 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17646 and 408?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 340 + 5?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-10)*10\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4456, 9380, 14314, 19264, 24236, 29236, 34270?\n\"Answer: w**3 - w**2 + 4920*w - 464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -560 - -969. Suppose 2*g + 6 - 2 = 0, -5*k = -2*g - x. Suppose 12 = -3*s + k. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 7*f**2 - 24*f - 18. Determine z(6).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*x = 73*x + 2*g - 24, -3*x - 2 = -g for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by -502\nAnswer: -15\/502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 12*b**3 - 12*b**2 + 4*b - 6. Let j(c) = -2*c + 3 + 1 + 2 + 6*c**2 - 3 + 1426*c**3 - 1431*c**3. Let v(q) = 5*j(q) + 2*t(q). Determine v(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 2 = 2*p - 4*g, -4*g - 5 = -5*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 137\/29318*107*(-4)\/(-5).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 - -20. Let z = y + 6. Let t = 2.99985 + z. Round t to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24382493 is divided by 97?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 59118650999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(54)\/sqrt(6)*2 + sqrt(54)\/sqrt(6)*3)\/((2*sqrt(243)*-3 - sqrt(243)) + (sqrt(243) - 1*sqrt(243) - sqrt(243))*-2))**2.\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u + 8. What is x(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**4 + a**3 + a + 22*a**2 + 2*a**4 - 1 - 21*a**2 in the form p*a**3 + m + x*a + v*a**2 + q*a**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -26001334.77 rounded to the nearest 1000000?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t. Let s be r(-3). Let y = s + -5. Suppose 2*z = y*z - 8. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -299552 divided by -88.\nAnswer: 3404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 639 - 634. Solve -l = -3 - 2, 4*c - 5*l + b = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5 (b) 1 (c) -0.42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a - 4*a - 5*a - 1. Let t be u(1). Let q = 11 + t. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1802 rounded to 2 dps?\nAnswer: 1.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 21 (b) -0.08 (c) -0.3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-9 - -36) + (-2)\/(-30)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2491*d - 225258 - 61182 = 482*d - 2083*d for d.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 664513?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + ((-15)\/5 - -5). Solve -h + 4 = -g*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65839800 rounded to the nearest one million?\nAnswer: -66000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -90 + 90. Suppose -4*h + 294 = -l*h - 2*d, -5*d + 214 = 3*h. Is 48 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n + 2. Let c(y) = -y**2 + 1. Give -3*c(o) + w(o).\nAnswer: 3*o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -6*c - 98. Which is bigger: c or -1\/555?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 680000*s**3 - s**2 + 2*s - 1. Let x(v) = v - 3. Let k be x(4). Let n be a(k). What is n rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 531 times 317?\nAnswer: 168327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7619, -15269, -22939, -30629?\n\"Answer: -10*z**2 - 7620*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + 2 + -1 + -1. Let s = 8 + -27. Is 2\/(17\/s + a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 31*y + 108 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*b**3 - 8*b**2 + 7*b**3 - 2*b**2 + (-3*b - 2*b + 4*b)*(-b**2 + 2*b**2 + b**2).\nAnswer: -5*b**3 - 10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (98*(-56)\/2352)\/(-14)*1\/(-18)*-4.\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c - 10. Let i(p) = -1. Let m(o) = 4*i(o) - v(o). Let d be m(-3). Solve d*h - h = -8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 213908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/12, -1\/2, -163, 3\/4, 2.5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 - 527836?\nAnswer: -527676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 310003*o - 18. Let n be k(6). What is n rounded to the nearest 100000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 132 and 1040.\nAnswer: 34320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*r + 0*r - 3*r + 2)*(-4*r**3 + r**3 + 0*r**3) to the form j*r + t + n*r**2 + k*r**3 + d*r**4 and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 2121418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*r**3 - 1118*r**2 - 1 + 1 + 31*r**3.\nAnswer: -7*r**3 - 1118*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3558 divided by -2.\nAnswer: 1779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -t + 8, 95 = 5*t + 10*f - 11*f. Suppose t*v - 17*v = 557. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 4*n**2. Suppose 2*q - 5*c = -2 - 5, 0 = 2*q + 5*c - 3. Let h be i(q). Is 26 a factor of h\/16 - 103\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008 less than 40351.413263?\nAnswer: 40351.405263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9481 and -0.1.\nAnswer: -948.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - h + 8*h)*(-1 + 2 + 0)*(3 - 1 - 4)*(-h - h - 2*h).\nAnswer: 40*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -6. Let u(n) = -8 + 2*n + a. Let v(r) = -r**2 - 2*r. Let y(p) = p. Let q(j) = v(j) + 2*y(j). What is u(q(t))?\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 - 9*n - 84. Let l(c) = -c**2 + 12*c + 80. Let r(z) = 3*l(z) + 2*x(z). Factor r(o).\nAnswer: (o + 6)*(o + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 13 (b) 0 (c) 7 (d) -0.251 (e) 1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*w = -184*w - 58*w - 4329 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*b + 26*b - 4 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = u + 6, 2*f + 5 = -3*u. Suppose 0 = -f*g + 3*m + 156 + 30, 0 = 2*m + 4. Does 6 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1290 = -1292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 207923, 415830, 623737, 831644, 1039551?\n\"Answer: 207907*n + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1518.088 to the nearest integer.\nAnswer: -1518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*c + 1914 = 339 for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 141 + -174. Let o be ((-39)\/(-4))\/(u\/22). Does -8 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -38 and 1.1395.\nAnswer: -43.301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -289*o**3 - 780*o**3 + 2197 - 2197.\nAnswer: -1069*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20.992 - -0.992. Sort c, -5, 10 in increasing order.\nAnswer: c, -5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mwwm when four letters picked without replacement from {w: 3, m: 15}.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.297501 rounded to 0 decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-21663)\/(-13584) + (4 - 6). Let v = w + 8\/849. Let x = -56863\/16 - -3551. Find the common denominator of x and v.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/8, -1\/2, -1\/4, 5\/4, 1\/270?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-8))**(1\/50))**(14\/13) assuming o is positive.\nAnswer: o**(-56\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 + 37112*x - 74240.\nAnswer: 4*(x - 2)*(x + 9280)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.08523 centuries in millennia?\nAnswer: 2.208523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-81)\/18*(-32)\/216?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 912 (base 10) in base 6?\nAnswer: 4120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 674432.\nAnswer: 2697728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 63 = 57. Let d = 38 - u. Suppose m + 3*m = -f + 50, -5*m - 4*f + d = 0. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65 (base 8) to base 15.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3970 times 189\nAnswer: 750330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from gggggggugggggggguuu?\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 53048 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4208 + 4222. Calculate the remainder when 74 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 102, 365, 880, 1731, 3002, 4777?\nAnswer: 7140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -31208, -31207, -31206, -31205?\n\"Answer: s - 31209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0*n + 5 = 0. Let k(v) = v**2 + 6*v + 3. Let g be k(n). Is 10 a factor of 21\/2 + 1\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4079382943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56581, -56580, -56579, -56578?\nAnswer: -56577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23\/((-2300)\/(-80)))\/((-2)\/40).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.377 - 8.477. What is the third smallest value in 7\/6, 1, d, 3, 4?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 2588.\nAnswer: 5176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -823\/8 - -103. Factor -q*b**2 + 3\/8*b**3 - 3\/8*b + 1\/4 - 1\/8*b**4.\nAnswer: -(b - 2)*(b - 1)**2*(b + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 2*a**2 + 6*a - 2*a**3 + 6 + 1\/4*a**4. Calculate s(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 33*k**2 - k + 1. Let c(n) = -n**3 + 7*n**2 + 10*n - 15. Let q be c(8). What is the units digit of t(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -6*s**3 + s**2. Let y be j(-1). Suppose -4*o + y*o = 510. Suppose -5*v + o = -0*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -135.5714 to 0 dps.\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and -143515474?\nAnswer: 143515473.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 122812 + 3?\nAnswer: 122815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppqp when four letters picked without replacement from {p: 5, q: 9}.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 y when two letters picked without replacement from {b: 1, j: 2, y: 1, m: 1, g: 5}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 6*p**2 + 4*p - 1. What are the prime factors of m(-3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23152667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-365*v - 35*v + 378*v - 347*v - 1199*v)*(-2 - 3 + 6).\nAnswer: -1568*v","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) -0.08 (c) -1 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of f**3\/3 - 3*f**2\/2 - 4*f + 2. Give c(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.08275685 and -0.5.\nAnswer: -2.58275685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from gppggggggpp?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109284891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l + 1. Let b(a) = -a**3 + 7*a**2 - 7*a - 11. Let s be b(5). Give j(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1022*x = 158*x - 11232 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 2*p**2 + 2. Determine n(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/4 of a decade?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/300*35\/(-91)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1409*o + 1044*o - 2190 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101001000110010100100111 + 11?\nAnswer: -10101001000110010100100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - 7*u - 222, -6*s + 4639*u + 150 = 4635*u for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 21265*q + 63790. Calculate g(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 112\/21*3*2. Suppose l*p = 30*p + 6. What is the greatest common divisor of 4 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1314*j = -1385*j + 284. Solve 0 = -w - 5*t + 15 + j, 0 = 2*w - 4*t + 18 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2406 a factor of 685454964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a hour in minutes?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 260\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114637 divided by 29.\nAnswer: 3953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b - 2*b + 0*b + (-4*b + 4*b + b)*(-1 + 0 + 2))*(-5*b**2 + 2*b**2 + 4*b**2)*(-14 - 6 + 2).\nAnswer: 90*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 13*k**2 - 22*k - 9. What is w(-11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1153591 + -1153601.00042. Let h = -2 + 12. Let b = h + j. Round b to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 2816?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 10*k**2 + 9*k - 5. Let z be t(-9). Let o(x) = -32*x + 10. What are the prime factors of o(z)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 7. Let s be ((-1)\/(-2))\/(1\/b). Which is greater: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7 + 0.4. Let r = -8960\/42669 - 58\/4741. Which is the nearest to -2? (a) 2\/5 (b) -1 (c) v (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 11\/5 (c) -5\/3 (d) -0.5 (e) -0.1 (f) 4128\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 2*q + 22, 210*b - 207*b + 5*q + 28 = -29 + 28 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22791 divided by -7597?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 15?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/6*10\/(-100).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 1, 3 in ascending order.\nAnswer: 1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127596\/(-4704) - 18\/(-16).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2161694509 to the nearest integer?\nAnswer: 1293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(130) - sqrt(130)*-1)*4 - (sqrt(130)*1*6 + sqrt(130)))\/(2*(2*sqrt(360) + sqrt(360) + sqrt(360))))**2.\nAnswer: 13\/2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 20 = y. Let k(q) = y - 17*q - 4 + 28*q. Let l(h) = 3*h**2 - 4*h - 4. Let n(p) = p**2 - p - 1. Let c(g) = l(g) - 4*n(g). Calculate c(k(d)).\nAnswer: -121*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 8 + 60 - 38*p**2 - 68. Let k(m) = 11*m - 3. Let d(q) = 20*q - 5. Let i(g) = -3*d(g) + 5*k(g). Calculate n(i(y)).\nAnswer: -950*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1017476 by -5.\nAnswer: 1017476\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1782790.\nAnswer: 2, 5, 17, 10487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 492, 1714, -2 in ascending order.\nAnswer: -2, 492, 1714","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 248 and 2914?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 392 and 112.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -13*t**2. Let x(n) = -79810215*n. Give p(x(c)).\nAnswer: -82805715438500925*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + a**2 - 4*a + 4. Determine h(4).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*r**2 + 0*r**2 + 4*r**2)*(7*r**2 + 52 - 52) as j*r**3 + w + t*r**4 + s*r**2 + p*r and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/((g**5\/g)\/g))\/(g*g**(-2\/7)))\/(g**(-2\/13)\/((g*g\/(g**5*g))\/g)))\/((g\/(g\/(g**(2\/5)\/g)))**44)**48 assuming g is positive.\nAnswer: g**(573136\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001362329 rounded to four decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + i = z + 3, 5*i + 15 = -z. Suppose 0 = 4*t - 4*p - 4, z*p - 35 = -4*t - t. Let y = t - 3. Solve d - 4 = -y for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -654*w**2 + 658*w**2 + 4*w + 7*w**3 + 15*w**3 + 4*w**4 wrt w?\nAnswer: 96*w + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4180 - 3750. What is the greatest common factor of j and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 194726?\nAnswer: 194725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, t: 13, c: 3}. Give prob of sequence tcpc.\nAnswer: 13\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y + 7. What is k(10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 42251 and 42234 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.81028ng to milligrams.\nAnswer: 0.00002181028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 8:33 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.134 - 1.134. Let z be (-4)\/(-6)*(-4)\/6. Is z less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 509374 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**5*i)\/i)\/i)\/i*i*i**(-9))**36 assuming i is positive.\nAnswer: i**(-180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 12*f**2 - 11*f + 4. Let v be d(-11). Suppose -v*q = -3*q - 64. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/3)\/y**(-2\/9))\/(y*y*y\/y**(1\/4))**(-45))\/(((y\/y**(1\/6))\/y)\/y**(2\/7))**33 assuming y is positive.\nAnswer: y**(35171\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 925 is divided by 229.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*sqrt(209)*4 - (-2*sqrt(209) + sqrt(209))*2)\/((sqrt(539) - -2*sqrt(539))*-1).\nAnswer: 2*sqrt(19)\/21 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 372*h**3 + h**2 + h + 2. Let x be k(-1). Let o = 380 + x. Is o equal to 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jcv when three letters picked without replacement from {c: 4, v: 1, e: 5, j: 5}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and (29 - (0 + 1))\/((-4)\/(-2))?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 105888 = -3*c - 3*n, -c - 5*n = -35304. Suppose -c = 5*w - 19*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*t - 3 = -j, -4*t = -j - 2. Let o(s) = s**2 + 3 + j - 4 - s**3 + 3*s. Is 2 a factor of o(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**5 - 7*q**5 + 3*q**5 + (5*q**5 - 4*q**5 - 3*q**5)*(-2 + 2 + 1) + q**5 - 3*q**5 + q**5 + 184020 - 554*q**5 - 184020.\nAnswer: -559*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 313 + -300. Suppose 6*o - o + 3*l = k, 0 = -3*o + 4*l + 31. Which is the second biggest value? (a) 1\/10 (b) -0.025 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 3*c = -9, -118*o - 9 = -115*o + 3*c for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 14. Suppose b + d*b = 72. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.02 - -0.28. Let d = 3.6 + 0.4. Which is the closest to -1? (a) -2 (b) g (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 276 - -202?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 124*d = -18*d - 1944 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6981.513 micrograms to grams.\nAnswer: 0.006981513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - (-1 - 7 - -3). Suppose j*k = 3*k + 8. Let l = k + 11. Solve -20 = l*s + 2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8861 is divided by 2204?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-105))\/((-40)\/25)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2618, -2579, -2536, -2483, -2414, -2323, -2204?\n\"Answer: y**3 - 4*y**2 + 44*y - 2659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 - 39 = -7*w. Calculate the highest common factor of w and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f + 47. Let l be j(-10). Suppose 4*m = m - 15, 0 = 3*q - 4*m - l. Is q greater than or equal to 1\/230?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 44452531000?\nAnswer: 44452531003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6255493.\nAnswer: 41, 271, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4*1\/5)\/(34\/(-85)). Let o be (k - 6)\/4*21 - -2. Let u = -17 - o. Solve -r = u*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -424 + 228.8. Let w = 195 + j. Sort 9, w, 0.4 in decreasing order.\nAnswer: 9, 0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.9 + 4.7. Let i = 18 - 16.6. Let o = u + i. What is the third biggest value in 4\/5, -2, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -x**3\/3 - 3*x**2 + x. Let h be p(-5). Suppose -h*r + 209 - 49 = 0. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -2*f + 1 + 53, 70*m = 75*m - 4*f + 121 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/135 or -1?\nAnswer: -2\/135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2316)\/(-156) - 39) + (-8)\/(-52)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/3, -4, 63\/40, 0.2, -2\/7, 0.07, -5?\nAnswer: 63\/40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 1 = -d, -2*d + 0*w - 2*w = 10. Let u = -23220 - -23219.9. What is the nearest to 0 in d, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 22 + -13 + -10\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + -16. Solve -l*x - 31 = 4*j, 5*j + x = j - 19 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 + 2*r**3 + r**3)*(15 - 18 + 13).\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 k when four letters picked without replacement from tttkytykytuttktuutku?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -81*l - 123 + 147 - 1563 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 75 + -86. What is the closest to g in 0.4, -2\/9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/2*16\/10. Suppose -2*l + 4*y = -18, y - w*y - 17 = -2*l. Let d be 3 - 0 - (l - 0). Which is greater: d or -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 254 + -743. Let o = -320 - h. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -3*g**2 + 0*g + 0 + 0*g**3 - 1\/8*g**4. Let d(u) = 0*u**2 + 4*u**2 - 3*u**2. Give c(d(i)).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 79915.\nAnswer: 79915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-163)\/23961*245)\/((-5)\/(-24)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8369350216?\nAnswer: 2, 23, 677, 67187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 20 = -4*h, 4*h + 56 = 5*s + 48. Does 56 divide 1\/((-1)\/h) + (1068 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-39 + 39 - 5*f**2)*(-f**2 - 18*f**2 - 2*f**2) + 0*f**4 - 2*f**4 - f**4 to the form n*f**4 + q*f**2 + t*f**3 + i*f + k and give n.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u**2 - 1. Let y(v) = 4*v + 15. Let i be y(-4). Give p(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349 is divided by 45?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*p + 2*b - 48 = 17*p, 20 = 3*p - 4*b for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 589*v = 1211*v - 736*v + 9006 for v.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26608.\nAnswer: 2, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1499 is divided by 161?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 0*k - k)*(-2 + 1 - 1) + (-1 + 4 - 1)*(2*k - 1 + 1) - k + 4*k - 5*k - 2*k + 4*k - 3*k - 2*k + 3*k + k.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 + 46 + -1 + 1 + (1 - 10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(3\/4)\/(k*k**(-2)))\/(k**(-2\/7))**(26\/7))\/(k\/(k*(k**(-2)*k)\/k)*k\/(k*k**(-3\/2)))**36 assuming k is positive.\nAnswer: k**(-24145\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**2*j\/(j\/(((j*j**(4\/23))\/j)\/j)))**(-29))**6 assuming j is positive.\nAnswer: j**(-4698\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -37688 (base 11) to base 4\nAnswer: -31030232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 7 - 1 - 3 - 3 + 4 + (3 + 0 - 1)*(-3 + 0 + 5) + 2 - 1 + 0 + 0 + 0 + 1)*(16 - 27*u + 6 - 21) in the form i*u + l and give i.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.63 - -0.11. Let w = l + 0.02. Sort -3, w, 0.2.\nAnswer: -3, w, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15183542 = -66*r - 3427820. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-241)\/(-10) - (-294)\/735 and -14\/7739?\nAnswer: 15478","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 2*s - 2*s - s**2 - 2*s**2 - s**3 - 36. What is the smallest common multiple of y(-5) and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-6)*(-32 - (-1786)\/57)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 4, 0.4, -0.14, -4\/3 in decreasing order.\nAnswer: 4, 0.4, -0.14, -4\/3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-156 - 2*c + 156)*(2 - 1 - 3).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 448524 - -3?\nAnswer: 448527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 2*b - 0. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2849, 5703, 8555, 11405?\nAnswer: 14253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 x when three letters picked without replacement from {i: 4, n: 1, l: 7, x: 1, b: 2}?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1243 + 1243.001556. What is h rounded to 4 decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1851779484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x + 4. Let q be j(-3). Is q smaller than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 53.1 (b) -69 (c) -0.3 (d) 3 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 156 and 8.6896647.\nAnswer: 164.6896647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 41665 and 74997?\nAnswer: 374985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36327135 to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2850 and 65132.\nAnswer: 4884900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 17. Suppose -10 = 4*l - i*u - 0, 2*l - 5*u = -10. Factor 3 + 3*a**3 + 2*a - 5*a**3 - 2*a**2 + l*a - 1.\nAnswer: -2*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34492, -34486, -34480, -34474?\nAnswer: -34468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3734 != -3723?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3968490 and 264566?\nAnswer: 3968490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9160*a**4 + a**2 - 1122983*a wrt a?\nAnswer: -109920*a**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 7*l - k - 4691, 3*k = -15. Which is smaller: l or 1564?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1130 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5885504 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, m: 1, g: 2, d: 2}. What is 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: Calculate ((-136)\/(-68))\/(2\/(-8)*-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10404 - 0?\nAnswer: -10404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 157.31 - 156. Let k = g + -1.01. Is -15 smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**4 + 3084*u**3 - 12288*u**2 + 12272*u.\nAnswer: -4*u*(u - 767)*(u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 5*m + 5, -8 = r + 3*m - 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**19*s\/s**17*s**(-6\/17)\/(s\/s**(1\/6)) assuming s is positive.\nAnswer: s**(185\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2781*a + 1445*a + 5134*a + 7610*a + 1590*a + 859*a + (a - 1 + 1)*(4 + 0 - 3).\nAnswer: 19420*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x = 25588 - 27332 for x.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 100001110 (base 2) in base 15?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -886.6 - -887. Which is the nearest to 2? (a) l (b) 0 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25613 or -1121?\nAnswer: -1121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12600, -50353, -113260, -201321, -314536, -452905?\nAnswer: -616428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 18 = 11*i. Let t be i\/10 - 318\/5. Let n be ((-9)\/t)\/((-1)\/(-7)). Which is the closest to n? (a) 0 (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i**2 + 27*i - 50. Determine d(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -673\/176 - -35\/16. Let q = n + 3\/22. Put 0, q, 2, -3\/5 in descending order.\nAnswer: 2, 0, -3\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1653 at least -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -462 and -450 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 divided by 2.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - v + 6. Let w(t) = t**3 + 3*t**2 - 11*t - 5. Let q be w(-5). Give i(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22788, -3, 8.\nAnswer: -3, 8, 22788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 10169128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0043*0.2.\nAnswer: 0.00086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -2. Let h(g) = g**3 - 3*g**2 - 6*g + 8. Let p be h(b). Let k = -11 + 6. Sort p, k, -4 in descending order.\nAnswer: p, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91\/(-546)*210\/(-45).\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -1173*v**2 + v. Let c be u(-1). Let b be (-12)\/54 + c\/(-18). Let q = 91 - b. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y = -2*y + 240. Let b = y + -10. Suppose 77 = -b*r + 227. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235903 is divided by 132?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*(-405)\/36*-1)\/(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 0 + 1\/25*h**5 - 1\/15*h**3 + 0*h**2 + 0*h**4 - 1\/105*h**7 + 0*h**6 - 2*h. Determine a, given that s(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (5 + -14)) + 1 + -1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 12873 - 12873 - 9*j. Let q(u) = -3*u**2 + 22*u. What is q(a(r))?\nAnswer: -243*r**2 - 198*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 + 18*z - 20. Let v be t(-10). Suppose -s + 1064 = 4*w, 4*s + 0*s - 16 = v. List the prime factors of w.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16625 - 3?\nAnswer: 16622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of k**3\/2 + 9*k**2\/2 + k + 18. Determine o(-9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67647211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2760 - -49729\/18. Find the common denominator of 73\/10 and g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 7. Let w = -2310 - -2308. Sort 1\/4, r, 2, w in ascending order.\nAnswer: r, w, 1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -373574 - 25?\nAnswer: -373599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 23, 44, 65, 86, 107?\n\"Answer: 21*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 s when two letters picked without replacement from cccccscccccscccccscc?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446 is divided by 143?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 90*o**4 - 84*o**3 - 86*o**2 - 16*o.\nAnswer: 2*o*(3*o + 1)**2*(5*o - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, t: 8, w: 4, o: 2}. What is prob of sequence to?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 7*x - 2*x = -53, -a + 5*x = -29. What is the greatest common divisor of a and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 99, 5, 4, 1 in ascending order.\nAnswer: -6, 1, 4, 5, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(120) + sqrt(120)*2))\/(sqrt(12)\/sqrt(2)*4).\nAnswer: 9*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2983694, -5967360, -8950994, -11934584, -14918118, -17901584?\nAnswer: -20884970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(2) + (1*sqrt(20))\/sqrt(10) - sqrt(14)\/(sqrt(7) - sqrt(7)*2))*1.\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**4*l - f**4 - 6*f**2 + 7*f*l - f + 2*l wrt f.\nAnswer: 12*f**2*l - 12*f**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 9684 divided by 1614\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -4. Let m(f) be the first derivative of f**3 - 2*f + 6. Let j be m(c). Calculate the greatest common factor of j and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.85*0.42776.\nAnswer: 0.363596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssjvjccsjjssc. What is prob of sequence jss?\nAnswer: 20\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -12*(-12)\/(-18) - (0 - 1). Are i and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 623210 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 1898013 - 1898013 - 3306*z in the form n*z + v and give n.\nAnswer: -3306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 111055 and 19285.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 2 - 3 + 2. Let z be m(1). Suppose z*h + 7 + 1 = 0. Let s(d) = -d**3 - 5*d**2 - 4*d - 3. Give s(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -92.9 smaller than -5\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1)*v)**(-40))**(-5\/2) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 divided by -35?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.38 - 0.14. Let d = x - 0.2439. What is d rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 131*k - 135*k + 20. Which is bigger: k or 60\/17?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -76545, -154022, -231499, -308976, -386453?\n\"Answer: -77477*w + 932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63 - 62.9999838. Round y to 6 dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -6*z + 33. Put 3, z, -3 in decreasing order.\nAnswer: z, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -286*a**2*r**3 - 3*a**2*r + 1490*a**2 - 48*a*r**3 wrt r?\nAnswer: -1716*a**2*r - 288*a*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 414?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 10*j**3 - 6*j**2 + 5*j + 7. Let d(n) = 9*n**3 - 4*n**2 + 4*n + 6. Let t(f) = 5*d(f) - 4*s(f). Let m(l) = l**3 + l**2 + 1. Calculate 2*m(c) - t(c).\nAnswer: -3*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -239579 and -1.316.\nAnswer: 315285.964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 147306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*g + 3*g + 4*g + g**5 + (0*g + 0*g + g**4)*(-13*g - 5 + 5).\nAnswer: -12*g**5 - 9*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 313, 453, 607, 781, 981, 1213, 1483, 1797?\n\"Answer: q**3 + q**2 + 130*q + 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -155.9 - -156. Let m = 6.85 - 7. Let u = -61 + 58. Which is the biggest value? (a) m (b) n (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 16. Let n(p) = -2*p - 160. What is q(n(a))?\nAnswer: 4*a**2 + 640*a + 25616","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -423 + -3251?\nAnswer: -4004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = x - 3*n + 7, -2*n - 42 = 5*x. What is x rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -57\/25*f**5 - 16\/5*f + 34\/5*f**4 - 1 + 8*f**2 - 152\/15*f**3 + 3\/10*f**6. Solve v(w) = 0 for w.\nAnswer: 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2145 and 1560?\nAnswer: 17160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 635903439?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**5 - 9*h**4*u + 140*h**2*u + 26*h*u + 180*h + 2*u wrt h?\nAnswer: 40*h**3 - 108*h**2*u + 280*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 229, 1, 9, -1, -3.\nAnswer: -3, -1, 1, 9, 229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(3\/2))\/q)\/q*q)**(-23\/5)*q**13*q**29 assuming q is positive.\nAnswer: q**(489\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 2)*(114*r - 4*r - 314*r - 510*r - 530*r).\nAnswer: -6220*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 382*p**3 - 308*p**3 + 0.\nAnswer: 74*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**6*v**(-2))\/((v*v**(-1\/2))\/v**1))\/(v**5*v\/(v*v*((v\/v**2*v)\/v)\/v)*(v**1)**(-3\/44)) assuming v is positive.\nAnswer: v**(-547\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jfrfhuxxrhxr. Give prob of sequence xjr.\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-3 - (-5 + 5 + 0)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 37 = -5*j, -2*j + 2*k = -4*j + 2. Solve 0 = 3*c - 3*l + 9, l - 16 = j*c - 3*l for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1191, -2393, -3597, -4803?\nAnswer: -6011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(17) + 4 - (sqrt(17) + sqrt(136)\/sqrt(72)) - (6*(-2*sqrt(153) - sqrt(153)))\/(-1*sqrt(144)))**2 + -3.\nAnswer: -232*sqrt(17)\/3 + 16493\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 - 35.3. Let i = 0.13 - 0.53. Which is the second smallest value? (a) q (b) i (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5283143\/7 or -754735?\nAnswer: -5283143\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 225.7 (b) -0.2 (c) -0.3 (d) 0 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 3. Factor -3 + 4*c**5 - 2*c**5 + 15*c - r*c**5 + 30*c**3 - 15*c**4 + 4*c**5 - 30*c**2.\nAnswer: 3*(c - 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -5, 0.3, 0.15, 0.5?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - ((1 - (9 - 5)) + 6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of r**5\/120 + r**4\/6 - 19*r**3\/3 - 21. Let m(s) be the third derivative of k(s). Let i = -133 - -129. Calculate m(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c7d - 4?\nAnswer: c79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l**4\/3 - 7*l**3 - 476*l**2\/3 + 292*l + 9520\/3 = 0. What is l?\nAnswer: -14, -4, 5, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 292*q + 631*q + 271*q - 395*q as i*q + t and give i.\nAnswer: 799","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 684.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*u**3 - 211 - 2*u**2 + 426 - 211 to the form y*u + q*u**3 + h + v*u**2 and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 - -34. Suppose -a*t = -28 + 12. Suppose 0 = -t*s - 99 + 467. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-16\/5)*l*(l\/(l*l\/(l*((l**17*l)\/l)\/l)))\/l)\/(((l*l**(7\/6)*l)\/l)\/(l\/l**(-36))) assuming l is positive.\nAnswer: l**(1429\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 731*d - 358*d - 370*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 (base 11) in base 7?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**4\/5 + 3*a**3\/5 + 13*a**2\/5 - 3*a = 0.\nAnswer: -3, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4\/3)*n)**(-1\/61) assuming n is positive.\nAnswer: n**(1\/183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 209\/2*u**2 - 264*u + 118. What is the derivative of p(d) wrt d?\nAnswer: 209","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 16864362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5*i = -22, 0 = 4*p + 2*i + i + 3. Suppose w = l - 11, -5*l = p*w - 5 - 10. Is 6 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - (-12)\/(-2))\/2. Let n = 3.1 + -3. What is the nearest to n in 0.3, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 27?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + d + 204. What is g(15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d - 5*c = 856 - 879, 4*d = -3*c + 14 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.33 + 114.3?\nAnswer: 114.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.4 (b) 14\/223 (c) -0.1 (d) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -72 + -5?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 1. Let g(k) = -21*k. Let h be g(p). Let w = h + -17. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 131508?\nAnswer: 1446588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 20*l + 25. Let x be j(19). Let r(s) = -520*s**3 + 9*s**2 + s - 10. Let b be r(x). What is b rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2881 and 0.3221?\nAnswer: -927.9701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 98\/69?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 159081 = -d - d, -4*c = -4*d - 636308. Let q = c - 12407947\/78. Let z = q - -15\/26. Which is smaller: z or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00075329128 rounded to 5 dps?\nAnswer: -0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -106556.55489 + 106556. Round f to three decimal places.\nAnswer: -0.555","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**3 + 2475*g**2 - 509229*g - 511707 = 0.\nAnswer: -1, 413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/5 - 546\/(-15). Let z = d + -6. Let w be (1\/(-2))\/(z\/12). What is the closest to 1 in -4, w, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2376.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4 - 2*t - 8*t - 3. Let x be i(-1). Let r = 23 - x. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100 + 10000101000100?\nAnswer: 10000100101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/7*f**2 - 96 - 172\/7*f.\nAnswer: -(f + 4)*(f + 168)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + w**2 + w - 3. Let l be u(0). Let s(v) = 2*v - 2. Let c(z) = z - z - z + 0. Let p(x) = l*c(x) - s(x). Differentiate p(o) with respect to o.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 s when three letters picked without replacement from fsfnn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21124.\nAnswer: 2, 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/2 (b) 1\/3 (c) -14 (d) 61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.01 + 0.41. Let n = -22785\/2 + 156211\/14. Let p = n - -235. Which is the third smallest value? (a) p (b) -1\/3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-3)\/o**(-5) assuming o is positive.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8242 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4180913 + 32*j - 4180913.\nAnswer: 32*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 62020290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3*(-2*sqrt(1500))\/(-1*sqrt(10)\/sqrt(2))*3)**2.\nAnswer: 97204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, 4, 276 in descending order.\nAnswer: 276, 4, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 5:04 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 495412.3 weeks?\nAnswer: 299625359040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 1 = -2*n. Let s(w) = 2*w + 11. Let y be s(n). Solve 0 = v + 3, -i = 2*i - 2*v + y for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*h**2 + 38*h**2 + 25*h**2.\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22315447*y + 2184 = 22315369*y for y.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12260 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -205 - -273. Let g(l) = -80*l**3 - 2*l**2 + 1. Let u be g(-1). Let x = u - c. What is the least common multiple of x and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-4))\/((-24)\/80)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/(-63)*1\/(-4)*-196. Sort 13, -1, h, 4 in ascending order.\nAnswer: -1, 4, h, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 2*o + 4, 173*g - 177*g = 4*o + 24 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-50 - (-146 + 23)) + -38\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 2, -5\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011762203 rounded to five decimal places?\nAnswer: 0.01176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 11 + 0)*(-4 + 4 - 2)*(21*p + 75*p - 42*p)*(-p + p - 3*p)*(-2*p + 2*p**2 + 2*p) as f*p**3 + q*p**2 + l*p + t*p**4 + v and give t.\nAnswer: 7776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a kilometer in meters?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaw when three letters picked without replacement from {e: 1, a: 10, l: 2, w: 7}?\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 242 - 238. Suppose 2*m - 2*i - 12 = 0, -2*i - 12 = -4*m + 10. Solve m*d = n*p + 15, 5 = -2*p + d + 4*d for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68398329?\nAnswer: 3, 22799443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -136.28 - -132. Let v = 1.28 + q. Let o = -2 + 0. Which is the closest to 2? (a) o (b) v (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -181*q + 194*q - 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -90, -12 in increasing order.\nAnswer: -90, -12, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6, -11, -12, -3, 22, 69, 144?\n\"Answer: p**3 - 4*p**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/6*(0 - 3). Let d = 0.1 + 0.9. Which is the closest to d? (a) v (b) -5\/3 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2025253 (base 6) to base 9\nAnswer: -157156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -27*l - 48. Let y be o(-17). Let q = y + -223. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6894*k + 4408 = -6662*k for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*i - 24700*i**3 - 20*i - 6*i**2 + 5*i + 24703*i**3 in the form q + r*i**2 + g*i + d*i**3 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -1111111100110101001?\nAnswer: 1111111100110101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147153605?\nAnswer: 5, 83, 354587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-10 - 7 - -8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -825*w**3 - 885 - 1010 - 2040 + 748*w**3.\nAnswer: -77*w**3 - 3935","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 - 10*z**2 - 6*z + 18.\nAnswer: -2*(z - 1)*(z + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000181 rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 19906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.4758956 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1061?\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2120\/189 - 78\/7. Sort t, -2, 0.3 in decreasing order.\nAnswer: 0.3, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, y: 4, p: 4}. Give prob of picking 1 w and 3 y.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*r**2 - 16*r**2 + 2*r**2 + 31*r wrt r?\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o = -989 - 3561. Suppose 20*v - 7*v = o. What is the remainder when 166 is divided by v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -s**6\/24 + s**5\/60 - s**4\/24 - s**3\/6 + 15*s**2\/2 + 11. Let k(f) be the second derivative of n(f). What is k(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gxgu when four letters picked without replacement from {g: 2, r: 2, x: 1, u: 1}?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -418418*l**3 + 209*l**2 + 769*l wrt l?\nAnswer: -2510508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 6)*(-w**5 - w**2 + w**2) - 3*w**5 + 2*w**5 + 3*w**5 - 3*w**4 - 2*w**5 + 3*w**4.\nAnswer: 2*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**2 - 64 + 17*n - 15*n - 2*n**2.\nAnswer: n**2 + 2*n - 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 157*j - 296. Let q be b(2). What is the highest common factor of 81 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.79466965 * 1.\nAnswer: 1.79466965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 24466885.\nAnswer: 48933770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16679, -16656, -16631, -16604?\nAnswer: -16575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13115.597 + -6.403. Let a = y - -13030.961. Let x = -91 - a. Round x to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -5*x - h, 2*x + 4*h - 931 = -923 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7639562582 and -4.2.\nAnswer: 7639562577.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4744639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 39080, 78156, 117232, 156308, 195384, 234460?\n\"Answer: 39076*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -232*m + 2. Let l(o) = 3*o**2 - 11*o - 81. Let y be l(-4). Let x(u) = -47*u + 6. Let p(h) = -86*h + 11. Let n(q) = y*x(q) - 6*p(q). Give n(b(j)).\nAnswer: 232*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-12)*(0 + 202). Let l = 66 - q. Which is the biggest value? (a) -4 (b) -2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-1\/3))**(2\/7)\/(j**9\/(j*j*j**11*j)))**(7\/12) assuming j is positive.\nAnswer: j**(113\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -98, -201, -344, -527, -750, -1013?\nAnswer: -1316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*n + 19*n + 11*n.\nAnswer: 17*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1783, -1789, -1793, -1789, -1771, -1733, -1669, -1573?\nAnswer: -1439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 312, 1391, 3996, 8889, 16832, 28587, 44916?\n\"Answer: 127*t**3 + t**2 + 187*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - g = 6. Suppose -2*w + g*y - 6 = w, 0 = y - 5. Let v be (0 - -12)*(-2)\/(-4). Solve 0 - v = w*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 434 divided by -853310\nAnswer: -217\/426655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 103 + -102. Is 14 > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2743*a**2*p**2 + 120302*a**2 + 32*p**2 - 5*p wrt p.\nAnswer: -5486*a**2 + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.45377um to kilometers.\nAnswer: 0.00000004345377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/4 + -5 + 7. Find d, given that 3*d + 6*d**2 + 3*d**3 - o*d + 4*d = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/7555815 and 67\/3917830.\nAnswer: 105781410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 196 and 13599068.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(243)*1)**2.\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3224 is divided by 526?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4+-0.0727\nAnswer: 3.9273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 5*r**2 + 9*r. What is the lowest common multiple of 6 and z(-2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.1 + -0.9. Let u be (2 + -2 - -2)*1\/9. Which is the smallest value? (a) u (b) g (c) 4 (d) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5 = -33. Let l(f) = -f**2 + 17*f - 6. List the prime factors of l(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -263970.89 + 1\nAnswer: -263969.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11409080440 - 1687\nAnswer: -11409082127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m*m*m**(-1\/16)))\/m*m**(-3\/8)*m)**22 assuming m is positive.\nAnswer: m**(-55\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*r = -107*r - 4. Let j(z) = -z**2 + z - 6. Let h(i) = -3*i**2 - 2 - 2*i**2 + 4*i**2 - 4. Let w(n) = 5*h(n) - 4*j(n). Determine w(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*j - 4 + 5*j**2 + 5*j**3 - 8*j**3 + 0 + 22*j - 40*j in the form s*j**3 + y*j + m*j**2 + o and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 203817? (a) 2 (b) -2\/25 (c) -1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*j - 5*p, -3*p - 20 = 3*j - 7*j. Suppose -j*f + 25 = 0, 0 = 5*z + 2*f + 2*f - 125. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - v)*(-3*v - 2*v + 2*v) + v**2 + 2*v**2 - v**2 - 6*v**2 + 3*v**2 + 0*v**2)*(-2 + 2 - 2*v).\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5*i = 16. Which is the smallest value? (a) 1\/7 (b) 0.1 (c) i (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16144092191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2363210119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404204555 is divided by 266?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 2*c + 351 = x, x + 3*c - 386 = 0. What is the remainder when x is divided by 76?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*p + 36 - 104 = 0, 0 = 3*p - 3. Suppose -d*b + 15*b = -162. What is the remainder when b is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7642.988 millilitres in litres?\nAnswer: 7.642988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.19486024 rounded to one dp?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 369 a factor of 100368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 33 = -6*r. Let b = -2 - r. What is the greatest common factor of b and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 392*l + 26229 = 99*l + 3668 for l.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 129968413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l. Let u be b(-2). Let m = -1.5 + 1. Suppose 8 = -2*h - 2*i, 4*h - 9*h - 12 = 3*i. What is the closest to h in m, -5, u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (340\/1785000*42)\/((-4)\/30).\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two thirds of a hour in minutes?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 1685 = 1103 + 1720. Calculate the greatest common divisor of 245 and j.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3102 (base 5) to base 9.\nAnswer: -486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -1. Suppose 9*l = -0*l + 90. List the prime factors of f\/(-5) - (-174)\/l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**3 - 26*a**2 - 19*a + 9. Let u = 265 - 250. What is the tens digit of v(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-1\/39))\/c*c*c**(-31)*(c**(-12\/7)*c)\/c**(-1\/6) assuming c is positive.\nAnswer: c**(-16693\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57 and 627?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 y when two letters picked without replacement from wyuuwwwnwuounwuwwuw?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = k + 4, i + 1 = 4*k + 17. Sort 4, k, 3, 13 in decreasing order.\nAnswer: 13, 4, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -1\/3 (c) 0.1 (d) 17\/16 (e) -1.1 (f) 0.0675\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 76*l - 79*l + 58, -33 = -3*l for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163641 is divided by 20455?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/6 + 57779206*h\/3 + 1669218322995218\/3.\nAnswer: (h + 57779206)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8708693.\nAnswer: 7, 1244099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (-2)\/(-7) - 2\/7. Suppose t*c - 32 = -3*n + c, -3*n = -c - 34. Find the first derivative of 0 - n + 7*a**4 + 0 + 1 wrt a.\nAnswer: 28*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f + 0*f - 3*f)*(-1 - f**2 + 1)*(494 - 1244 + 9180*f + 751) to p*f**4 + j*f + u*f**2 + r*f**3 + h and give p.\nAnswer: 9180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**4\/7 + 1658*w**3\/7 + 37402*w**2\/7 + 5106*w = 0. What is w?\nAnswer: -21, -1, 0, 851","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + k**2 + 23*k + 29. Let x be i(0). Solve -2*j - 8 = j - f, -4*j = -5*f + x for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 104 + -32. Suppose 0*i + 2*i = t, 3*t = 2*i. Suppose r - 6*r + 45 = t. What is the highest common divisor of b and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 766 - 823 = -4*b - d, 18*b + 11*d - 575 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 7955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(3\/6*-11 - -2). Let l = -0.1 + 0.1. Let m = -3 - l. What is the closest to q in 1, m, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 40*t**2 + 0 - 18*t**2 + 26*t**3 + 6 - 3 - 25*t**2. Let z(i) = 52*i**3 - 5*i**2 + 5. What is 5*s(m) - 3*z(m)?\nAnswer: -26*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -866 - -853. Which is the second biggest value? (a) -9 (b) 0.2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**3 - 2377570*b**2 - 2377572*b = 0?\nAnswer: -1, 0, 1188786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6907, -13808, -20703, -27586, -34451?\n\"Answer: s**3 - 3*s**2 - 6899*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from geniknnikkiegggg. What is prob of sequence ke?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2212000 (base 4) in base 8?\nAnswer: -24600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2140\/7*r + 2136\/7 + 4\/7*r**2 = 0. Calculate r.\nAnswer: 1, 534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -76.45 + 0.45. Let g be 2\/(-4)*(-21 - -21)\/(-4 + 1). What is the third smallest value in p, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yhyy when four letters picked without replacement from {y: 7, p: 2, h: 1}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 170410408 - -192.4?\nAnswer: 170410600.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(40\/30)\/(4\/(-6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.8 + -1.84. Which is the second smallest value? (a) -4 (b) h (c) 3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3694573494 - -1.3902\nAnswer: -3694573492.6098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 589074?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 10 = -0*p + 2*p, 5*p = -z + 22. Let m(n) = n**2 - 4*n + 1. Let x be m(p). Is ((-62)\/(-4))\/(x\/2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 12*m**2 - 16*m - 148. Let s(v) = v**2 - v - 19. Give -k(p) + 10*s(p).\nAnswer: -2*p**2 + 6*p - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 406018001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -2*v + 1058, 2*v - 6 = -0*v. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 12 = 3*r. Suppose 30 = r*p + 6. Let g be (-4)\/p*3\/(-2). Let m(f) = -5*f. Give m(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + -20. Let r = -2\/9 - -13\/18. Which is the nearest to 0.06? (a) 1 (b) m (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 3295.\nAnswer: -3299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 164187, 164186, 164185, 164184, 164183?\n\"Answer: -w + 164188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*i + 221 = -i, 4*h - 2*i - 218 = 0. Let o be (-3)\/(6\/h) - 2. Let k = o - -31. What is the smallest value in k, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-146*h + 228*h - 114*h + (-45 + 45 - 19*h)*(3 - 2 + 1))*(-2 + 2 - 2) as i*h + d and give i.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 199444312 divided by -1060874\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 1. Let y(w) = 4*w + 7. Let d(l) = -2*u(l) + y(l). Determine d(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2256345 or -2256365?\nAnswer: -2256365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, -1\/13, -27\/4, 3?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 9 = -213. Suppose 3*b + 2*n - d = 0, 0*n = 2*b + n - 33. Let u = b - 8. Calculate the remainder when u is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 377454 - 139714 = b. Suppose 0 = -20*d + b + 75320. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + -5)\/(1\/(-2)). Suppose -s = 4*z - 4, 5*z = 2*s - 0 + 5. Solve -w*k - f - f - 18 = 0, -2*k + f - 11 = s for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14069 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -6*t**2 + 297*t + 129. Let a be x(50). Let m(p) = -6*p + 6. Let d(g) = -g + 1. Give a*d(w) + 3*m(w).\nAnswer: 3*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -113766*b**3*p + b**3*t + 2*b*p*t + 4*b*p + 128332*b*t wrt p.\nAnswer: -113766*b**3 + 2*b*t + 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2 - 110*i + 2. Let w be b(-55). Solve -4*p + w*p - h + 7 = 0, -4*h + 22 = 2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from spbtl. What is prob of picking 1 p, 1 t, and 1 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.04402 - -87400893\nAnswer: 87400892.95598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 71256303 to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(4\/21)*l*l**(-2\/69)*(l\/(l\/(l*l*l**12)))\/(l*(l*l**(-4\/9))\/l) assuming l is positive.\nAnswer: l**(21164\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)*1 + sqrt(110) + sqrt(110) + sqrt(110) + sqrt(110))\/sqrt(10))**2 + sqrt(11) + -2*sqrt(11) + 1.\nAnswer: -sqrt(11) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 87744448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 107.12, -2\/5, 0.1, -0.15, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 7:22 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/78 and -79\/3380?\nAnswer: 10140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5446432*j + 7541363 wrt j?\nAnswer: -5446432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 4 (c) -2\/5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 261648516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7682 + -7671. Let r(z) = -2*z + 16. Let n(w) = -5*w + 47. What is f*r(a) - 4*n(a)?\nAnswer: -2*a - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46 (base 13) to base 8.\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 12) to base 4.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1044113433 (base 6) in base 14?\nAnswer: -1728457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(1 - 8\/2). Let b(v) = v - 5 - z*v + 4 + v**2. Suppose 106*k + 30 = 109*k + 4*t, 4 = -k + t. Give b(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1486 - -1751?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pgpwprpmg. What is prob of picking 1 m and 1 w?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-2 + (-2 - -5 - 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1996748 and 31616?\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*w + 123*w - 100*w + 1.\nAnswer: -11*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**3 + 1 - 2 - 6*z**3 + (0 - 4 + 2)*(z**2 - z**2 - z**3).\nAnswer: -7*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y\/(y**(-1\/11)\/y))))**(2\/139)\/(y\/(y\/(y\/(y*y**(-9))*y)))**(-9))**(-50) assuming y is positive.\nAnswer: y**(-6882800\/1529)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 5*v**2 - 23*v + 216. Let o be i(8). Calculate the greatest common factor of o and 320.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 63 - -2?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1380 + 71 = -217*z - 68 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 6*m - m - 23 = 0, 0 = -v + 2*m + 25. Calculate the remainder when v is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*p + 21518 = -183*p - 80*p - 11*p for p.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -16.93, 2.5, -3\/4?\nAnswer: -16.93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - -933) + 4*1. Suppose r - 4608 = -4*p, -p - r + b = -214. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 5*u**2 + 23*u - 63. What is k(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + 1)\/(40*(-153)\/(-4080))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 4:24 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70 - 5635\/69)*(-1)\/(-10)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 - -43. Let l = b - 29\/2. What is f in 1\/4*f + 9\/4*f**3 + f**4 + l*f**2 + 0 = 0?\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 4*r - 10 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -634*k = -656*k + 220 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/((l*l**(-1\/7))\/l))**(-34)\/(l\/(l\/(l**(1\/2)*l)))**(1\/30))**10)**(-1\/3) assuming l is positive.\nAnswer: l**(5447\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 34435551 at least 34435552?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 27 - 29. Suppose -4*d + 35 = d + g*r, -4*d - 2*r = -30. Calculate the highest common factor of d and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*i + 16*i - 9500 = 18*i - 41*i for i.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 19*d - 2. Let x be a(-22). Suppose -4*y + x = 4*y. Calculate the lowest common multiple of y and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 133955.2km?\nAnswer: 133955200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 7*b - 3. Let k(c) = 7*c - 3. Determine -5*j(w) + 4*k(w).\nAnswer: -7*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**5\/5 + 22*z**4\/5 - 68*z**3\/5 + 92*z**2\/5 - 58*z\/5 + 14\/5.\nAnswer: -2*(z - 7)*(z - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 + (0 + 3 - 2) + -4 - (-3 - -5).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*16\/(-720)*3\/(-10).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 5*z**2 + 4*z + 0 + 1. Let q(f) = 13*f**2 - 9*f - 2. Let b(i) = -3*q(i) - 7*t(i). Suppose -7*p = -2*p + 5. Determine b(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7560000 to the nearest one hundred thousand.\nAnswer: 7600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w + 1. Let b be c(4). Suppose 5*o = 5*i - 2*i - 10, 0 = 2*o - 3*i + b. Suppose 0 = -7*n + 8*n - o. Solve -5*p - n = -3*t, t + p - 3 = -0*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79762030 to the nearest integer?\nAnswer: 8931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -14. Suppose -2*w = -3*g - 4, -2 = -2*w + w - m*g. Suppose 0 = -x + 5*k + 23, k + 19 = -2*x + 4*x. Solve 0*c + x = -w*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-1668)*(618\/721)\/((-9)\/14).\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70 - -70. What is the second biggest value in m, 4, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-4*(sqrt(117) - (sqrt(117) + 1 + sqrt(117))) + sqrt(117) + (sqrt(117) - sqrt(117)*2)*-3 + sqrt(117) + -6*(sqrt(117)*1 + -5))*6)**2.\nAnswer: 21492*sqrt(13) + 77509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 31 = 5*a. Suppose 4*y + 0 = -s - 8, -2*s = -a*y - 24. Suppose -s*r + 5*r = -9. Solve f = -3*z + 2*f - 8, 3*z + r*f = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.37 - -1.63. What is the third smallest value in 0.5, -20, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by 75?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 13) to base 8\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160 - 156 + 352 + 3*r.\nAnswer: 3*r + 356","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5853977 or -5853978?\nAnswer: -5853978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 2:17 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d**2*p + 3*d**2 + 9*d*p - 46*p + 2 wrt d?\nAnswer: 4*d*p + 6*d + 9*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 601252486.\nAnswer: 2, 300626243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 11*x**4\/4 + x**3 + 2*x**2 + 2*x + 7076. Determine w(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 17*p + 5102 = -12608. What is the highest common factor of 280 and p?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 56*f + 4*f**2 + 268 + 516 - 3*f**2 = 0?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 (base 6) to base 8\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 7*s = -5*x + 4049, -2*x + s + 1621 = 0. Calculate the greatest common divisor of x and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -234102341?\nAnswer: 234102334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 67624 and 6848.\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/5323838 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 17\/2 (b) -1\/2 (c) 0.5 (d) 13 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1478737?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 4*f**2 - f + 4. Let j be ((0 + 3 - 1) + -10)\/(-2). What is y(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1826178.\nAnswer: 2, 3, 304363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 155167908 a multiple of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 - -35 - (3 - 1 - 9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -0.9, 0.4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40548.\nAnswer: 2, 3, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 829 is divided by 83?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16819, 16817, 16815, 16813, 16811, 16809?\nAnswer: 16807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (5 - (-7 - (-40 + -2 + -5)))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 481*x**2 - 12*x - 2. Let y(t) = 963*t**2 - 30*t - 5. What is 5*d(h) - 2*y(h)?\nAnswer: 479*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 2*i - 8 = -4*y, 18 = i + 4*y. Put 3, i, -3 in increasing order.\nAnswer: -3, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268 a factor of 2227966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847) + -4 + 0 + sqrt(847))**2 - sqrt(847) - (0 + (1 + sqrt(847))**2)) + (-1*sqrt(847)*6 + -3)**2 + 4.\nAnswer: 187*sqrt(7) + 33061","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 42\/8 - (-2)\/(-8). Let k be (-4 - 8\/(-4)) + p. Factor -o**2 + 2 + 2*o**3 - o + 0*o**k - o**2 - o**3.\nAnswer: (o - 2)*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153088208 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: Three letters picked without replacement from {h: 1, n: 1, t: 1, o: 1, f: 1}. What is prob of picking 1 f, 1 n, and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 2:02 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*c**3 - 184*c + 91*c**2 - 61 - 36*c**2 + 85*c**2 - 35 - 8*c**2 = 0. Calculate c.\nAnswer: -2\/5, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k**3. Let f be h(-1). Let r = 26 - 18. Suppose 0 = -r*o + 5*o + 15. Solve v + 6*y = f*y - 12, o*y + 20 = 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 131*p**2 + 130. Let r(m) = -1. Let y(t) = -h(t) - 3*r(t). Find the first derivative of y(l) wrt l.\nAnswer: -262*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/3)\/((-6)\/27). Let a be (7 + n)*(-2)\/(-4). Suppose -75 = 2*m - a*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -11*t**2 + 6108*t - 6055. Let p(g) = -23*g**2 + 12224*g - 12110. Let s(m) = 6*p(m) - 13*w(m). Solve s(y) = 0.\nAnswer: 1, 1211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 9.09. Let g = y + 1.91. Which is bigger: 3 or g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*(f*f\/(f**(6\/17)\/f))\/f))\/(f*f\/(f**1\/f)))\/(f**(-1)\/(f**1*f)) assuming f is positive.\nAnswer: f**(-11\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g - 2 - g - g + g. Give b(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*51.\nAnswer: 10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.9 in 61\/3, 0.5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 10*r**4 - 30*r**3 + 105*r - 95. Let b(i) = -11*i**4 + 31*i**3 + i**2 - 105*i + 96. Let g(c) = -5*b(c) - 6*s(c). Factor g(u).\nAnswer: -5*(u - 3)**2*(u - 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x**2 + 425*x - 74. Let f(n) = -3*n. What is u(f(w))?\nAnswer: -27*w**2 - 1275*w - 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 71.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 144107 and -1053529.\nAnswer: -909422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + -0.05. Let v = -1.05 - b. Let x = -3 + 5. Do x and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 185102, 186601, 188102, 189605, 191110?\n\"Answer: d**2 + 1496*d + 183605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*s + 8. Let i(u) be the second derivative of -u**3\/6 + 4*u**2 - 3*u. Calculate i(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**3 - 3*d**3 - d**4)*(d + 1 - 1) + (d**5 - d**5 - 2*d**5)*(0 - 4 + 2) - 59*d**5 - 8 + 0 + 57*d**5.\nAnswer: d**5 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l*l\/(l*l**(-7))*l))\/(((l\/(l**(1\/19)*l))\/l*l*l)\/l))**(-9)\/(((l\/(l**(-2\/33)*l))\/l)\/l**(-2\/3))**(15\/2) assuming l is positive.\nAnswer: l**(26991\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(7)*-1 + 2)**2.\nAnswer: -20*sqrt(7) + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -358 by 12.\nAnswer: -179\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**2\/7 - 9896*x - 20961600\/7 = 0. Calculate x.\nAnswer: -300, 34936","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -691 + 101*k + 1497 + 73*k - 177*k + 756 to g*k + q and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g + 1, 3*g - 7 = 12*b - 11*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 342 - 4030024?\nAnswer: -4024132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 != -67\/60?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2425, 4697, 7003, 9349, 11741?\nAnswer: 14185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 268, 400, 534, 670, 808?\n\"Answer: h**2 + 129*h + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -26087394 <= -26087374?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 454.9\nAnswer: 1364.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 955 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326662 is divided by 180?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 4*j**2 + 6*j + 7. Let o be x(-5). Suppose 662 = o*y - 96. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of m**8\/336 + 29*m**7\/630 + 7*m**6\/72 - m**5\/4 - 19*m**4\/36 + 8*m**3\/9 - 5*m**2 - 73. Find h such that v(h) = 0.\nAnswer: -8, -2, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 + 2*w. Let b be c(-2). Suppose 2*a - 17 = -1. Let l = a - b. Solve -25 = l*g - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + v + 4830004 = -v, 0 = q - v - 1610002. What is q rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7714751 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ieiieie. Give prob of sequence eie.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 38416675159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30763785?\nAnswer: 3, 5, 13, 79, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 5*x - 4. Suppose -1 = -3*s + 2. Let v = 4 + s. Determine h(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 787 - 8975 = -356*j for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-five quarters of a micrometer in nanometers?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33 or 199977?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/220)\/(18\/(-180)*2)?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 + 229 = 5*s. What is the highest common divisor of 17 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**5 + 27*l**3 - 12*l**2 - 36*l = 0?\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**3\/4 - 77*f**2\/4 - 380*f - 361 = 0. What is f?\nAnswer: -38, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14736 by 6800.\nAnswer: -921\/425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4599 and 98623.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-116)\/(-22) + 498\/(-1826). Let g = -1.7 + 2. Which is the second biggest value? (a) j (b) 0.5 (c) g (d) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 69*r. Let l(c) = -12*c. Calculate l(b(z)).\nAnswer: -828*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 371 = -w, -w = 3*t + w - 224. Calculate the remainder when t is divided by ((-25)\/2)\/((-8)\/16).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - p**2 - 3 + 0*p + 4*p + 0. Let g = -224 + 226. Calculate q(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (-6)\/(-4)*(-324)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 8*h**2 + 9*h + 4. Let l be b(9). Let q = 4 + l. Suppose 4*t = k + 104, q*k - 155 = -5*t + 3*k. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 20*g - 19. Let u be ((-4)\/(-4))\/(-1) - (0 - -70). Let z = -86 - u. What are the prime factors of x(z)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2*v - v + 1 = 0, -5*l = -3*v - 2. Put l, -5, 3, -3 in descending order.\nAnswer: 3, l, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6442822 (base 9) in base 14?\nAnswer: 65c660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -280, -560, -840?\n\"Answer: -280*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 223*b**3 - 49*b**3 - b**2 + 19607*b - 9805*b - 9801*b in the form d + k*b + y*b**3 + w*b**2 and give y.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 10*d + 9. Let t be i(-6). Let p = 1522 + t. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70664.04 months to decades.\nAnswer: 588.867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and 512.\nAnswer: 511.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 59*i**2 - 31*i**2 - 18.\nAnswer: -90*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2671615?\nAnswer: 5, 534323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57 - 70.8. What is i rounded to 0 dps?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1565 by -313.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 1 = c, 50*c = 55*c - 2*k + 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*n - 1 - 254*n**2 + 0 + 127*n**2 + 125*n**2 to w*n + r + l*n**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*p = -103 + 7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i**3 - 33*i**2 + 37*i - 226. Calculate d(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 836004 a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, x: 1, k: 3, a: 3, n: 5}. Give prob of sequence xka.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -178.009 + 0.009. Let f = -159.6 - p. Let m = f + -18.3999827. Round m to six dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -23*i. Let l(t) be the third derivative of 0*t**3 + 0 + 0*t + 1\/24*t**4 + 2*t**2. Give n(l(c)).\nAnswer: -23*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10844682 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 202648309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -6)\/4 - (-3 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 0 - (6 + -22 + (-12 - -15))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**4 + 4184*j**3 - 2117*j**3 + j**2 - 2080*j**3 - 168*j + 1 to k + y*j**4 + w*j + l*j**3 + r*j**2 and give l.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 30 = -5*b, 4*b = 3*f - 7 - 24. Let h be -18*(b\/(-2) + -4). Which is greater: h or 8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 126*z**2 + 31*z + 4. Let i(j) = 2*j**2 + 7*j - 20. Let v be i(-5). Is q(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 43893072?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 - 2222221122?\nAnswer: -2222221212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of 1\/2*r**3 + 0*r + 0 - 1\/120*r**6 + 1\/6*r**5 - 3\/8*r**4 + 5*r**2. Is n(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 10*q + 17. Let t be o(8). Sort -2, t, 0 in increasing order.\nAnswer: -2, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - 7 - (-14 + 2 + -35). Let g = -458 + 1309. Calculate the highest common factor of g and u.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**2 + 10*k + 2. What is m(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k - 2. Suppose -3*m = 3, 5*p + 5*m - 220 - 185 = 0. Let g = p + -87. Let h(a) = -a - 1. Give g*h(d) + o(d).\nAnswer: 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 298 and 9238?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 9:40 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {b: 5, r: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -21121 (base 4) in base 13?\nAnswer: -373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 1:37 PM?\nAnswer: 12:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + p = -i + 16, -5*i + 34 = -2*p. Let s be i\/72 - (-1)\/6. Let m = 8 - 4. Is m at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 8274052 and 60703769.\nAnswer: 68977821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -15 + 20*c**2 + 0*c - 6*c + 19*c. List the prime factors of r(4).\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u + 6. Suppose -4*t = 2*g - 3*t - 15, -4*t - 4 = 0. Let c(k) = k**3 - 9*k**2 + 12*k - 9. What is the remainder when c(g) is divided by s(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 395810.\nAnswer: 2, 5, 39581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 205207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1334.\nAnswer: 2, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.289 - -34965?\nAnswer: 34967.289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 148173*y - 889057. Give f(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 102\/12*(-5)\/1*(-33)\/(-330)?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/(c*c\/(c\/c**11))))\/c*c*c)\/(((c**1\/c)\/c)\/c))\/(c*c**(-2))**(3\/10) assuming c is positive.\nAnswer: c**(153\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88 and 133632?\nAnswer: 1469952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 17 - 15. Let t be 10 - -1*(2 - 1). Let x = y - t. Is x even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(17))*4 + -2 - (-2 + sqrt(17) + -5)*-6.\nAnswer: -48 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 11565301, 23130604, 34695907?\n\"Answer: 11565303*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 367 = 45*s - 1703. Solve -12*x + s - 34 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - k + 19 = 26, b + 7 = 5*k for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 30*k - 1035. Calculate z(39).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 1. Let w(c) = 9*c**4 + 11*c**3 - 8*c + 11. Let v(k) = -22*j(k) - 2*w(k). Find the second derivative of v(a) wrt a.\nAnswer: -216*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**5 + 12*n**4 + 24*n**3 - 32*n**2 = 0. What is n?\nAnswer: -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -2*a**3\/3 + 18*a**2 + 29*a. Let o be s(9). Solve 6*p - p - 5 = o for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (164\/(-328))\/(((-6)\/(-4))\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (1048\/(-393) - 2466\/27)\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1983502 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 12*u**2 + u + 1. Let b(h) = -h + 1. Let q(r) = -2*b(r) + z(r). Suppose 0*x - 16 = -4*x, 5*j - 2 = 2*x. Is q(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 5*j - 52. What is f(13)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 166 and 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 1. Let t(r) = 2*r**3 + 4*r - 4. Determine 4*a(j) + t(j).\nAnswer: -2*j**3 + 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - -21. Suppose -t = -4*z + 3. Suppose -3 = i - 7. Calculate the remainder when z is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 998 = -1217. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 496, 1691, 4042, 7933, 13748?\nAnswer: 21871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 3842806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2499920 by -249992.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2619000 and 400.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4 = -2*f. Sort 4, -3, f in ascending order.\nAnswer: f, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -j**6\/40 + 11*j**5\/20 - 7*j**4\/8 - 147*j**3\/2 + 274*j**2. Factor r(c).\nAnswer: -3*(c - 7)**2*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 240*y - 504 + 2424 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 193*z**2 - 356*z - 6632. Determine y(195).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence as when two letters picked without replacement from ssiiusaiisiiai.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2610787026 and 3.01.\nAnswer: 2610787029.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*p**2 + 256*p**2 + 280*p + 293*p - 573*p.\nAnswer: 359*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mwwu when four letters picked without replacement from hwhhummhmmwcmwhwmhw?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -8. Let n = l - -3. Let k = n - -4. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.34789 + -0.3.\nAnswer: -1.64789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1693254670 to the nearest integer?\nAnswer: 1192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 6*w**2 + 3*w - 10. Let c be z(-8). What is c rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 9 = 6*u. Suppose r - 3*f = 65, 0*f - 3*f - 242 = -u*r. Let a = r + 5. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6600211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000247 rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7405377?\nAnswer: 3, 7, 352637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 383*u**3 - 404 - 463*u + 463*u wrt u.\nAnswer: 1149*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 159938, 159303, 158244, 156761, 154854, 152523, 149768?\nAnswer: 146589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6874 and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/((-20)\/48).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -104407\/230139 - -4\/5901. Let n = -3\/13 - q. Solve 0 + n*v - 2\/9*v**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 156*d**3 + d**2 - 1. Let q be w(1). Suppose q = 2*f + f - 3*n, 2*f - 3*n - 99 = 0. Let i = 57 - f. What is the nearest to i in 13, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*f - 90. Suppose 0 = -3*s - f + 24. Let k = -2 + s. Solve 16 = 4*r - k for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.04 - 0.012. Let u = b - -1.672. What is u rounded to 1 dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*v + 26 = 104. Let c be 3 - (9 + (-9 - v)). Is 6\/71 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/3))**(-22)\/(s\/s**(-2\/7))**(-3\/5))\/(((s**(-8)*s)\/((s*s**2)\/s))\/(s*s**(-3)*s*s*s*s\/((s*s**(2\/3))\/s))) assuming s is positive.\nAnswer: s**(1936\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -21*n**3 - 10*n**2 + 19*n - 53. Calculate g(3).\nAnswer: -653","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 6:25 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d + d + 8*d - 14*d + 0*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -45 + 125560423?\nAnswer: 125560345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 272 (base 13) in base 3?\nAnswer: 120222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -3*g + 18. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 5*t - 15, 412*t - 414*t = -2*i for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (253*d + 111*d - 844*d - 461*d - 835*d)*(17*d - 27*d + 4 + 16*d).\nAnswer: -10656*d**2 - 7104*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 114 - 92. Let n(j) = j**3 - 21*j**2 - 25*j + 79. Let i be n(d). Solve 0 = o + h - 1, 0 = o - 5*h + 16 + i for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - m + 11. Determine c(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/5 (b) -3\/8 (c) -0.31 (d) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-8)*(-17)\/((-459)\/(-36))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1185632418 times -0.3?\nAnswer: 355689725.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j*j\/j**(1\/6)*j*j*(j*j\/((j\/(j*j**(5\/4)*j)*j)\/j)*j*j)\/j*((j*j**(-1\/9))\/j)\/(j\/((j\/((j\/j**(-18)*j)\/j))\/j*j*j)) assuming j is positive.\nAnswer: j**(-289\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*l - 74*l - 2*h = 12, -4*l - h = 21. What is the closest to 2\/9 in 7, l, -166?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of 259*z**4\/8 + 625*z**3\/3 + 1377*z**2. Find the first derivative of i(p) wrt p.\nAnswer: 777","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*j + 382*j = -16380 for j.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 6. Suppose 5*f = s*b - 245, 4*f + 0*f + 193 = b. Let p = f + 127. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57 + 562. Suppose -8*g + 197 = -z. What is the remainder when g is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 72, 527, -86, 2 in descending order.\nAnswer: 527, 72, 2, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28147036 to the nearest integer?\nAnswer: 5305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 47 = -s, -37 = -3*m + 11*s - 6*s for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4896617 to the power of 1\/2, to the nearest integer?\nAnswer: 2213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*q - 17*q - 10*q - 7*q.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 - h**2 + 2*h**2)*(-5*h + h + 2*h)*(-4 - 6 - 8)*(-1 - 1 + 3).\nAnswer: 144*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -18. What is the tens digit of 12\/h*(-52)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sfwxissfws. What is prob of picking 1 f and 2 w?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2 + 8*c + 8 + 2*c. Let w be k(-9). Let m = -35 - w. Is m a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 5. Let l = 6 - j. Suppose 13 = 3*p - s, -2 = 3*p + 63*s - 67*s. Solve w = l*w - p for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/4, -1\/81, -14, 220, 4, -2.1?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-174)\/(-792))\/(70\/4620)?\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -17821.\nAnswer: 4\/17821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 86956 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 - 295*x - 1590.\nAnswer: -5*(x + 6)*(x + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34198 + 34391. Calculate the remainder when 973 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -4*v - 39, -42 = -3*h + 5*v + 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 - -62. Let g = w + -23.65. What is g rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/80 and -69\/200?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*y - 56 + 3*y + 47)*(-4 + 8*y**4 + 4).\nAnswer: 80*y**5 - 72*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q + 2660 = 51*q + 39*q for q.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 789 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -20*s**2 - 2*s + 1. Let h be q(1). Let k be h\/(-9) + 6\/9. Solve 16\/7*r**2 + 2\/7*r - 4\/7 + 10\/7*r**k = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20 and 202826?\nAnswer: -4056520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {g: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v - 25 = 66 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 22\/5)\/(261210\/3225 - 81)\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w**3 - 2*w**3 + 6*w**3 + 9*w**3.\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**4\/o*(o**(-1\/11)*o)\/o assuming o is positive.\nAnswer: o**(32\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5467 or 1\/3?\nAnswer: -5467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**2 + 57604*n + 414777602 = 0.\nAnswer: -14401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11680\/7*i + 8526400\/7 + 4\/7*i**2 = 0. Calculate i.\nAnswer: 1460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**3\/11 + 3728376*v**2\/11 - 59653632*v\/11 + 238614016\/11 = 0. Calculate v.\nAnswer: 8, 1864172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 872\/30*1 - 46\/690?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*w**3 + 26*w**3 - 72*w**3 + 24*w**3.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (32454\/2404)\/(1\/2)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from edeeaeeaaeeedaae. What is prob of picking 3 a?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 32\/5 of a centimeter?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 110 = 125. What are the prime factors of w?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 465 by 26.\nAnswer: 465\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42722?\nAnswer: 2, 41, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 1313 and -0.1288.\nAnswer: 1312.8712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - 52) + (-81 - -148)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 948827432?\nAnswer: 2, 7, 16943347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -160180 rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 590\/(-75) + 13 + 25\/(-5).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2*(sqrt(117) + -1)**2 + -3 + -2 + 3)*-6 + -4.\nAnswer: -288*sqrt(13) + 5612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.94 in -0.07, 2, 4, -4?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(25)*6)\/(sqrt(245) + 1*sqrt(245)).\nAnswer: 6*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q*q*(q**(-26)\/q*q)\/q))*q**32*q)**49 assuming q is positive.\nAnswer: q**392","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -94 - -102. Solve y = 2*t + 4, -4*t - p = -3*y - 0*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1076203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*s - 3*s - l - 188, -4*l + 8 = 0. Solve -17*o - 140 = -s for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.62 - 7.48. Let s = i - -6.82. Round s to 1 dp.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*(g**13\/g)\/g*g*g)\/g)\/(g*g**(3\/11))*(g\/(g*g**(-2\/17)*g))\/((g*g**(-3\/14)\/g)\/g))**(-22) assuming g is positive.\nAnswer: g**(-34189\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 3940.17467 to zero dps.\nAnswer: 3940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -873*g**2 + 4*g + 6. Let k(n) = 8729*n**2 - 42*n - 63. Determine -21*f(j) - 2*k(j).\nAnswer: 875*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -312993390 and -1.023?\nAnswer: 312993388.977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1410851055 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/59010 and -3\/39340?\nAnswer: 118020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37.8 + 38. Let o = 0.43 - 0.03. What is the second smallest value in v, o, 3\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 7*l**2 - 10*l + 12. Determine t(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-203)\/70 + (6 - 28\/5). Suppose 5*z + 6 = 1. Let h be (0 + 2)*z\/(-8). What is the smallest value in h, y, 0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 42*m**2 + 41*m - 12. Let p be w(41). Let s(r) = -126*r - 635. Let h be s(-5). Sort h, 1, -8, p in descending order.\nAnswer: 1, h, -8, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -190522 by 53.\nAnswer: -190522\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -1 + (79 - 86).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 8 + 4 = 0. Solve m*n = -0*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -m + 12, -m = 3*h - 152 + 147 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 2*a = -1, -27*n = 52*a - 51*a - 188 + 50 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 21 = 3*f, -b + 17 = -4*f + 20. Solve -5*c = -35*i + 31*i - 35, -10 = f*i for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 16. Determine x so that 6*x**4 + 9*x - 15*x**2 - j + 6*x**4 + 20 - 9*x**3 = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55945, -13, 0, 5 in descending order.\nAnswer: 55945, 5, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246368 is divided by 226?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -607 or 33516?\nAnswer: -607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*r + 198 = 169 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -136556784 times 0.5?\nAnswer: -68278392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1033310 (base 4) to base 8.\nAnswer: 11764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -17650086.\nAnswer: 5\/17650086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7568*f**2 - f**3 - 7538*f**2 + 2*f**4 - f**3 + 8*f to the form h*f + u + d*f**4 + m*f**2 + k*f**3 and give m.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1824 = w - 4*v, -v = 2*w - 2859 - 816. Let l(b) = -1836 + b + w. Let c(j) = 4*j**2. Calculate c(l(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*x - 25. Suppose x*f = -0*f. Factor 10 - 5 - 6*l + f*l**2 + 2*l**2 - 1.\nAnswer: 2*(l - 2)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w - 17. Calculate z(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, q: 3, a: 7, o: 7}. What is prob of picking 2 a?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 4*w**2 + 5*w - 4. Let s be p(-5). Let l be (7\/3)\/(-1) - (-1)\/3. Let d = -6 + 11. Sort l, s, d in descending order.\nAnswer: d, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/(7\/2) + 177\/(-48) and 37\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 523090289 to the nearest integer?\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*w + 5*o - 20 = 0, -3*w + 3*o = 12. Let s = w - 0. Suppose -4*n + 2*n + 22 = s. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*o - o - o - 5*o - 3*o.\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4670 + 6336. Does 34 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41.4 + 31. Let a = 26 + q. What is a rounded to zero decimal places?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 9*x - 7. Let y(s) = -s**3 + 16*s**2 - 15*s - 9. Suppose 61 + 14 = 5*u. Let l be y(u). Let w be z(l). Which is smaller: -6 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 w when three letters picked without replacement from {y: 2, w: 2, h: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**2 - 8*x + 26. Determine q(6).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**5\/10 + 29*m**3\/6 - 14*m**2 - 3*m - 16. Is a(-13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -1\/3*u**3 + 4*u - 61 - 1\/2*u**2. What is y(4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 5363323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 2*w + 1 + 3*w - 2*w - 7*w - 4*w**2. Give t(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/1034 and 87\/160336.\nAnswer: 7535792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/333 and -15\/46?\nAnswer: 15318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1615.2027 to the nearest 10.\nAnswer: -1620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2382749*i**3*v**3 + 9206*i**3 + i**2*v + 2*i**2 - i*v**3 + i wrt v.\nAnswer: -14296494*i**3*v - 6*i*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -271313833 + 66.\nAnswer: -271313767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -28.9999616 + 29. Round j to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 46*f - 5. Let q(h) = 23*h - 3. Let j be -3*(36\/(-126) + 82\/42). Determine j*q(v) + 3*o(v).\nAnswer: 23*v","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h**2 + h - 7. Let y be i(-2). Let n = -4 + 10. Solve 21 = s - 2*m + n, -y*s = -4*m - 35 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -16, 5*h = -4*b + b + 32. Is 40 a factor of (10\/(-6))\/(h\/(-480))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*q - 2*q + 1657 + 3551 = 0. Is q at most as big as 187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 180*f + 47. Let x(g) = 66*g + 15. Determine -4*o(q) + 11*x(q).\nAnswer: 6*q - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -62 - 45*s**2 + 62 in the form h*s + d*s**2 + a and give d.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15023 + 1295 - 39210 = 3114*p for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/10 and -57\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7 + 6)\/((-4 + 2)\/28). Calculate the highest common divisor of 112 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, t: 1}. Give prob of sequence sss.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 21*l = -g - 246, 242*g - l + 193 = 238*g for g.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1333, -1434, -1537, -1642?\n\"Answer: -z**2 - 98*z - 1234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 3)*-24 - -5. Let h(a) = -q*a - 37*a + 74*a. Let p(m) = -8*m. Calculate p(h(f)).\nAnswer: -64*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 43, 42, 31, 4?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.644, -1\/7, -4, 96, 0, 1?\nAnswer: -0.644","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j - 7. Let s(q) = -6. Let i(v) = 4*s(v) - 3*y(v). Let m be i(-2). Solve -5 = 5*r - 4*a, m = -3*r - 4*a - 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 64*c**5 + 5*c**4 - c**3 - 9*c**2 + 2459196*c wrt c.\nAnswer: 1280*c**3 + 60*c**2 - 6*c - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -606812, -606817, -606826, -606839, -606856, -606877, -606902?\nAnswer: -606931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 5. Let r(a) be the third derivative of -a**5\/60 + a**4\/24 - a**3\/6 - 7*a**2. Calculate r(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13\/((-195)\/50)*840. Round y to the nearest 100.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - x + 34. Let h be g(0). Let a = -19 + h. Let l = a + -15. Solve 3*n = -l + 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b - 5*b + 0*b - 17*b + 23*b - b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 19\/4*(-98)\/(-931)*8\/19. Suppose -v*k + 2\/19 + 2\/19*k**2 = 0. Calculate k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h + 8. Let x be w(-6). Let u = 30 + -14. Calculate the remainder when u is divided by (-30)\/x*20\/25.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/18*(-1872)\/528*99\/36?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 25, 41, 59, 79?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -27 + -3 + -3\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(6\/5))\/n**(-6))\/(n**7*n**(2\/11)) assuming n is positive.\nAnswer: n**(-76\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 + ((-4)\/(-6))\/(14\/399) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -322 - 325 + 976 - 320 + q. Let a(x) = -x - 8. Determine -6*a(g) - 5*r(g).\nAnswer: g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**3\/7 - 6007174*p**2\/7 + 24028670*p\/7 - 18021498\/7 = 0 for p.\nAnswer: 1, 3, 3003583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-6)*(-22)\/((-1100)\/90).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15868, 33367, 50870, 68377, 85888, 103403, 120922?\n\"Answer: 2*h**2 + 17493*h - 1627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 + 5)*((-6*u - 9*u + 0*u)*(3*u - 4*u + 2*u) + u**2 - 2*u + 2*u)*(5*u**3 + 0*u**3 - 3*u**3).\nAnswer: 56*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000000101100110 (base 2) to base 9.\nAnswer: 110345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 3652?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40729 + 325831\/8. Let c = 0.1 - -4.9. What is the nearest to c in d, 0.2, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1413 and 197754845.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2722264 and 24?\nAnswer: 8166792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -101111?\nAnswer: -101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.56 + -0.44. Let w = -2197 + 2196.2. Which is the nearest to o? (a) 1 (b) w (c) -0.1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i**3 + 11*i**3 + 1 + 11*i**2 - 28*i**2 - 3*i**3 - 73*i**2 in the form l*i + a*i**3 + k*i**2 + j and give k.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.401727 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35799910 and 530.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 - (4 - (7 + 0)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 798020239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a year in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dtt when three letters picked without replacement from tettttttdtt?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 632.7 times 0.6495\nAnswer: 410.93865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 146564, 4 in decreasing order.\nAnswer: 146564, 4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hhbhbhhb?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208 - 246*f + 158*f + 78*f.\nAnswer: -10*f - 208","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*b + 15*b + 70 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44*b**2*n*o + 3*b**2*o - 89*b**2 + b*n*o - 3*n*o - 1 with respect to n.\nAnswer: -44*b**2*o + b*o - 3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -29 + 0 - -22 - 3\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 5) + (-15 - -11).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3371 - -7406. What are the prime factors of g?\nAnswer: 3, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -2)\/((-5)\/(10\/4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h + 19. Let n be y(8). What are the prime factors of 16984\/(-176)*n*(0 + -2)?\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/(-15))\/((-20)\/180). Solve -5*u + 2*n = -r, 0*u + 3*u + n = 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 + 2*d - 8. Let r be m(-8). Let i be ((-3)\/(-4))\/(39\/r). Suppose -199 - 55 = -i*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13133134 + 4?\nAnswer: 13133143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(30)\/(sqrt(6) - 1*sqrt(6)*-2).\nAnswer: sqrt(5)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**3 - 4*j**3 + 3*j**3)*(1 + 2*j**2 - 1) + 0*j**4 + j**5 + 0*j**4 + (-7*j**2 - 3*j + 3*j)*(4*j**2 - 3*j**2 - 3*j**2)*(-j + 3*j - 4*j).\nAnswer: -23*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17465 is divided by 8713.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28929 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qhh when three letters picked without replacement from {q: 5, t: 7, h: 3, g: 1}?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 6 + 315*z - 2.\nAnswer: 315*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 5807046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 v when three letters picked without replacement from uvuuveevuueuveuueuu?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**3 - 2*b**2 + 3*b + 2. Suppose -46 = -2*g - 2. Suppose 4*u - g = 3*s, 38 = 4*u + 4*s + s. Calculate the smallest common multiple of u and t(-2).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2\/6)\/(11\/2178).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8265, -1, 11, 1, -2, -4, 0 in descending order.\nAnswer: 11, 1, 0, -1, -2, -4, -8265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p - 2. Suppose 2*u = 3*u. Give c(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 + 0.24. Let v = -0.3 - d. Suppose 5*f + 4*j = 8, -37 + 52 = 3*f - j. What is the biggest value in -2\/13, f, -4, v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**3\/2 - 5906751*c**2\/2 + 2907472661289*c\/2 + 2907478568043\/2 = 0. Calculate c.\nAnswer: -1, 984459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 506, 2819, 6934, 12851?\n\"Answer: 901*a**2 - 390*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -76101849*j**2 + 32085110.\nAnswer: -152203698*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65532 - 46392. Suppose -8*k - j = -297484. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 10*p**2. Let q(m) be the second derivative of 61*m**3\/2 + m**2 - 8662*m. Calculate t(q(a)).\nAnswer: 334890*a**2 + 7320*a + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*v - 2*t + 17, 2*v = -3*t + 14. Let q be v\/(-7) - (-9)\/21. What is the closest to q in -0.4, -4, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 591 - 587. Let j be (-1)\/(2*(-2)\/28). Let b = j - 5. Solve 2*h = i*s + 2, -b*h + s = -s for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/12 (b) -1\/4 (c) 130 (d) 1\/7 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n*n**(2\/3)*n**(-4\/17) assuming n is positive.\nAnswer: n**(124\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1463.999 nanometers to kilometers.\nAnswer: 0.000000001463999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -21.1 + -404\nAnswer: -425.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 11. Let p(a) = 2*a**2 - 2*a + 7. Is p(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1211, 0.1, 1.01?\nAnswer: 1.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-1)\/(-6)*64\/(-32)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14104 - -144?\nAnswer: -13410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1375.11259 rounded to the nearest 10?\nAnswer: -1380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*p - 4*a + 2, 2*p - 39 = -5*a. Let h = -108 - -140. Suppose p*i = -i + h. Let x(s) = s**3 - 2*s**2 - 2*s + 6. Determine x(i).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**2*o**3 - 2*j**2 - o**5*x - 9*o**4*x - 2*o**2*x - 9*o**2 + 3*o wrt o.\nAnswer: -12*j**2 - 60*o**2*x - 216*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -15. Let w(l) = -4*l**3 + 4*l**2 + 5*l. Let u(n) = 3*n**3 - 3*n**2 - 4*n. Let h(s) = c*u(s) - 4*w(s). Factor h(i).\nAnswer: i**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 937200 by -58575.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-6))\/(5\/(780\/(-13)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*n*y**3 - 982*n*y**2 - 797*n*y + 27*n + 2*y**3 + 2*y wrt y?\nAnswer: 144*n*y - 1964*n + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(4 + -3) - -42. What is the greatest common factor of 11 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1772.8 rounded to the nearest ten?\nAnswer: -1770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98834.\nAnswer: 2, 49417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (11 - 16) - -9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1162*u + 15074 = -10536 + 2370 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, g: 2, l: 2, f: 2}. Give prob of picking 1 f and 2 g.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 1\/2, -3, 0.309, -5, 7.5, -0.18, 3\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5344 is divided by 2228.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75)*1)\/sqrt(5) + (-2*sqrt(135) - sqrt(15)))\/(sqrt(20)*-2 - 2*sqrt(180)).\nAnswer: 3*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/513)\/4*3120\/2600\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 35 = -5*j, 4*j + 19 = 3*p - 3. Suppose p*s - 15 = s. Find the third derivative of 37 - 37 + f**s + 5*f**2 wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1232031 (base 4) to base 5.\nAnswer: 211203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 9*l. Suppose 20*r - 15*r - 15 = l. Suppose 7 = -z + r*t, -5*t + 65 = z + 4*z. Which is greater: 6 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -39, -28, -17, -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of b**4\/2 + 2*b**3\/3 - b**2\/2 - 1. Let c be n(1). Is (13 + 0)\/(c\/6) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16471 is divided by 5465.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -490 + -1?\nAnswer: -491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000048085 to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/8 + (-42)\/56.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -7961a8 (base 13) to base 9\nAnswer: -5353302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 - 354587095670\nAnswer: -354587095669.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 79686130 to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/54 and 46\/7497?\nAnswer: 44982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t + 3. Let u be g(-3). Let n be 1\/(-3)*(3 + u). Solve -h + 12 = 2*r, -2*r - n*h = h - 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express j**2 - 117*j + 408*j + 234*j - 76*j + 213*j in the form y*j + d*j**2 + u and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 779073 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2873*l + 13655*l - 51 - 1517*l + 16412*l.\nAnswer: 25677*l - 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7967.37453+-0.008\nAnswer: 7967.36653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a microgram in nanograms?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/1173 and -29\/408?\nAnswer: 9384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0044 - 23.1044. Let g = -23 - x. Let d = 6 - 18. Which is greater: d or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*m - 2 + 107. Suppose m*n = 13*n - 1542. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 612990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -1\/5, 2 in descending order.\nAnswer: 2, 0.1, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzgzzztzz. Give prob of picking 1 t and 1 g.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 454654 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**4 - 42*h**3\/5 + 18*h**2\/5 + 58*h\/5 - 12\/5 = 0.\nAnswer: -1, 1\/5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (9 - 8) - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5)*s*s\/(s*s*s\/(s**(-1\/20)*s*s)*s))\/((s**(9\/2)\/s)\/((s\/(s\/(s*s\/s**11)))\/s)) assuming s is positive.\nAnswer: s**(-371\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 786, 1573, 2360?\n\"Answer: 787*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 25*r**2 - 250*r + 1360. Let a be n(-136). What is a rounded to the nearest ten thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*t**3*w**3 + 13*t**3*w**2 + 2*t**3*w + 2*t*w**5 + 6*t*w - 9*w**4 wrt w?\nAnswer: 18*t**3 + 120*t*w**2 - 216*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*6*(sqrt(3) + 2)*-5)**2 + (-5*1*sqrt(21))\/sqrt(7) + -4.\nAnswer: 3595*sqrt(3) + 6300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1349, -1321, -1269, -1187, -1069, -909?\n\"Answer: u**3 + 6*u**2 + 3*u - 1359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, d: 2, o: 5, p: 10}. What is prob of sequence lpd?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 362*z**3 - 15*z + 1971. Let r(x) = x**3 - 3*x + 1. Let y(f) = -k(f) + 5*r(f). Differentiate y(i) wrt i.\nAnswer: -1071*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(5\/2)*k)**(-35) assuming k is positive.\nAnswer: k**(-245\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, y: 1, z: 1, e: 2, a: 2, r: 1}. Give prob of sequence ry.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22443870623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231648 + 0*l**2 - 231648 - 4*l**2 + 0*l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 73 = -25. Let i = -8 + 12. Suppose -2*r = -4*r + i. Solve -r*o - a = 2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 252 divided by 187.\nAnswer: 252\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) -407\/6 (b) -51 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - (-4 - -4) - (-7)\/(-14)*-8. Solve -x - 5 = t, 8*t - 9*t - 1 = -c*x for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 875152 and 1977.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -9022.\nAnswer: 45110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1472420 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 0*q + q)*(-48 + 124 - 48).\nAnswer: 56*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*f**3 + 6*f**3 + 14*f**3 - 2*f**3 + 0*f**2 + 0*f**2 + (5 - f - 5)*(3*f**2 - f**2 - 4*f**2) - 1 + 1 + 2*f**3 + 50*f**3 - 1253*f + 1253*f.\nAnswer: 57*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -35*a**2 - 1 + 4*a - 1 - 3*a + 116*a**2. Does 26 divide p(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 4. Let d be 2\/(-13) + (-10)\/(-65). Suppose -3*b - 2*b = d. What are the prime factors of i(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/18 + (-16)\/3. Let m = i + 12. Let b be 1\/(1*m\/3). Which is smaller: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 != 1\/51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*r = -18. Let v = -17 + 9. Let u = 26 + v. What is the greatest common factor of u and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104 (base 5) to base 6\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 144, 531, 1162, 2031, 3132, 4459?\n\"Answer: -k**3 + 128*k**2 + 10*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 77*p + 413*p + 80*p - 1 as f*p + y and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 20*j - 9. Let y(n) = -n - 1. Let v(f) = i(f) + y(f). Let p(s) = 20*s - 9. Let w(z) = 4*p(z) - 3*v(z). Is w(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 244885.6 kilometers?\nAnswer: 244885600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(5 + -2*sqrt(500))*6 + (2*sqrt(3840))\/sqrt(12) + (sqrt(720) - (-1 + sqrt(720) + sqrt(720))*1))**2.\nAnswer: -259192*sqrt(5) + 2652921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -187400.2676 rounded to the nearest ten thousand?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**2 - 214645224*a + 2879535761625636 = 0. Calculate a.\nAnswer: 26830653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 <= 81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -4*k - 44, -2*q = -4*k - 14. Let c(u) = 114*u + 3. Let b(w) = -171*w - 4. Give q*c(n) + 5*b(n).\nAnswer: -57*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/9? (a) -11.5 (b) 7 (c) -1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -51232070 to the nearest ten thousand.\nAnswer: -51230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = j - 56. Let r be (j\/(-7))\/((-1)\/(-1)). Suppose r = 2*s + 4*q, 0 = 5*s + 4*q - 5*q - 27. Solve 0 = 2*u + 1 - s for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3335 + 2*o**2 - 7*o**2 - 3335.\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176 and 308?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2513*p**3*w**2 - p**3*w + 3*p**2*w**2 + 6581*p*w wrt p?\nAnswer: -15078*w**2 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 1 - 2*p + 11*p**2 + 20*p**2 - 2. Let h be q(2). What is the common denominator of 25\/6 and h\/4*(-4)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -616.5 plus -0.27291578?\nAnswer: -616.77291578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52 * -7635.\nAnswer: 397020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zzjzgpxjjgxzxpgzpzzg?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p - 4. Let s(d) = 2*d - 17. Let g(n) = n - 9. Let y(v) = 11*g(v) - 6*s(v). Determine -2*a(w) - 3*y(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (6 + -12) - (0 + -9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66d3d (base 15) to base 6.\nAnswer: 11001451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 25*j**2 - 25*j + 84. What is the remainder when 1417 is divided by d(26)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26207677 divided by 124207?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 0.05. Let x = -140 - -253. Let u = x - 112.8. What is the second smallest value in u, c, 1, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b + 8 = -10*b. Let m = 5 - 3. Solve m*w - b*j = -4*j + 12, -2*j + 2 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -11. Let v(r) = 8*r + 3. What is v(g)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -u**4\/12 - u**2. Let y(p) be the second derivative of 0*p**3 + 5\/6*p**4 + 0 + 3*p + 0*p**2. Calculate y(l(b)).\nAnswer: 40*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 equal to 3882?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.05 less than or equal to 4\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -56, 9\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -6*j**2 - 5*j - 10. Let m(u) = u**2 + u + 2. Let x(i) = -22*m(i) - 4*y(i). Solve x(c) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 102 - 1936\/19. Let u = -5629 - -5628.91. Sort u, i, -1 in increasing order.\nAnswer: -1, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11*-1*(-45)\/(30195\/(-854)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64 divided by 289.\nAnswer: 64\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 652899?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 5. Let c = 5019 - 943569\/188. Let w = c + -779\/1692. Which is smaller: i or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -0.1. Let h = -0.2 + f. Let v be (-3)\/65 + (-3)\/(-15). Put h, v, -0.1 in decreasing order.\nAnswer: v, -0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 549445919 is divided by 1968?\nAnswer: 1967","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -y**4 + 40*y**3\/3 - 32*y**2 + 777. Factor t(f).\nAnswer: -4*f*(f - 8)*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*v - 877 = -23*v. Suppose 3*k - v = -c, -3*k - 881 = -6*k - 5*c. Suppose a + 5*m - k = 0, -2*m - 332 = -a + 3*m. List the prime factors of a.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 2.8. Let w = 5338 - 5315. Which is the closest to w? (a) n (b) 4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5581489123?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m - 3*m + 6*m - 9 - 30.\nAnswer: 2*m - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/13? (a) 1 (b) -10 (c) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -346315*t**4 + 81385 wrt t?\nAnswer: -1385260*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1456*r - 2488*r - 3542*r - 93292 - 430728 = 0 for r.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 - -4333?\nAnswer: 4404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 9 = -0*i. What is the least common multiple of 1 and (11\/2)\/(i\/(-6))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-158)\/(-22) - (19 + -12)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + ((-4 - -9) + 0 + -6 - -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 85*b + 415 = 0, 5*b + 5 + 5 = -3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 91 - 86. Suppose -4*m + f + 1144 = 0, -5*f = x*m + 566 - 1996. Is m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 - ((-7 - -5) + -3)) + 12?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 - 56. Let z be (-5 - g)*(70\/25 - 3). Solve 2*n + z = 3*h + 15, -n - 2 = 3*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**3 + n**2 - 4*n - 5. Suppose 0 = 12*c - 5*c + 14. Let a be f(c). Let k be (0 - (-244)\/(-774)) + (-2)\/a. Which is greater: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2))**(-49)*(n**2)**(1\/8) assuming n is positive.\nAnswer: n**(393\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 426387\/41096 + -2\/5137. Let w = -549\/56 + o. Solve -w*c + 2\/7*c**2 + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10050 - -9527.9. What is d rounded to the nearest 10?\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(2\/29))\/(y*y**(2\/39)))\/(y**(-16)*y**(-13)\/y) assuming y is positive.\nAnswer: y**(33950\/1131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 - 357667573*u - 357667572.\nAnswer: -(u + 1)*(u + 357667572)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11232*u**4 - 59*u**2 - 2761658.\nAnswer: 44928*u**3 - 118*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 345687\/7 at most as big as 49383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (1*sqrt(175) - sqrt(175) - sqrt(175)) + sqrt(175) - (3 + sqrt(175)*1))**2 + (4 + -2*(-1 + sqrt(175)))**2.\nAnswer: -100*sqrt(7) + 915","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -2*b**3\/3 + 26*b**2 + 4*b - 32. What is the remainder when 35 is divided by f(26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 - 3*x - 11. Is u(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -1) + -3 - 24. Let q be (5\/210)\/(30\/b). Let f = q + 989\/420. Does f = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8 + -8 - 2*-1. Suppose 5*b + 3*w = k, w + 3 - 4 = -2*b. What is the remainder when 1 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -745 - -747. Put u, -5, 46, 4 in descending order.\nAnswer: 46, 4, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/(-24)*(-108)\/(-360). Let r = -52\/205 - 6\/41. Sort r, 3, w in descending order.\nAnswer: 3, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62d (base 14) to base 7\nAnswer: 3356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5*w + 28 = 5*j, -4 = -2*j + 2*w. Let n(v) = v**3 - 4*v**2 - 6*v - 6. Give n(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 106 - 107. Let t be (-5 + 4 - -4) + m. Suppose -2*c = -2*x - 1512, t*x = 5*x - 3. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 2017068615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*p**2\/3 + 5735*p\/3 + 75295 = 0. Calculate p.\nAnswer: -37, 1221\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 5*z + 2. Let d be b(-2). What is the units digit of 2\/d + (-13)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*b**5\/9 - 10*b**4 - 16*b**3\/3 - 8*b**2\/9 = 0 for b.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -2, -9, -5.\nAnswer: -9, -5, -2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -323 - -623\/2. Let b(q) = -q**2 + 15*q + 2. Let t be b(15). What is the common denominator of t*(476\/(-240) - (-2)\/(-3)) and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - j. Let w be k(0). Suppose -15*l = -l - 2*l. Suppose 149*c = 127*c + 110. Solve -d - c*o = w, -3*d + 4*d + 3*o = l for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 403*m = 408*m - 25. Suppose 2*r + 3*z + 3 = 2, -4*r - 3*z = 5. Let o be m\/r*(-2 + (-6)\/(-5)). Solve k = 4*s - 22, -6*k - 20 = -o*s - k for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*v + 28*v - 43*v + 2 + 51*v**2 + 6*v to the form z + h*v**2 + c*v and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22859 is divided by 22834?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eet when three letters picked without replacement from {e: 3, t: 2, p: 6, d: 4}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/8*t**2 + 2809\/8 - 53\/4*t.\nAnswer: (t - 53)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -61 (b) 8393 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2 - 88*i + 61*i - 106*i. Let r be m(-4). Let v = r + -237. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -298 + 340. Suppose m = -3*t + 243. What are the prime factors of t?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 y when three letters picked without replacement from {q: 3, y: 3}?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 10 + 0 = 0. Suppose -55 = -y*o - 3*o. Is o a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2910450, -11641791, -26194024, -46567149?\nAnswer: -72761166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/(-14) - 131\/(-2). Calculate the greatest common factor of 22 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-15)\/(v\/(v\/(v**(-9)*v))) assuming v is positive.\nAnswer: v**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -8*b**3\/3 - 11*b**2\/2 + 14*b. Let m be i(-3). What is the highest common divisor of 148 and m?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 1)*4 + sqrt(117).\nAnswer: 4 + 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82778, -165493, -248208, -330923, -413638, -496353?\nAnswer: -579068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 1 = f. Let s = -0.09 + 0.29. Which is the nearest to f? (a) 0.4 (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1177, -1172, -1173, -1186, -1217, -1272, -1357?\n\"Answer: -c**3 + 3*c**2 + 3*c - 1182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 525266 and 952?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -z**8\/168 - z**7\/168 + z**6\/9 + z**5\/6 - 7*z**3\/3 - 32*z. Let u(p) be the second derivative of a(p). Factor u(t).\nAnswer: -5*t*(t - 2)*(t + 2)*(2*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*m - 4*d, -4*m + 4*d = -5 - 11. Suppose -m*y + 6 = -6. Let u be 10\/6 - -3 - 3. Which is smaller: y or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*d + 6954 = 271464. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 332505 + 2?\nAnswer: 332511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of n**5 + 5*n**4 + 25*n**3\/3 + 5*n**2 - 4. Solve k(m) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5, 5, 3, -17, -61, -135?\n\"Answer: -s**3 + 17*s - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 5*s**2 - 5*s - 7. Let l be d(6). Let x(u) = -u**2 + 6*u - 1. Calculate the lowest common multiple of 2 + 0 + 1\/l and x(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j + 1. Let a(h) = h + 1. Let m be (-36)\/(-10) - (-200)\/500. Determine m*a(w) - 4*p(w).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1680 divided by 1?\nAnswer: 1680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4045628155 to the power of 1\/3, to the nearest integer?\nAnswer: 1593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/3, 2\/49, -41, -0.05, -1, 7, -3\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -68*a - 3038. Calculate p(-34).\nAnswer: -726","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38246 + (24 - 22 - -22).\nAnswer: 2, 5, 43, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -130.4536027 to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43*n**2 + 5*n**4 + 3*n**2 - 6*n**5 - 5*n**4 wrt n.\nAnswer: -360*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*y = -26*y - 5*y + 52*y + 1782 for y.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-2320)*-58)\/((-63)\/56).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -217, -230, -267, -340, -461?\n\"Answer: -2*v**3 + v - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2 - 6*j - 6. Let o be r(6). Let z be ((-72)\/o)\/(2\/(-625)). Round z to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 617169518 is divided by 176?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lhikliikkgllvll. What is prob of sequence hgi?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v\/v**0))**(-29\/4)*v*v**(-3)*v*v*v*v\/(v*v*v**(-2\/9)))**(1\/9) assuming v is positive.\nAnswer: v**(-253\/324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 21 = 3*b + 5*v, 4*v = 4*b + 6 + 18 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - x = 21, 4*p - 24 = -p + 4*x. Suppose v - 9 = -r - r, -r + p*v = 0. Solve -s + 3 = r for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14040 is divided by 1425.\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 29946832?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 32*x + 34*x - 111*x + 31*x + 29*x. Let l(i) = 7*i. Calculate l(p(v)).\nAnswer: 105*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 3847441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5*d**2 + 2*d - 8. Determine b(3).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -30.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2392 and 3359564.\nAnswer: 6719128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 - 34. Factor -2\/5*y**2 + 4\/5*y - 2\/5*y**x + 0.\nAnswer: -2*y*(y - 1)*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110100 + -100011?\nAnswer: -101010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 51, -0.5, -369\/59, -2\/5, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-5) - (-52)\/20. What is the third derivative of 6*n**6 + 7*n**6 - 2*n**u - 8*n**6 wrt n?\nAnswer: 600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10494*q**3 + 208*q**2 - 18*q wrt q?\nAnswer: -62964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6304102192?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*c - 3*i = -1, 0 = -2*c - 4*i. Suppose -n = -c*n. Solve n = 3*r + 15, -6*w - 1 = -3*w + 2*r for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 5\/3*v**3 + 0*v**5 + 0*v**4 + 0*v**6 + 0*v**2 + 0*v + 10\/7*v**7 - 11. Find the third derivative of s(a) wrt a.\nAnswer: 1200*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4)\/w)**28\/(w**(5\/7)\/(w*w*w*w\/(w\/w**27)*w*w)) assuming w is positive.\nAnswer: w**(-761\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 128.816652 to 1 decimal place.\nAnswer: 128.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -771 - -1650. Suppose 0 = -4*b - 4*q + 1788, 0*b - 2*b + q = -w. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1642025853 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.06255 - -0.33745. Sort -1\/4, i, 0.1, -10, 2 in ascending order.\nAnswer: -10, -1\/4, 0.1, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1333\/1788 + 2\/447. Which is the second biggest value? (a) r (b) -5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(8\/(-54)) + 0. Let d = x + -7. Which is smaller: -0.2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -5*z + 3*z + 23, -z + 5 = -5*j. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 12*v**2 - 25*v + 2. Let x be j(14). Suppose 2*t + 2*m - 65 = -19, -2*t + x = m. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 13 - ((6 - 5) + -28 + 5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -454*x - 4 + 2728 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-9) - 7004\/(-153). Let l = r - -28. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -6 - 729898*r**2 + 729904*r**2 + 21. Let b(f) = -3*f. What is b(t(m))?\nAnswer: -18*m**2 - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 144884, 0 in descending order.\nAnswer: 144884, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1536 and 14?\nAnswer: 10752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 1839.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 4:27 AM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2455 - 1872. Is d a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -5*y + 11, -3*y + 0*v = 4*v + 5. Let n = -573 - -5171\/9. Which is smaller: y or n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8729558 and 4.\nAnswer: -34918232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 728 and 31512?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.178 - -112.178. Let o = -13012 + 12899.8. Let l = z + o. What is the nearest to 1\/5 in -1\/6, l, 9?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3548802 (base 9) in base 14?\nAnswer: 38078a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, a: 3, w: 11, r: 2}. What is prob of picking 2 r and 1 a?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5))**(-1\/3)*t**(-2\/69)*t*t\/t**(-27) assuming t is positive.\nAnswer: t**(2114\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 12\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1244*y + 624*y + 622*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 10*a**2 + 13*a + 10. What are the prime factors of o(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -57, -61?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.684 rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 12 = 4*y, -6*a + 5*y + 23 + 82 = 4*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15226696 and 20?\nAnswer: 76133480","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose l + a + 29 = 0, -3*a + 8*a + 41 = -l. Let h = 32 + l. Suppose -5 - 25 = -h*o. Solve -3*k - 5*y = k + 6, o*k + 18 = -y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j + 1. Let d be l(-2). Suppose -3*u - 17 = -0*o - o, d*u - 5*o + 35 = 0. Let h(r) = -r - 3. Give h(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.49 - -4.17. Let n = -3.68 + l. What is the nearest to -0.2 in n, 1\/7, -5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2\/8 - (-318)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/5 + 14571756*a**2\/5 - 58287048*a\/5 + 58287056\/5.\nAnswer: 2*(a - 2)**2*(a + 7285882)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51 - -58. Suppose -2*m = p*m - 378. Let b = m + 0. Is b a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -0.3, 2\/87?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 9*l = -464. Let z = 139 - l. Suppose 322 = 3*b - b. What is the highest common factor of b and z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2911 is divided by 1449.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/3)\/(19\/30210). What is the greatest common divisor of x and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 + 50 + -8 + 0 + (2 - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 8 = 0, -9 = u - 0*c + 5*c. Let b = 5 - u. Suppose 0*f - b*f + 2760 = 0. What is f rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 922 is divided by 30.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.01 (b) 2\/3 (c) -209468\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*s**4 + 79*s**3 - 155*s**2 + 101*s - 18.\nAnswer: -(s - 9)*(s - 1)**2*(7*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4346 (b) 3 (c) -3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 238*x**5 + 21*x**2 wrt x?\nAnswer: 14280*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - v**2 + 5*v + 2. Let o be s(-3). Suppose -3*l - o = -20. What is the remainder when 12 is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 60*i - 55*i - 325. Let o(t) = -130 + t**3 + 67 - 2*t**2 + i + 2*t - 6*t. Determine o(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3493875 is divided by 130?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/135 + -226\/135. Let l = -2.3347 - 0.6653. Sort l, 0.2, -4\/7, r in decreasing order.\nAnswer: 0.2, -4\/7, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(192) + sqrt(192))**2 + sqrt(3) - sqrt(3) - (-2 + sqrt(300)).\nAnswer: 54*sqrt(3) + 774","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 658151.4 weeks?\nAnswer: 4607059.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {v: 11, c: 5, j: 2, l: 2}?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001100000 (base 2) to base 11.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -14. Let c = 0 + -10. Let q = c + z. What is the nearest to q in -1, -0.3, 2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 165 = z + 2*z, 4*i + 623*z = 625*z - 110 for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/60 - 20\/50.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((m - 3*m + 0*m)*(-1 + 3 + 0) + 0*m + 0*m + 3*m - 3*m + 5*m + 0*m)*(-76 - 94*m + 75 - 121*m).\nAnswer: -215*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2615774*p**2. Let m(k) = 3*k. Give u(m(f)).\nAnswer: 23541966*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*d**3*x - 6*d**3 - d**2*w*x - 11*d**2*w + 16*d**2*x + w with respect to x.\nAnswer: -13*d**3 - d**2*w + 16*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 + -45 + 22 + (1 - (9 - 8) - 1)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - (-11 + 8) - -25?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide ((-4)\/6)\/(5\/(-135))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177256.64 times 0.03?\nAnswer: 5317.6992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 16 = -2*k, 2*k + 5*f - 26 = -7. Suppose -3*u = -3*x - 15, 20 = 2*u - k*u. Sort -3, 1, x in increasing order.\nAnswer: x, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2498, -5017, -7536, -10055, -12574, -15093?\n\"Answer: -2519*x + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*m + 2*z, 9*m - 14*m + 4*z + 12 = 0. Suppose 0 = -m*v + 2*v + 3126. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -383.3252 times 0.4?\nAnswer: -153.33008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 408 is divided by 82?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 67763 = 64537. Suppose -3*a = -4*a - p. Let g be a*(4 + 352\/12). Round g to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -282, -560, -840, -1122, -1406, -1692, -1980?\n\"Answer: -k**2 - 275*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -59*u + 53*u + 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 7:47 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 7*p - 2*p = 20, 4*x - 4*p + 8 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1126 - 326?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5402500 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -392*p**3 - 26*p**2 + 13*p - 1. Let l(z) = 196*z**3 + 14*z**2 - 7*z - 1. Determine -7*k(w) - 13*l(w).\nAnswer: 196*w**3 + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -430.924 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2725 at least -2429?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y = -31*y - 126 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 1:41 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1550)\/3131)\/(-50))\/((-3)\/(3*2)).\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/189 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 660 is divided by 34?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -35620000 rounded to the nearest 1000000?\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 47 and 60 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 281 (b) -0.4 (c) 38 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -11*q**2 - q - 1. Determine o(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1649.\nAnswer: 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2552535.857 rounded to the nearest one thousand?\nAnswer: 2553000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w**2 + 4*w**3 + 349*w**4 + w - 2*w**3 - 73 - 345*w**4 - 4*w**3 to the form o*w**3 + v*w + u + r*w**2 + i*w**4 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2657 divided by 18928.\nAnswer: 2657\/18928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**2*x*x)\/x)\/((x*x**(3\/10)*x)\/x))**(-1\/12) assuming x is positive.\nAnswer: x**(-9\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 3*a - 23, -4*a - x + 6*x = -72. Let y(j) = j**3 + 13*j**2 + 10*j - 10. Let i be y(-12). Let p = i - a. Let b(l) = 2*l**2. Give b(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14879.\nAnswer: 14879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -159389.\nAnswer: -2\/159389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 8*r + 10. Let y be f(-8). Let l be 15\/(1\/(-22)*-3). What is the greatest common divisor of l and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r - 3*r**2 + 16 + 2*r**2 + 0*r**2 - 17*r. List the prime factors of i(-14).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 - -1059. Suppose k = -18*w + 21*w. Is 19 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/((1 + 1)\/(190\/(-15))). Let z(f) = -8*f**2 + 63*f**2 - 23*f**2 - j*f**2. Let k(w) = -2*w**2 + 3*w**2 + 2*w**2. Determine z(k(c)).\nAnswer: 117*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 516, 482, 436, 372, 284, 166, 12?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*a**3 + 4*a + 21*a**3 - 4*a - 45*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 12. What is k(0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1887?\nAnswer: 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -60, -21, 20, 63, 108?\n\"Answer: f**2 + 36*f - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = 3*f - 618. Let l be (20\/(-14))\/(f\/(-490)). Factor 0 - 4\/7*q**2 - 8\/7*q + 8\/7*q**3 + 4\/7*q**l.\nAnswer: 4*q*(q - 1)*(q + 1)*(q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 704*g - 11. Let f(q) = 352*q - 6. Let s(w) = 3*d(w) - 7*f(w). Let i be s(-4). Let b = 983 + i. What is b rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36.14 - 0.86. Let q = h + 53. Let b = -17 + q. What is the biggest value in -0.3, b, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + 323\/(-2) - (-8)\/(-16). Let g be (-6)\/15 + 5\/((-125)\/x). Let p be g\/(-33) + (-96)\/(-44). Solve 3*j - 5*j = p for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8836 divided by 4?\nAnswer: -2209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 25446 divided by -6\nAnswer: -4241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -339, -1381, -2447, -3537, -4651?\nAnswer: -5789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4\/5, -4 in decreasing order.\nAnswer: 4, -4\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/7470 and 119\/57270.\nAnswer: 171810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 1350?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4370251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 106 + -94. What is the smallest common multiple of a and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x = -163 + 103 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/649 in -4, 9.67, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 15, c: 5}?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 45\/(-6)*1*2. Let z be 2\/(54\/s - -2). Let t = 7\/4 + z. What is the third smallest value in 5, 1\/10, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 744.9 + -808. Round a to the nearest integer.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**4 - r**2 - r - 1. Let d(x) = -524*x**4 + x**2 + x + 502. Let o(k) = d(k) + w(k). Find the first derivative of o(c) wrt c.\nAnswer: -2092*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.021 + 123.021. Let c = -84339 - -84215.886. Let r = c + m. Round r to two dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 0 - (-8 + 8). Suppose -2*b + 3*y = g, -3*y + 10 = -y. Suppose -27 = -4*x - b. Solve -l - x = -0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = l + 10. Let n = l - -10. Is (-3837)\/(-21) + n\/(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8476, -16934, -25378, -33802, -42200?\n\"Answer: b**3 + b**2 - 8468*b - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 8*p**2 - 10*p - 9. Suppose 4*n = -31 + 3. Let l be o(n). Let r = l - 6. What is the smallest common multiple of 8 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1)**13 assuming v is positive.\nAnswer: v**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 6*i - 4*f = -1039, -i - 5*f + 339 = 0. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 > 2799\/112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -83*z**3\/6 + 105*z**2\/2 - 51*z. What is the hundreds digit of k(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 111\/39 - (-2)\/13. Suppose 0 = v*x - 553737 - 237006. Let w = 26419 + x. What is w rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*j - 553 + 413. Solve 4*g + 4 = -b - 0*b, 4*g + j = 3*b for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/(-20))\/((-3)\/18). Let o(g) be the third derivative of -g**4\/12 + g**3\/6 + 2*g**2. Calculate o(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - 14. Let y(i) be the third derivative of -i**6\/120 - i**5\/5 - 11*i**4\/24 + i**3\/2 - 6*i**2. Let p be y(-11). Solve p*g = g + r for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + -16. Let l = 8 + f. Let k = 13 + l. Sort k, 1\/9, 4 in descending order.\nAnswer: 4, 1\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 12*i = 0. Let x(c) be the second derivative of 2*c + 1\/6*c**3 + i + 0*c**2. Let k(f) = -f**2. Give k(x(y)).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -84 + 160. List the prime factors of k.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 141 and 36989?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-119)*(-14)\/6*113\/(2034\/81)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 77*(-6)\/24*-16.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 593*n + 2*n**2 - 299*n - 294*n - 2511 to k*n + m + g*n**2 and give m.\nAnswer: -2511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 472 is divided by 79?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-4))\/(-6 + (-407)\/(-66)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*x + 39*x + 50 = 0. Suppose 3*i - 10 = -z, 0 = 240*z - 245*z - i + 22. Solve v = -z*v - x for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 1 = 4*x, -x + 3*x + 5*a - 7 = 0. Solve 3*m = 2 + x for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**3 + 2*s**2 - 1 + 0 + 5*s**3)*(3 - 1 - 4)*(-7*s**2 - 422 + 422).\nAnswer: 28*s**5 + 28*s**4 - 14*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1035.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 156669 less than 2976700\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11504184 and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13939, -14445, -14951, -15457, -15963?\nAnswer: -16469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 17*v**2 - 12*v - 32. Suppose -58 = -f - 42. Is m(f) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-15)\/(-9))\/(11\/165). Let h(a) = 6*a**3 - a + 1. Let c be h(1). Suppose 5 + l = c*r. Solve 0*v - 5 = r*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1383 - -3?\nAnswer: -1380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 36*v - 80. What is the units digit of x(-23)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3161 or -7?\nAnswer: 3161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*p**4 - 68*p**2 + 25*p**2 + 1132*p**3 - p - 572*p**3 - 567*p**3 - 45*p**4 in the form v*p**2 + u*p + h*p**4 + s*p**3 + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52834 - 14823. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71532913 a multiple of 474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - y**2 - y - 1. Let s(q) = -2*q + 2 - 51*q**2 + 50*q**2 + 0*q - 5. Give 2*n(h) - s(h).\nAnswer: 2*h**3 - h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13996.6 - 13997. Let o = 3.7 + 1.3. Put o, 3, 0.09, i in decreasing order.\nAnswer: o, 3, 0.09, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9083, -9082, -9081, -9080, -9079, -9078?\nAnswer: -9077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/4)\/((-1)\/(-2)). Let i(z) = -z - 12. Let o be i(-14). Suppose 4*d - 7 = 5*q + 16, o*d + q - 1 = 0. Solve -d*x + 9 = -s*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130)\/(-1*sqrt(5) - sqrt(5)))\/sqrt(2))**2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 26 - 2. Suppose -3*t - 180 = x*t. Let i = 26 + t. Solve -5*m + 2*l - 41 = -i, -3*m - 31 = -4*l for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29664, 31241, 32816, 34389, 35960, 37529, 39096?\nAnswer: 40661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -779\/2 + 390. Do j and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 886517 is divided by 98500.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 3 - -12) + -20 + 7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1442861.\nAnswer: 7, 206123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*k**2 + 2)*(1 + 1 - 1)*(-153 + 209 - 115) + 0 + 0 + k**2.\nAnswer: -117*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.32352 centuries to millennia.\nAnswer: 3.632352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 37 = 7*g. Let z = -2 - -4. Solve 0 = 4*m + 12, z*j + 7 = 3*j - g*m for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13015745?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -313*n + 5153. Give m(22).\nAnswer: -1733","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63546 is divided by 4888.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 10:52 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2. Let j(v) be the first derivative of -v**4 + 8*v - 4. Let p(i) be the first derivative of j(i). What is p(x(f))?\nAnswer: -12*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 128524376 to the nearest integer?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*o + 3, -4*o - 11 = u. Let i be 0 + (-96)\/8 - u. Which is the nearest to -1? (a) i (b) 0.02 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 112. What is the first derivative of 116*v**4 + 23 - c*v**4 + 45 - 6*v wrt v?\nAnswer: 28*v**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 11:04 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = 3*d + 120. Solve -24 = -3*r - 3*q, 9*r + q = 4*r + d for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*o + 2*o - 2*o**4 + 0*o - 1 + 0*o to q*o + b + w*o**2 + d*o**4 + n*o**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 4*m = 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 665 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1770 + 14*y - 8*y - 1770 + 4*y - 5*y.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7645 or -7671?\nAnswer: -7671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**1)**8\/(f**(-5\/6)\/f**(2\/29)))**(-13))**(2\/37) assuming f is positive.\nAnswer: f**(-20137\/3219)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/38378 and 41\/217.\nAnswer: 268646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - d**2 + 14. What is the smallest common multiple of b(0) and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence efff when four letters picked without replacement from {f: 1, e: 11}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -30710 rounded to the nearest 1000?\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -25818625.\nAnswer: 51637250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1355172.\nAnswer: 2, 3, 7, 13, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 189272 divided by 2\nAnswer: 94636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -505.904114 rounded to 1 dp?\nAnswer: -505.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -10. Which is the fourth biggest value? (a) 0.2 (b) h (c) 1\/7 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 4753.\nAnswer: 4\/4753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17153 is divided by 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 3, -0.1, -3\/8, 15\/26, -46?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 7:34 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17.1927 + 17.2. Let y = k - 0.008233. Round y to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42 + 92. Is 5 a factor of v\/8 + 36\/(-48)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = -5*o - m, 5*m - 2*m - 37 = -o. What is the remainder when 40 is divided by o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*p**4 - 63*p**3 + 75*p**2 + 54*p.\nAnswer: 3*p*(p - 9)*(p - 2)*(2*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 189\/(-35) + (0 - -1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (48*k - 721 + 7*k - 56*k)*(-1 - 4 + 1) to d + t*k and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1069313398?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - t - 5 = 0. Let f = t - -2. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, f: 3}. What is prob of sequence fzf?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -22*k + 36. Suppose -21 = 3*c + 9. What is the hundreds digit of u(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.863006l to millilitres.\nAnswer: 8863.006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3ab855 (base 12) to base 11\nAnswer: -605929","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2400.4 - -3.91855?\nAnswer: 2404.31855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 2:19 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/12 - 11\/3. Let k be ((-242)\/(-33))\/(m\/(-6)). Let h = k + 4. What is the greatest common factor of h and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = 7143 - 951. Let n = -436 - a. What are the prime factors of n?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11115471949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 11 - 26 = 0. Suppose 0 = -5*d + 4*d + 5. Let z = d + l. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -t**7\/6 - 7*t**4\/12 + 4*t. Find the third derivative of p(b) wrt b.\nAnswer: -420*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**3 + 2098034*i**5 - 2099032*i**5 - 3*i**3 + (-2*i**2 - 2*i**2 + 6*i**2)*(-2*i**3 + 3*i**3 + i**3).\nAnswer: -994*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*f + 100500 = 0, 0 = 3*n + n + 5*f + 134000. What is n rounded to the nearest 1000?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 16758*x + 50337. What is c(-3)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5558055*g**2\/4 - 5558061*g\/2 - 6 = 0.\nAnswer: -2, -4\/1852685","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 592*d**2 + 296*d - 296*d - 1185*d**2 + 591*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 26\/5 + (2 - 4). Let i be (1\/(10\/4))\/((-71)\/(-710)). Suppose 0*u + 4*u = i*b - 20, 2*b - 12 = 4*u. Which is smaller: b or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-6)*(12 - (-882)\/(-105))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 1. Let b be -3*(5 - (w + 2)). Let x(a) = 2*a**2 + 7*a - 9. Let r be x(b). Calculate the greatest common factor of r and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, -49\/10, 16?\nAnswer: -49\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 1:11 AM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.98 + -4.98. Which is the smallest value? (a) k (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 - 90*n.\nAnswer: 5*n*(n - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201 (base 6) to base 5.\nAnswer: -243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + d - 20. Suppose -c + 6 = 6*t - 3*t, 2*t - 5*c - 21 = 0. Let g = d + t. What is the least common multiple of g and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 91, -55, 2, -1, -7 in ascending order.\nAnswer: -55, -7, -1, 2, 6, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75) + 4 - (sqrt(27)*-2)\/sqrt(9).\nAnswer: 4 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 8*c**2 - c - 6. Let l(g) = -24*g**2 + 3*g + 17. Determine -11*j(n) - 4*l(n).\nAnswer: 8*n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 17*o**3 - o**2 + o - 1. Let r be a(1). Suppose 2*m = -4*q + 62, -q = -5*q + r. Calculate the remainder when m is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(30) - sqrt(30))*5)\/((sqrt(30)*-1)\/sqrt(3)) - ((3*sqrt(1089))\/sqrt(3) + 1))*1.\nAnswer: -23*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 57?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r. Let u(s) be the third derivative of 0 + 3*s**2 - 1\/24*s**4 + 0*s**3 + 0*s. What is u(l(i))?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 2 = i, -13*i + 95 - 1 = n for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g = -1405 - 425. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22571670 is divided by 22571658.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 10 = -5*q. Suppose 32*k - 57 = 39 + 192. Suppose 924 = q*j + k*j. List the prime factors of j.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -0.1 (c) 30 (d) -1 (e) 0 (f) -0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 - 31. Suppose f*d - 10582 = 9206. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/6 + 2)\/((-1)\/(-3)). Suppose 324 = 4*m + 5*j, 36*j - 312 = -o*m + 34*j. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4 = 2*a, 0 = 3*v + 2*a - 8 - 1. Let u be 3 + 4 + v + 1. Calculate the highest common factor of u and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -w**7\/480 - w**6\/120 + w**5\/120 + w**3\/3 + 147*w - 18. Let v(r) be the third derivative of c(r). Factor v(f).\nAnswer: -f*(f + 2)*(7*f - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1749686\/435)\/(-97) + 42. Factor -2\/15*i**2 + 8\/15 + 2\/15*i**3 - g*i.\nAnswer: 2*(i - 2)*(i - 1)*(i + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.055 in 3, 640, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 + 31 - 16)*(2*x - 2 + 2) + (-4 + 0 + 1)*(-2*x + 0*x + x).\nAnswer: 99*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - h + 1. Let i(t) be the third derivative of t**5\/15 - 5*t**4\/24 + t**3\/2 + 217*t**2. Give 5*b(m) - i(m).\nAnswer: m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g + 113. What is the hundreds digit of m(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h**2\/3 + 11*h\/3 + 10\/3 = 0. What is h?\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6*10\/75*390. What is u rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6476, 9099, 11724, 14351, 16980, 19611, 22244?\n\"Answer: l**2 + 2620*l + 3855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/340 and 2\/(-80)*(-5)\/((-70)\/(-1554)).\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3214310 rounded to the nearest 100000?\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*o = 2*y - 18, 12 = 3*y. Let t = -10 + 11. What is the nearest to t in o, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -404*v + 202*v - 427*v + 275*v - 423*v - 364*v.\nAnswer: -1141*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12809 - -12814. Solve 5*j - 19 = 4*k - 10, -3*j - f*k = 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q - 7*q + 15*q - 4.\nAnswer: -2*q - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -6.7. Let s = l - -1.699944. What is s rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.55 + -2.65. Which is the closest to -0.1? (a) k (b) 4 (c) 1\/5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/5*14\/21. Let x = -4.08 + 0.08. Let r = x - -2. Which is the nearest to -1? (a) k (b) 0.3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.143416 != 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 53 and -0.005?\nAnswer: -0.265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1.211 * -25\nAnswer: 30.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -1921200.\nAnswer: -3\/640400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13636, 13641, 13648, 13657, 13668?\nAnswer: 13681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2983739\/50694 - -5\/7242. Which is bigger: -59 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.1, 0.4, -61?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 712?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, l: 3, p: 2, q: 4, f: 1}. Give prob of sequence lrp.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12075 and -28.\nAnswer: -338100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 9475 = -8*h. What is the common denominator of 4\/28 - h\/210 and -49\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/21 - (4 - 1)*174030\/(-126). What is the highest common factor of 1008 and x?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (((-15)\/2)\/5 + 3)\/((-5)\/(-10)). Solve 3*i + 21 = -p*h, 33*h + 1 = 5*i + 29*h for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - (-1)\/2)*1. Let r = 0.092 + 0.108. What is the second smallest value in r, -2, j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1585 and 31128766?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2. Let m(y) be the first derivative of -y**2 - 2. Determine m(n(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g + 4*g - 14*g + 3*g to j + t*g and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -t**4\/12 - t**3\/6 + 7*t**2\/2 + 120*t. Give b(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -403 (b) 5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = 5*s - 3*z, -z = -s + 2*z - 159970 + 159987 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 81 and -1718425826239.\nAnswer: -1718425826158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 1811*f. Let p(b) = 2*b**2. What is o(p(l))?\nAnswer: 3622*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.19 - -0.89. Let o = 1.06 - 0.06. Let z be 10\/20 + 2\/(-6). Sort n, z, 3, o.\nAnswer: n, z, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 5*j + 25710 = 0, 5*j - 14885 - 5678 = -4*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29 - -28) + (-15)\/(-18).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1578679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9831734761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 121162.2940271 + -121154.194. Let m = -8.1 + f. What is m rounded to 6 decimal places?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -94*o + 4. Determine q(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*r**3 + 9*r - 9*r + (7 + 0*r - 4*r - 6)*(-3*r**2 + 2*r**2 + 5*r**2) as s*r**3 + x + a*r**2 + q*r and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, e: 7, q: 1, z: 8}. What is prob of sequence zqqq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 1 (c) -2\/141 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204 = 30*n - z, 3791*n = 3789*n - 5*z + 44 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - c + 10 = 0. Suppose -3*h - 2 = -2*i, c*h + 3*i - 20 = -2*h. Solve g - 2 + 4 = -u, 5*u + 1 = -h*g for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 2 + 10. Suppose -a*f + f - 6 = 0. Let v(c) = -c**3 - 5*c**2 - 3*c + 3. Let n be v(-3). Is n less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2901982l?\nAnswer: 290.1982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3689640 and 266751.\nAnswer: 2493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-7) - 304\/112. Let p be 6 - 7\/((-7)\/l). Sort p, 5, -3 in decreasing order.\nAnswer: 5, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 947332.7588 + -948232. Let w = u + 899. What is w rounded to two decimal places?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -83982\/3055 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in grams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.673 - -4.673. Let v(g) = -2*g + 7. Let n be v(6). Which is the third smallest value? (a) o (b) 0 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-3)\/126*-48?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23156 and 36.\nAnswer: 208404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjqb when four letters picked without replacement from {q: 4, j: 2, b: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -282 divided by -6?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 150 = -3*t. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(-24)\/g)**(1\/3) assuming g is positive.\nAnswer: g**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 4 (b) 1 (c) -1 (d) 100\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -309868 at most as big as -309364?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 divided by 3?\nAnswer: 115\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20096, 41140, 63122, 86042, 109900?\nAnswer: 134696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, 2, 9802.\nAnswer: -50, 2, 9802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of 0*y**4 - 23\/6*y**3 + 0 + 29\/60*y**5 + 0*y + 18*y**2. Find the first derivative of a(w) wrt w.\nAnswer: 58*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gpq when three letters picked without replacement from {q: 2, g: 6, p: 1, z: 4}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*z + 30 = -156*z - 2*u, 0 = 4*z + 71*u + 860 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 161160 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: What is the units digit of 41884115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6561787+-41980239\nAnswer: -35418452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - j - 17. Let d be v(-7). Let b = d - 38. Let p = 108 + -106. Solve 3*i = b + p for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.96566768 rounded to 1 decimal place?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -5*s**3 - 3*s**2 + 3*s - 20. Let y(o) = -4*o**3 - 4*o**2 + 4*o - 20. Let r(d) = -4*w(d) + 3*y(d). Differentiate r(n) with respect to n.\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*s + 0 + 3 + s**3 + 8 + 18.\nAnswer: s**3 - 22*s + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 107 - 70. Suppose 4*j = -5 + c. Suppose 3*v = 3*z - 12, v - 13 = -4*z + 18. Solve -5*i - j - z = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*a - 157 = 173 - 0. Solve 3*c + a = -2*f, 5*f - 4*c - 66 + 67 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 23856*v + 119248. Determine f(-5).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2304274 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 318716522 to the nearest integer?\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + q**2 - 4. Let a be v(-2). Let c be (-160)\/30*(-6)\/a. Solve y - 5*z - 28 = 0, -c*y - y + z + 20 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 13015413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 4. Suppose 5*j + 7*n = m*n + 10, -4*j = n - 8. Suppose 4*p = 5*c + 38, 0*c - 24 = -4*p - j*c. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-115)\/10 - -11)*0. Which is bigger: 42\/43 or f?\nAnswer: 42\/43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290026.\nAnswer: 2, 11, 13183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 + 0*u**3 + 2*u**3)*(21*u - 2*u**2 - 21*u + 4).\nAnswer: -2*u**5 + 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16 and -142.46.\nAnswer: 2279.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 106 - 89. Suppose -105 = -z*p - 4*p. Solve 4 = -p*u + 4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -3*i - i + 28, -f - 4 = -2*i. Suppose 5*l - 34 = y, y - i = 2*y. Solve -12 = l*v - 3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19043*f*i + 10206*f with respect to i.\nAnswer: 19043*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 52*p - 9. Let b(d) = -26*d + 74. Let y(g) = 13*g - 32. Let u(f) = 3*b(f) + 7*y(f). What is 9*u(o) - 2*v(o)?\nAnswer: 13*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2160371 to the nearest integer?\nAnswer: 1470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-73)\/1)\/(((-4)\/16)\/((-14)\/168*-3)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-9))\/((-2)\/30). Suppose -x = 5*w + 15, 2*x + 2*w = s - 3. Solve 2*u - 5*u + 4*r + 20 = 0, -r = x for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 4:18 AM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 142051?\nAnswer: -142055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 - -29. Let c be 1 + z\/11 - 6\/(-33). Suppose 2*q + 19 = 5*g, -g - 3*g - 5*q = -2. Solve -w + 4 = c, g*w = -4*f - 0*w + 20 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75, 67, 63, 63, 67, 75?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 + 1. Let h be (-15)\/(-10)*(-2)\/(-3). What is the units digit of n(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26500367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or 30629?\nAnswer: 30629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 150 + -149. Put -4, c, -169 in ascending order.\nAnswer: -169, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v - 6. Let b = -14322 - -14319. Let l(i) be the second derivative of -i**4\/12 + 2*i**3\/3 + 7*i**2\/2 + i. Determine b*l(s) - 4*r(s).\nAnswer: 3*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 4*h**4 - 5144*h**3 + 1382532*h**2 + 174422752*h + 4599009856 = 0.\nAnswer: -49, 692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 670 and 1621200.\nAnswer: 108620400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 737 divide 1455575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 365828912?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -1 + 0 + 9 + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 + 38. Let h(s) = 82*s**2 - 1. Let u be h(l). Let z = 140 - u. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4286*p**2 - 8575*p**2 - 3 + 4295*p**2 - 6. Let h(t) = -t**2. Determine 3*h(v) + x(v).\nAnswer: 3*v**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -254\/3 + 86. Let r = 51 + -55. What is the third biggest value in -2, n, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-5))\/(6\/(-30)). Let v = 0 - m. Solve 0 = -v*i + 8 + 2 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of 2*g**2 + 2\/3*g**3 + 0 - 1\/20*g**5 - 1\/12*g**4 - 8*g. Determine o, given that r(o) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 124 - 123.99889. Round i to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -595 - -1117\/2. Let w = -536 - -2717\/5. Find the common denominator of w and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, v: 12}. What is prob of sequence avaa?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*t - 6*t - 24 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 87*u**5\/20 + u**3\/6 - 6*u**2 + 3*u - 72. Let k(y) be the first derivative of z(y). Find the second derivative of k(g) wrt g.\nAnswer: 522*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -262.5 less than 189?\nAnswer: 451.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b - 10*b + 14*b + 13*b.\nAnswer: 20*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5*d**3 - d**2 - 2*d - 3. Let b(t) = -t**2 + 17*t + 4. Let f be b(17). Is i(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 5*b - 5, 2*b - 15 + 1 = 2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, c: 3, r: 1, t: 1, l: 1}. What is prob of sequence nrt?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -161 divided by -40917?\nAnswer: 7\/1779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 - 121?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 268?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -6\/1387 (b) -4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 282489400 divided by -56497880?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 0*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 17\/4 of a meter?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (v - 2*v + 0*v)*(-3*v**2 + 0*v**2 + v**2) + 0*v + 0*v + 2*v**3 + (-700 - 684 + 1245)*(-5*v**3 + 2*v**3 + v**3) as k*v**3 + x*v + a + i*v**2 and give k.\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 42*y**3 + 91*y**2 - 141*y**2 + y**4 + 89*y**2 + 2*y**4 = 0.\nAnswer: -13, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 1)*1 - 7. Let k(t) = 28*t + 24. Let f(v) = -13*v - 11. Let g(w) = -13*f(w) - 6*k(w). Calculate g(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 26*g - 12*g + 43*g)*(g**2 - 3*g**2 + 3*g**2) to the form f*g + i*g**2 + t*g**3 + h and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 2*g + 3*g + (-1 + 1 + 2*g)*(2 + 0 - 1))*(-2*g**2 - g**2 - 2*g**2).\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 7*u**4\/24 + u**3\/3 + 7*u**2. Let v be n(10). Let d = -27 + v. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 12:55 PM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 5*b = 13 - 2, 2*b + 0 = 2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-105 - -108) + -2 + (5 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/8)\/((-15)\/12). Let b(o) = o**2 + o + 2. Let a be b(0). Suppose 0 = a*g - 5*g. Which is smaller: f or g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}